What is the slope and the y-intercept of the line on the graph below?

What Is The Slope And The Y-intercept Of The Line On The Graph Below?

Answers

Answer 1

The slope is the amount of change in the value of y for every one unit increase in the value of x. Thus, what we are looking for is, if the value of x increases by 1, by how much will the value of y increase (or effectively decrease, if this value is negative)?

From the graph, we can see that as x increases, y decreases, therefor we know that this will be a negative number. Furthermore, if we look at the points (0, 1) and (4, 0), we can see that there has been a decrease of 1 unit (or an increase of -1 units) in the y-value for an increase of 4 units in the x-value. Thus, if we wanted to find how much the y-value increases for a one unit increase in the x-value we would have -1/4.

This also reflects the formula for the gradient being rise/run - there has been a 'rise' of -1 (negative since it has fallen rather than risen) and a 'run' of 4 (this refers to the amount of units in the x-direction).

Now we can see that either C or D is the answer.

To find the y-intercept, we simply look at what the y-value is when x = 0; looking at the graph, we can see that y = 1 when x = 0, thus the y-intercept is 1.

Given that the gradient is -1/4 and the y-intercept is 1, we can see that the answer is C.

Answer 2

Answer: OPTION C

(c) slope = Negative one-fourth, y-intercept = 1

     slope = -1/4, y -intercept =1

Step-by-step explanation:


Related Questions

Question 8/Multiple Choice Worth 5 points)
(06.02 MC)
The masses, in kg, of some bags on an airplane are shown below:

7,6.2, 6.1,6.8, 6.1,6.2, 6.8, 5.8, 6.2, 6.3
Jack made the following box plot to represent the masses: its the pic i uploaded
Which of the following did Jack show incorrectly on his box plot?
1. Median

2. Minimum

3. First quartile

4. Third quartile

Answers

Answer:

1. The median.

Step-by-step explanation:

First arrange in ascending order:

5.8  6.1  6.1  6.2  6.2  6.2  6.3  6.8  6.8 7

The median = 6.2. On the box plot the median is marked at 6.3 so that is incorrect. All the others are correct

Find the volume of the prism below. Thanks!!

Answers

Answer:

The correct answer option is D. 168 units³.

Step-by-step explanation:

We are given a prism with known side lengths and we are to find its volume.

We know that the volume of a prism is given by:

Volume of prism = area of base × height

Here the base is a triangle so the base area will be:

Base area = 1/2 × base × height = 1/2 × 6 × 8 = 24  units²

Volume of prism = 24 × 7 = 168 units³

For this case we have that by definition, the volume of a prism is given by:

[tex]V = A_ {b} * h[/tex]

Where:

[tex]A_ {b}:[/tex] It is the area of the base

h: It's the height

The base of the prism is a triangle, then:

[tex]A_ {b} = \frac {6 * 8} {2} = 24 \ units ^ 2[/tex]

Thus, the volume is:

[tex]V = 24 * 7\\V = 168 \ units ^ 3[/tex]

Now, the prism volume is [tex]168 \ units ^ 3[/tex]

Answer:

Option D

What’s is sherry error?

Answers

Answer:

the answer is B.

Step-by-step explanation:

It makes the problem solve smoother.

Jace wrote a sentence as an equation.
56 is 14 more than a number.
14+ = 56
Which statement best describes Jace's work?
Jace is not correct. The phrase more than suggests using the symbol > and Jace did not use that symbol.
Jace is not correct. He was correct to use addition, but the equation should be 56+ p = 14
Jace is not correct. The first number in the sentence is 56, so the equation should start with 56.
Jace is correct. The phrase more than suggests addition, so Jace showed that 14 plus a variable equals 56.
O

Answers

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

56 is 14 more than a number.

Let the number be 'p'.

So, the equation would be

[tex]14+p=56\\\\p=56-14\\\\p=42[/tex]

Jace is correct. The phrase more than suggests addition, so Jace showed that 14 plus a variable equals 56.

Hence, Fourth option is correct.

