Which table represents a linear function

Which Table Represents A Linear Function

Answers

Answer 1

It is the first one because the X side is going up at a steady rate and the Y is also going up at a steady rate

Answer 2

From the given table, table 1 represents the linear function.

Rate of change can be used to detect a linear function.

We can calculate rate of change to check whether the given coordinates represent linear relationship or not.

Formula used to calculate rate of change, m

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].......................................................1

For table 1:

Calculating value of m using eq 1 for points (2,7) and (4,9)

[tex]m=\dfrac{9-7}{4-2}\\\\m=1[/tex]

Similarly,

Calculating value of m using eq 1 for points (6,8) and (11,13)

m=1

Slope remains same. So, it shows linear relationship.

For table 2:

Calculating value of m using eq 1 for points (1,7) and (2,9)

[tex]m=\dfrac{9-7}{2-1}\\\\m=2[/tex]

Similarly,

Calculating value of m using eq 1 for points (3,12) and (4,15)

m=3

Value of slope changes from 2 to 3. Thus, it does not show linear relationship.

For table 3:

Calculating value of m using eq 1 for points (1,7) and (2,11)

[tex]m=\dfrac{11-7}{2-1}\\\\m=4[/tex]

Calculating value of m using eq 1 for points (3,12) and (4,13)

m=1

Value of slope changes from 4 to 1. Thus, it does not show linear relationship.

For table 4:

Calculating value of m using eq 1 for points (2,7) and (4,9)

[tex]m=\dfrac{9-7}{4-2}\\\\m=1[/tex]

Calculating value of m using eq 1 for points (6,12) and (8,15)

m=3/2

Value of slope changes from 1 to 3/2. Thus, it does not show linear relationship.

So, the Slope of table 1 is the same for all the coordinates. Thus, table 1 represents a linear function.

Learn more about rate of change, here:

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Related Questions

Solve the inequality

Please help and show me your working out thank you so much for your help:)

Answers

Answer:

-3≤x<4

Step-by-step explanation:

First you divide 3 on all sides of the equation.

So,

Answer:

x= (-3,-2,-1,0,1,2,3)

Step-by-step explanation:

You would divide 3 from both which you would get:

-3< x <4

x can represent any number above because the numbers I listed above is greater than -3 or less than 4.

3*-1=-3

3*0=0 ....... -3 <0 >4

3*1=3

Let f(x)=x^2+5x-36. Enter the x-intercepts of the quadratic function in the boxes. __and __

please show the work and answer

Answers

Answer:

x = - 9, x = 4

Step-by-step explanation:

The x- intercepts are the values of x where the graph of the function crosses the x- axis.

To obtain them set f(x) = 0, that is

x² + 5x - 36 = 0

To factor the quadratic.

Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (+ 5)

The factors are + 9 and - 4, since

9 × - 4 = - 36 and 9 - 4 = + 5, thus

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

Answer:

x=(4,0) and x=(9,0)

hope this helps

On the first five performance scores at work, your scores were: 84, 83, 92, 80, and 95. On the average, what was your score?

A)
62


B)
84.75


C)
86.8


D)
88.5

Answers

Its C, you have to add all the numbers up and divide by how many numbers there are

Help me please and explain please?

Answers

Answer:

Step-by-step explanation:

A.

First spin         Second Spin

____ Red   |---------Red

|                  |---------Green

|                  |--------Yellow

|

____Blue   |---------Red

                  |----------Green

                  |---------Yellow

B.    Probability of getting a red on the first spin = 1 /2.

Which term refers to the speed at which sound waves travel? A)volume B)amplitude C)frequency

Answers

Answer:

The answer would have to be VELOCITY which is distance / time.

That answer is NOT on your list.

Step-by-step explanation:

Answer:

frequency

Step-by-step explanation:

which equation shows the point slope form of the line that passes through (3,2) and has a slope of 1/3

Answers

Answer:

y=1/3x+1

Step-by-step explanation:

y=mx+b

y=1/3x+b

2=1/3(3)+b

2=1+b

1=b

y=1/3x+1

X^2-15x+56=(x-7)(x-____)
Fill in the blank please help me

Answers

Answer:

8

Step-by-step explanation:

The required value in the fill-in-the-blank is 8, which is completely factored into the product of two binomials: (x-7) and (x-8).