Answer: Jace is correct. The phrase more than suggests addition, so Jace showed that 14 plus a variable equals 56

__________________________________________________________

Hence, (d) is correct.

Step-by-step explanation:

edge2023

Which is the graph of y=3x+1-2?

Answers

Final answer:

To graph the equation y = 3x + 1 - 2, find the slope and y-intercept. Plot the y-intercept and use the slope to find additional points. Connect the points to get the graph.

Explanation:

To graph the equation y = 3x + 1 - 2, we need to find the slope and the y-intercept. The slope, represented by m, is 3 in this equation. The y-intercept, represented by b, is -1. We can plot the y-intercept on the graph first, which is the point (0, -1). From there, we can use the slope to plot additional points and draw a line through them. Since the slope is 3, we can move up 3 units on the y-axis and 1 unit to the right on the x-axis to find another point. By connecting these points, we will have the graph of y = 3x + 1 - 2.

Learn more about Graphing linear equations here:

https://brainly.com/question/14240165

#SPJ12

The estimator for a​ heating, ventilation, and air conditioning​ (HVAC) contractor estimated that the new hospital would require​ 5,840 feet of sheet metal ductwork. The order is too large for a single​ fabricator, so it was decided to split the order among four fabricators. Fabricator 1 received an order for​ 2,500 feet; Fabricator 2 obtained an order for​ 1,200 feet; and Fabricator 3 was awarded a contract for​ 1,150 feet. How many feet of ductwork would be required of Fabricator​ 4?

Answers

Answer:

990 feet

Step-by-step explanation:

Fabricator 4 recieved what's left after the rest were distributed

= 5,840 - 2,500 - 1,200 - 1,150 = 990

Answer:

990 feet.

Step-by-step explanation:

To calculate the feet of metal that the last fabricator will sell, you just have to substract from the total feet needed the amount of metal that have been already ordered to the other fabricators.

Total metal duct work= Fabricator 1+ Fabricator 2+ Fabricator 3+ Fabricator 4

If you clear the equation it would be:

F4= Total- F1- F2- F3

F4= 5840- 2,500- 1,200- 1150

F4= 990 ft.

what is .838383... as a fraction in simplest form?

Answers

Answer:

4/5

Step-by-step explanation:

start with putting the decimal over ten

8/10

than divide numerator and denominator with the common denominator 2

8÷2=4 10÷2=5

4/5

.838383 as a fraction in simplest form is 4/5

answer please and how to do it​

Answers

Answer:

D. The graph w(x) is 7 units to the right of the graph of f(x).

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x + n) - shift the graph n units to the left

f(x - n) - shift the graph n units to the right

===================================

f(x) = x²

w(x) = (x - 7)² = f(x - 7) → shift the graph of f(x) 7 units to the right

Question 4 (5 points)
The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard
deviation of 5 points
About what percent of students have scored between 55 and 65 points?

a. 2.5
b. 47.5
c. 68
d. 34​

Answers

Answer:

Option C

Step-by-step explanation:

Given

Mean= μ=60

and

Standard Deviation= σ=5

In order to calculate the percentage of students between 55 and 65, we have to calculate z-score for both

z-score for 55=(55-60)/5  

=(-5)/5

=-1

The area to the left of z-score -1 is 0.1587

z-score for 65=(65-60)/5  

=5/5

=1

The area to the left of z-score 1 is 0.8413

Area between z-scores of 55 and 65=0.8413-0.1587

=0.6826

Converting into percentage

=0.6826*100

=68.26%

Option C is the correct answer ..  

Answer:

c. 68

Step-by-step explanation:

The empirical rule states that, if a population is approximately normal then 68% of the observations will fall within 1 standard deviation of the mean.

Going by this definition, 65 is one standard deviation to the right of the mean while 55 is one standard deviation to the left of the mean. Therefore, the percent of students who have scored between 55 and 65 points will be about 68%.

The question requires an approximation, About what percent, not exact computation. Thanks

Which statement is true about the geometric figure that can contain these points?

No line can be drawn through any pair of the points.
One line can be drawn through all three points.
One plane can be drawn so it contains all three points.
Two planes can be drawn so that each one contains all three points.

Answers

The simplest basic geometric object is a point. It is named with a capital letter and symbolized by a dot. The correct option is C.

What is the point?

The simplest basic geometric object is a point. It is named with a capital letter and symbolized by a dot. A point has no size and solely represents the position (that is, zero length, zero width, and zero height).

Since a plane is a flat, endlessly long two-dimensional surface. A plane is a two-dimensional analog that can incorporate three dimensions of space, a line, and a point.

Now, the statement that will be true about the three points given is that only one plane can be drawn so it contains all three points.

Hence, the correct option is C.

The complete question is mentioned in the image below.

Learn more about Points here:

https://brainly.com/question/1590611

#SPJ6

Which of the following lines is parallel to x = 7? (2 points) a 3y = 7 b y = 7 c x = y d x = 4

Answers

Answer:

Choice d. [tex]l:x = 7[/tex] is parallel to the line [tex]x = 4[/tex].

Step-by-step explanation:

Refer to the diagram attached. (Created with GeoGebra)

The line [tex]x = 7[/tex] is made of all the points on a cartesian plane that meet the requirement [tex]x = 7[/tex]. In other words, this line consists of points with x-coordinate [tex]7[/tex]. That includes:

[tex](7, -1)[/tex],[tex](7,0)[/tex], and[tex](7,1)[/tex].

That line is perpendicular to the x-axis (the horizontal axis) and intersects the x-axis at the point [tex](7,0)[/tex].

Now, consider the lines in the choices.

The first line [tex]3y =7[/tex] requires only that the y-coordinates of its points be 7/3. This line accepts any x-values. Points on this line include:

[tex]\displaystyle \left(-1, \frac{7}{3}\right)[/tex],[tex]\displaystyle \left(0, \frac{7}{3}\right)[/tex], and[tex]\displaystyle \left(-1, \frac{7}{3}\right)[/tex].

As a result, this line is parallel to the y-axis and is perpendicular to the line [tex]x = 7[/tex].

Similar to the first, the second line [tex]y = 7[/tex] is also parallel to the y-axis and is perpendicular to the line [tex]x = 7[/tex].

The third line [tex]x = y[/tex] requires that the x- and y- coordinates of all its points be equal. Points may include:

[tex](-1, -1)[/tex],[tex](0,0)[/tex], and[tex](1,1)[/tex].

This line is slant.

The last line [tex]x = 4[/tex] is similar to the given line [tex]x = 7[/tex]. This line is also perpendicular to the x-axis. The difference is that this line is three units to the left of the line [tex]x = 7[/tex].

Which equation has the solution set x = (23) ?

3x = 0

(x-2)(x-3) = 0

(x + 2)(x+3)=0

(2x+3)2 = 0​

Answers

Answer:

If you mean 2 and 3 it would be (x-2)(x-3)=0

Step-by-step explanation:

(x-2)=0

x-2=0 move the two on the other side to get positive

x=2

(x-3)=0

x-3=0 move the three on the other side to get positive

x=3

How can the average rate of change be identified for a function?

Answers

Answer:

[tex]Rateofchange=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

where x₁ and x₂ are values in the interval [x,y] respectively

Step-by-step explanation:

Well, first to determine the average rate of change of a function, you should have the interval of the values of x for the function.

So lets assume you have a function;

[tex]f(x)=x^3-4x[/tex]

And the interval as [1,3]

Then the average rate of change for the function f(x) will be;

[tex]=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

where x₁ and x₂ are the interval coordinates x,y respectively. In this case x₁=1 and x₂=3

To find the average rate of change in this example will be;

[tex]=\frac{f(x_2)-f(x_1)}{x_2-x_1} \\\\=f(x_2)=f(3)=3^3-4(3)=27-12=15\\\\=f(x_1)=f(1)=1^3-4(1)=1-4=-3\\\\\\=x_2-x_1=3-1=2\\\\\\=\frac{15--3}{2} \\\\=\frac{18}{2} =9[/tex]

for which of the following sample sizes(n)and sample proportions(p) can a normal curve be used to approximate the binomial probability
histogram​

Answers

Answer:

The answer isc

Step-by-step explanation:

C

Answer:

B. n = 65; p = 0.8

Step-by-step explanation:

Which statement best explains the relationship between lines FG an HJ?