To fill in the blank in the expression x²-15x+56=(x-7)(x-____), we need to find the missing factor that, when multiplied by (x-7), gives us the original quadratic expression.

Factor the quadratic expression x²-15x+56 by finding two numbers that multiply to 56 and add up to -15, which are -7 and -8.

Therefore, we can rewrite the quadratic expression as:

x² - 15x + 56 = (x - 7)(x - 8)

This means that the quadratic expression can be completely factored into the product of two binomials: (x-7) and (x-8).

Thus, the required value in the fill-in-the-blank is 8.

Learn more about quadratic function here:

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What polynomial has roots of -6,1, and 4

Answers

For this case, we have: If we have a root polynomial -6, 1, and 4. Then, the previous step was:

[tex](x + 6) (x-1) (x-4) = 0[/tex]

To build the polynomial we must multiply:

[tex](x + 6) (x-1) (x-4) =\\(x ^ 2-x + 6x-6) (x-4) =\\x ^ 3-4x ^ 2-x ^ 2 + 4x + 6x ^ 2-24x-6x + 24 =[/tex]

Adding similar terms:

[tex]x ^ 3 + x ^ 2-26x + 24[/tex]

Answer:

[tex]x ^ 3 + x ^ 2-26x + 24[/tex]

Karyn will finish stacking cubes to create a solid rectangular prism.
The completed prism will be 3 centimeters high, 3 centimeters wide and 4 centimeters
long.
Enter the volume, in cubic centimeters, of the completed rectangular pris
124. ,

Answers

Answer:

36 cubic cm.

Step-by-step explanation:

To find volume, you multiply width by length by height, so 3x4x3, which is 36.

80+ POINTS AND BRAINLIEST, EXPLANATION NEEDED!


What is the surface area of the prism?

Answers

Answer:

[tex]A = 234mm^{2}[/tex]

Step-by-step explanation:

A rectangular prism (or orthohedron) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

The orthohedron is a straight prism and also a particular case of irregular quadrangular prism.

In a rectangular prism you can differentiate the following elements:

Bases: are two parallel and equal rectangles.

Faces: the four rectangles of the lateral faces and the two bases. Therefore, it has six faces.

Height : distance between the two bases of the prism. The height h coincides with any of the edges of the lateral faces.

Vertices: the eight points where three faces of the prism converge.

Edges: segments where two faces of the prism are found.

The surface area of ​​the rectangular prism (or orthohedron) is calculated by the following formula:

[tex]A=2(wh+lw+lh)[/tex] where w is width, l is length, and h is height.

Solving with l = 15mm, w = 3mm, and h = 4mm

[tex]A=2[(3mm)(4mm)+(15mm)(3mm)+(15mm)(4mm)][/tex]

[tex]A=2(12mm^{2}+45mm^{2} +60mm^{2}) \\A=2(117mm^{2})\\A= 234mm^{2}[/tex]

Answer:

S.A. = 234mm²

Step-by-step explanation:

Look at the net of the prism in the picture.

We have

two rectangles 4mm × 15mm

two rectangles 3mm × 15mm

two rectangles 3mm × 4mm

The formula of an area of a rectangle: A = lw

l - length

w - width

l × w

Calculate the areas:

A₁ = 4mm · 15mm = 60mm²

A₂ = 3mm · 15mm = 45mm²

A₃ = 3mm · 4mm = 12mm²

The surface area:

S.A. = 2A₁ + 2A₂ + 2A₃

Substitute:

S.A. = 2 · 60 + 2 · 45 + 2 · 12 = 120 + 90 + 24 = 234mm²

Probability Question​

Answers

To find the probability that A occurs given B occurs, multiply the Probability of A by the probability of B.

3/4 x 5/8 = 15/32

A circus has 10 performers, of which 4 are magicians.

What is the probability that a randomly selected performer will be a magician?

Simplify your answer and write it as a fraction or whole number.

P(magician) =

Answers

Answer:

40%

Step-by-step explanation:

you would take the number of magicians and divide that number by the total number of performers like this:

4 / 10 = 0.4

which equals 40%

so the probability of selecting a performer and them being a magician would be 40% exactly

i hope this helps :)

The probability of randomly selecting a magician from a group of 10 performers with 4 magicians is [tex]\frac{2}{5}[/tex].