Answers

Answer:

the answer is B. They are perpendicular because their slopes are negative reciprocals.

Step-by-step explanation:

If value of cos330° is √3/2 then find tan165°.

Answers

Answer:

-2+sqrt(3)

Step-by-step explanation:

When cos(angle)=sqrt(3)/2

then sin(of that angle)= + or - 1/2 depending on the quadrant

Anyways 330 degrees is in the 4 quadrant.  Cosine is positive there while sine is negative.

so sin(330)=-1/2

Formula for tan(x/2)=(1-cos(x))/sin(x)

Therefore  tan(165)=tan(330/2)=(1-cos(330))/sin(330)=(1-sqrt(3)/2)/(-1/2)

Multiply top and bottom by 2 to get

tan(165)=(2-sqrt(3))/-1

tan(165)=-2+sqrt(3)

The population P of a bacteria culture is modeled by P = 4100e^kt where t is the time in
hours. If the population of the culture was 5800 after 40 hours, how long does it take for
the population to double? Round to the nearest tenth of an hour.

Show work please
A LOT OF POINTS

Answers

Enter the given values into the equation and solve.

5800 = 4100e^(k*40)

Divide both sides by 4100 and simplify:

58 / 41 = e^(k*40)

Remove e by taking the logarithm of both sides:

ln(58/41) = k *40

Divide both sides by 40:

k = ln(58/41)/40

k = 0.00867

Now for the population to double set up the equation:

2*4100 = 4100e^kt

The 4100 cancels out on both sides:

2 = e^kt

Take the logarithm of both sides:

ln(2) = k*t

Divide both sides by k

t = ln(2) /k

replace k with the value from above:

t = ln(2) / 0.00867

t = 79.95

Rounded to the nearest tenth = 80.0 hours to double.

Answer:

It would take around 122 hours to double the population.

Step-by-step explanation:

To answer the question, we first need to find the constant k, using the given information and the expression.

[tex]P=4100e^{kt} \\5800=4100e^{k(40)} \\\frac{5800}{4100}=e^{40k}\\e^{40k}=1.41\\lne^{40k}=ln1.41\\40k=0.34\\k=\frac{0.34}{40}\approx 0.0085[/tex]

Now that we have the constant. We can find the time it would take to double the population which would be 11600:

[tex]P=4100e^{kt}\\11600=4100e^{0.0085t}\\\frac{11600}{4100}= e^{0.0085t}\\e^{0.0085t}=2.83\\lne^{0.0085t}=ln2.83\\0.0085t=1.04\\t=\frac{1.04}{0.0085}\approx 122.35[/tex]

Therefore, it would take around 122 hours to double the population.

List all the composite factors of 96

Answers

Answer:

96 is a composite number. 96 = 1 x 96, 2 x 48, 3 x 32, 4 x 24, 6 x 16, or 8 x 12

Step-by-step explanation:

What is the extended ratio relating the side lengths of a 30-60-90 triangle?

A. x:x2–√:3x
B. x:x3–√:2x
C. x:x:x3–√
D. x:x:x2–√

Answers

Answer:

x:2x:√3x.

Step-by-step explanation:

I would write it as x:2x:√3x.

The hypotenuse is twice the length of the shorter leg and the longer leg is the square root of 3 times the shorter leg.

Answer:

The correct option is A) x : 2x : x√3

Step-by-step explanation:

Consider the provided information.

For a 30-60-90 triangle.

The side opposite to the 30° angle is x.

The side opposite the 60° angle is √3 x.

The side opposite the 90° angle is 2 x.

Side opposite to the 30° angle is the smallest side as 30° is the smallest angle among 30-60-90. Similarly the side opposite of 60° is the second largest side as 60° is the second largest angle and for the side opposite of 90° is the largest side as 90° is the largest angle.

Hence, the correct option is A) x : 2x : x√3

help plz I dont understand ​

Answers

Look at the equations and see if the statements are true.

Company 1 and 4 do not charge the same rate per mile, company one charges 0.5 per mile and company 4 charges 0.06 per mile.

Company 2 and 3 do not charge the same.

Company 2 has an x in the equation so is not just a flat fee.

Company 3 does not have an x in the equation, so only charges a flat fee.

The correct answer is the last one.

The answer is the last one

Find the standard deviation of the binomial distribution for which n = 1000 and p = 0.94

Answers

Final answer:

The standard deviation of the binomial distribution with n = 1000 and p = 0.94 is calculated using the formula σ = √(npq) and turns out to be approximately 7.51.

Explanation:

To calculate the standard deviation of a binomial distribution, we use the formula σ = √(npq), where n is the number of trials, p is the probability of success on a single trial, and q is the probability of failure (q=1-p).

Given the values of n = 1000 and p = 0.94, we can first calculate q:

q = 1 - p = 1 - 0.94 = 0.06.

Now, using the standard deviation formula:

σ = √(npq)

= √(1000 × 0.94 × 0.06).
We carry out the calculation:

σ = √(1000 × 0.94 × 0.06)

= √(56.4)

≈ 7.51.

Therefore, the standard deviation of the binomial distribution is approximately 7.51.

Each of these equations holds true for one value of x from the set (5. 12, 15, 18). Arrange the equations in increasing order of the x-values that
make them true
5x - 3x = 10
2(2x - 1) = 46
6x - 15 = 75
x+(x - 10) = 26

Answers

Answer:

5x - 3x = 10

2(2x - 1) = 46

6x - 15 = 75

x+(x - 10) = 26

Step-by-step explanation:

5x - 3x = 10

2x = 10  Divide by 2

x=5

2(2x - 1) = 46   Distribute the 2

4x - 2 = 46  Add 2

4x = 48  Subtract by 4

x = 12

6x - 15 = 75  Add 15

6x = 90  Divide by 6

x=15

x + x - 10 =26  Add the x's together and the 10

2x = 36  Divide by 2

x = 18

Increasing order of the x-values that make them true are,

5x - 3x = 102(2x - 1) = 466x - 15 = 75x + (x - 10) = 26

How to arrange the equations in increasing order of the x-values?

Solve each equations,

5x - 3x = 10

Simplifying the equation, we get

2x = 10

(Divide by 2)

x = 10/2

x = 5

2(2x - 1) = 46  

Divide both sides by 2

[tex]\frac{2(2 x-1)}{2}=\frac{46}{2}[/tex]

Simplify

[tex]$$2 x-1=23$$[/tex]

Add 1 to both sides

[tex]$$2 x-1+1=23+1$$[/tex]

Simplifying the equation, we get

[tex]$$2 x=24$$[/tex]

Divide both sides by 2

[tex]\frac{2 x}{2}=\frac{24}{2}[/tex]

Simplify

[tex]$$x=12$$[/tex]

6x - 15 = 75

Add 15 to both sides

[tex]$$6 x-15+15=75+15$$[/tex]

Simplifying the equation, we get

[tex]$$6x=90$$[/tex]

Divide both sides by 6

[tex]\frac{6 x}{6}=\frac{90}{6}[/tex]

Simplify

[tex]$$x=15$$[/tex]

x + x - 10 =26

Add similar elements:

x + x = 2x

[tex]$2 x-10=26$[/tex]

Add 10 to both sides

[tex]$2 x-10+10=26+10$[/tex]

Simplifying the equation, we get

[tex]$2 x=36$[/tex]

Divide both sides by 2

[tex]\frac{2 x}{2}=\frac{36}{2}[/tex]

Simplify

x = 18

Hence,

Increasing order of the x-values that make them true are,

5x - 3x = 102(2x - 1) = 466x - 15 = 75x + (x - 10) = 26

To learn more about Equations in increasing order refer to:

https://brainly.com/question/14662181

#SPJ2

Complete the table of values from left to right for the quadratic function
y = x + 4x +5.

х. 1 -2 -1 0 1
y.

OA) -7,0,5, 10
OB) 1, 2, 5, 10
OC) 9, 4, 5, 10
OD) -1,2,5, 10​

Answers

Answer:

The values of y are 1 , 2 , 5 , 10 ⇒ answer B

Step-by-step explanation:

* We will use the substitution method to solve the problem

- The quadratic equation is y = x² + 4x + 5

- The values of x are -2 , -1 , 0 , 1

- We will substitute the values of x in the equation to find the

  values of y

# At x = -2

∵ y = x² + 4x + 5

∵ x = -2

∴ y = (-2)² + 4(-2) + 5  = 4 - 8 + 5 = 1

∴ y = 1

# At x = -2

∵ y = x² + 4x + 5

∵ x = -1

∴ y = (-1)² + 4(-1) + 5  = 1 - 4 + 5 = 2

∴ y = 2

# At x = 0

∵ y = x² + 4x + 5

∵ x = 0

∴ y = (0)² + 4(0) + 5  = 0 + 0 + 5 = 5

∴ y = 5

# At x = 1

∵ y = x² + 4x + 5

∵ x = 1

∴ y = (1)² + 4(1) + 5  = 1 + 4 + 5 = 10

∴ y = 10

* The values of y are 1 , 2 , 5 , 10 ⇒ from left to right

Solve formula C=pied for pie

Answers

I assume you mean pi.

Answer:

yea its pi not pie, but he is right

Step-by-step explanation:

Which equation can be used to calculate the surface area of the triangular prism net show below?
10 cm
13 cm
12 cm
5 cm
5 cm
[Not drawn to scale]

Answers

Answer:

(10 x 13) + (10 x 12) + (12 x 5 / 2) + (12 x 5 / 2) + (10 x 5)

360

What is the least common multiple of 6 and 15? A) 3 B) 9 C) 21 D) 30

Answers

Answer:

D

Step-by-step explanation:

multiples of 6 : 6, 12, 18, 24, 30, 36, ....

multiples of 15 : 15, 30, 45, ......

From the lists the least common multiple is 30

[tex]6=2\cdot3\\15=3\cdot5\\\\\text{lcm}(6,15)=2\cdot3\cdot5=30[/tex]

Which of the following has six faces?

Answers

Answer:

Cube

Step-by-step explanation:

Im not sure what the option choices are but a cube has 6 faces. :)

Answer:

hexahedron

Step-by-step explanation:

A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acceleration due to gravity is –16 ft/s2, approximately how many seconds after the launch will the toy rocket reach the ground?

h(t) = at2 + vt + h0

Answers

Answer:

it will take appr 3.8 seconds to hit the ground

Step-by-step explanation:

h = -16t^2 + 60t + 3

at ground level , h = 0

16t^2 - 60t - 3 = 0

t = (60 ± √3792)/32

t = 3.799.. or t = a negative

Answer:

it is in fact 3.80

Step-by-step explanation:

I know the other person said that but I was just backing them up

Ella simplifies (3b+4r)+ (-2b-r) and says the result is b+ 5r. What error did Ella make?

Answers

Answer:

Elsa's error was adding (4r+r) instead of subtracting (4r-r)

Step-by-step explanation:

we have

[tex](3b+4r)+ (-2b-r)[/tex]

step 1

Eliminate the parenthesis

[tex]3b+4r-2b-r[/tex]

step 2

Group terms that contain the same variable

[tex]3b-2b+4r-r[/tex]

step 3

Combine like terms

[tex]b+3r[/tex]

therefore

Elsa's error was adding (4r+r) instead of subtracting (4r-r)

Answer:

Ella' s error was adding (4r+r) instead of subtracting (4r-r)

Step-by-step explanation:

For what value of C will y = sin1/2(x - C) be an even function?
a. 2pi
b. pi
c. pi/2

Answers

Answer:

c. pi/2

Step-by-step explanation:

The answer is the option c. pi/2.

You must know that y = sin(x) is an odd function and also that y = cos(x) is an even function.

Also, you should know that sin(x + pi/2) = cos(x).

You can show it using the definition of the functions sine and cosine in the unit circle or using the formula of the sine of a sum: sin(A + B) = sin(A)*cos(B) + cos(A)*sin(B).

When you substitute B with pi/2 you get sin (A + pi/2) = sin(A)*0 + cos(A)*1 = cos(A).

Then, given that cos(A) is even sin(A+pi/2) is even.

Answer:

option b

Step-by-step explanation:

We are given that [tex]y=sin \frac{1}{2}(x-C)[/tex] be an even function

We have to find the value of C for which given function is even function

We know that sin x is odd function and cos is even function

Odd function : when f(x)[tex]\neqf(-x) [/tex] then the function is called an odd function.

Even function : When f(x)=f(-x) then the function is called an even function.

Sin(-x)=-Sin x

Cos (-x)= Cos x

When we take C=[tex]2\pi[/tex]

Then , y=Sin[tex]\frac{x}{2}-\frac{2\pi}{2}[/tex]

y=[tex]sin(\frac{x}{2}-\pi)[/tex]

[tex]y=-sin\frac{x}{2}[/tex]  ( [tex]sin (x-\pi)=-sin x[/tex])

When x is replace by -x

Then, we get [tex]y=-sin(-\frac{x}{2})=sin\frac{x}{2}[/tex]

[tex]f(-x)\neq f( x)[/tex]

Hence, option a is false.

b.C=[tex]\pi[/tex]

[tex]y= sin (\frac{x}{2}-\frac{\pi}{2})[/tex]

[tex] y=-sin(\frac{\pi}{2}-\frac{x}{2})[/tex]

[tex]y=-cos \frac{x}{2}[/tex]

When x is replaced by -x then we get

[tex] y=-cos (-\frac{x}{2})=- cos \frac{x}{2}[/tex]

f(x)=f(-x) , Therefore, function is even,hence option b is true.

c.C=[tex]\frac{\pi}{2}[/tex]

[tex]y=sin (\frac{x}{2}-\frac{\pi}{4})[/tex]

[tex]Sin (A-B)=Sin A Cos B- Sin B Cos A[/tex]

[tex][y= sin \frac{x}{2} cos {\frac{\pi}{4}-cos\frac{x}{2} sin\frac{\pi}{4}[/tex]

[tex] sin\frac{\pi}{4}= cos \frac{\pi}{4}=\frac{1}{\sqrt2}[/tex]

[tex]y=\frac{1}{\sqrt2}(sin \frac{x}{2}- cos \frac{x}{2})[/tex]

When x is replaced by -x then we get

[tex]y=\frac{1}{\sqrt2}(-sin\frac{x}{2}-cos \frac{x}{2})[/tex]

[tex]f(x)\neq f(-x)[/tex]

Hence, function is odd .Therefore, option c is false.

Other Questions
Which step of the scientific method relies more heavily on newly collected data than on creativity and innovation? drawing a conclusiondesigning an experimentsolving a problemformulating a question What was the name of the chinese rebels who wanted to drive foreigners out of there country? Solve: x + 2.5 = 1.5 Waianapanapa Beach in Hawaii is a black-sand beach that was formed bywaves crashing against volcanic rock. The sand can be very hot on sunnydays. Which statement best explains why?OA. The black sand has no heat capacity.B. The black sand absorbs no radiation.OC. The black sand is immune to insolation.D. The black sand has a low albedo. Moscow, Russia holds a key position in the geopolitical landscape because it is at the crossroads of Asia and Europe. False True . Two algorithms takes n 2 days and 2 n seconds respectively, to solve an instance of size n. What is the size of the smallest instance on which the former algorithm outperforms the latter algorithm? Approximately how long does such an instance take to solve? "Looking back on the past with humility, I will not let the lesson learned from the tragedy of war fade with time and firmly maintain the antiwar pledge, dedicated to the construction of Japan as a peaceful nation." In this sentence, Prime Minister Koizumi's purpose is to A.rebuild Japan's superpower status. B.apologize to the families of the war dead. C.pay tribute to Japan's military heroes. D.communicate his commitment to continuing peace. What do electromagnetic waves carry? How are they produced Through which media can they move? Where do they transfer energy? What do they not transfer? What do mechanical waves carry? How are they produced? Through which media can they move? Where do they transfer energy? What do they not transfer? Tickets to the zoo cost four dollars for Children, five dollars for teenagers and six dollars for adults. In the high season, 1200 people came to the zoo every day. On a certain day, the total revenue at the zoo was $5300. For every three teenagers, eight children went to the zoo. How many teenagers went to the zoo. Help me out here please Select all that apply. Chanticleer _____.is a humble fellowhas a red comb and a yellow billhas azure legs and toes, white spurshas burnished golden plumageis a self-important rooster Michigan co. is currently paying a dividend of $2.00 per share. the dividends are expected to grow at 20% per year for the next four years and then grow 6% per year thereafter. calculate the expected dividend in year 5. Which of the Earth's layers is represented by the number two (2) on the image above? two more than the product of a number and 5 equals 9. use variable x for the unknown number Which describes a difference in the rule of Constantine and Diocletian? Constantine appeased foreign invaders by giving them land, while Diocletian went on the offensive to stop the attacks. Constantine divided the empire into western and eastern halves, while Diocletian further split the country into four regions. Constantine divided the empire and shared emperor duties, while Diocletian reunited the empire and served as sole ruler. Constantine reunited the empire and served as sole ruler, while Diocletian divided the empire and shared emperor duties. Find the value of the combination. 16 C 14 "As long as the reason of man continues fallible, and he is at liberty to exercise it, different opinions will be formed ... The diversity in the faculties of men, from which the rights of property originate, is not less an insuperable obstacle to a uniformity of interests. The protection of these faculties is the first object of government. From the protection of different and unequal faculties of acquiringproperty, the possession of different degrees and kinds of property immediately results, and from the influence of these on the sentiments and views of the respective proprietors, ensues a division of the society into different interests and parties." - Publius (James Madison), Federalist No. 10 Based on the text, which of the following statements would the author most likely agree with?A: political liberty is best protected by the fragmentation of political power in a large republic. B: political liberty is best protected by a small republic with a unicameral legislature.C: political liberty is least protected in large republic with lots of fractions. D: political liberty is best protected by a particularly democracy. Scenario:Susan wants to make 2 square flags to sell at a crafts fair. the fabric she wants to buy is 3 meters wide. she doesn't want any fabric left over. What's the least amount of fabric she should buy?Question:Which equation will help Susan solve her problem?Note: Let X represent the length of 1 side of the flag.Options: 1) 3x^2 -2x =02) 2x^2 =3x3) 2 * 2 = 2 * 24) 6 +2x = 2(4x) Question 2 of 102 PointsThe temperature is 45F. The temperature will decrease by 2F each hour. Leth be the number of hours.When will the temperature be below 32F?Write an inequality for this problem.OA. 45 + 2h 32B. 45 + 2h< 32O c. 45 - 2h a) You want to put down hard wood floors in your master bedroom. How much hard wood flooring would you need to buy?Amount of hardwood floor = Round your answer to 2 decimal places as needed.b) You also want to put a trim on the bottom of each wall, except in front of the french doors, sliding doors, or hallway. How much trim should you buy?Amount of trim to buy = Round your answer to 2 decimal places as needed.c) You want to paint your new bedroom. How much paintable space is there in the room? We will assume the following: - You are painting all walls and the inside of your french doors. - You want to paint the ceiling as well. - Your windows and sliding doors account for 73 square feet of surface that does not get painted (i.e. you will be painting above your sliding doors and above/below your window)Amount of paintable space = Round your answer to 2 decimal places as needed.d) How many gallons of paint would you need to buy? We will assume the following: - The builder already put primer on all the paintable surfaces. - One gallon of paint covers 350 square feet. - You want to put on two coats of paint on every paintable surface.Amount of paint needed = gallons. Round your answer to 2 decimal places as needed. Note: Paint is obviously not bought in hundredths of gallons, but we are still going to answer accordingly! Steam Workshop Downloader