The probability that a randomly selected performer from a circus with 10 performers and 4 magicians will be a magician is calculated by dividing the number of magicians by the total number of performers. Therefore, the probability P(magician) is:

P(magician) = number of magicians / total number of performers
P(magician) = [tex]\frac{4}{10}[/tex]
P(magician) = [tex]\frac{2}{5}[/tex]

How do I find the value of x

Answers

ANSWER

4 units.

EXPLANATION

Triangle RQT is a right isosceles triangle.

This implies that:

RQ=RT=x.

Triangle RTS is also a right angle triangle with hypotenuse, RT=x.

Also, the side with length , 2√3 units is opposite to the 60° angle.

We use the sine ratio, to obtain:

[tex] \sin(60 \degree) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(60 \degree) = \frac{2 \sqrt{3} }{x} [/tex]

Solve for x to obtain;

[tex]x= \frac{2 \sqrt{3} }{ \sin(60 \degree)} [/tex]

This gives us:

[tex]x= \frac{2 \sqrt{3} }{ \frac{ \sqrt{3} }{2} } = 4[/tex]

Therefore the value of x is 4 units.

simplify the expression. eliminate negative exponents (x^2)(x^7)(x^-3) =

Answers

x⁶; multiplying monomials means adding their exponents in this case.

Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set on a number line.

4m +16.5 < 33.5

Answers

Answer:

solution  (-∞,4.25)

Step-by-step explanation:

Given inequality is [tex]4m +16.5 < 33.5[/tex].

Now we need to solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set on a number line.

[tex]4m +16.5 < 33.5[/tex]

[tex]4m < 33.5 - 16.5[/tex]

[tex]4m < 17[/tex]

[tex]m < \frac{17}{4}[/tex]

[tex]m < 4.25[/tex]

Hence solution set using interval notation is given by (-∞,4.25).

Graph will be an arrow pointing to the left of 4.25

Answer:

m < 4.25; (-∞, 4.25).

Step-by-step explanation:

Part 1. Solve the inequality

4m + 16.5 < 33.5

         4m  < 17         Subtracted 16.5 from each side

            m < 4.25     Divided each side by 4

Part 2. Interval notation

The solution set consists of all numbers less than 4.25. We use parentheses to denote numbers that are not included in the interval.

4.25 is not included, because m < 4.25.

-∞ is not included, because we can never reach it.

In interval notation, the solution set is (-∞, 4.25).

Step 3. Number line

The solution set consists of all numbers less than 4.25. We use an open circle to show that  4.25 is not included in the set.

WORTH 30 : can you please help me with my homework questions 14-18

Answers

If this helps you please make it brainliest.

14. She has 12 possible choices.

15. $96

16. I don’t know about this one, sorry.

I7. 4/7

18. 1/3

Hope this helps!

Solve for f.

f+0.2=−3

Answers

Subtract 0.2 by both sides and the your answer is f = -3.2

Answer:

the answer is f=-3.2

Step-by-step explanation:

because with solving linear equations you have to do the opposite of what your doing do like  f+0.2=−3 since your adding you want to subtract instead you want to subtract on both sides so we know 0.2-0.2= 0 so 0.2- -3= -3.2 so that gives us our answer -3.2

The manager of a hair salon is analyzing the number of customers who visit the salon each day. If she wants one number to summarize all the values of the data set, what type of measure should she use?

A. a measure of center, such as the median
B. a measure of variation, such as the mean absolute deviation
C. a measure of variation, such as the mode
D. a measure of center, such as the interquartile range

Answers

Answer:

the answer would be A.  a measure of center, such as the median

Step-by-step explanation:

A measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.

Some examples of a measure of center are median and mode. Some examples of a measure of variation are interquartile range and mean absolute deviation.

The salon manager wants one number to summarize all the values of the data set.

Please help! I’m super confused because I got a negative number and I think I’m wrong?

Answers

Answer:

5 1/3

Step-by-step explanation:

16 - (2z-4)/3

Let z = 18

16 - (2*18-4)/3

Multiply inside the parentheses first

16 - (36-4)/3

Subtract inside the parentheses

16 - (32/3)

Divide inside the parentheses and change to a mixed number

16 - 10 2/3

Borrow 1 from 16 in the form of 3/3

15 3/3 - 10 2/3

5 1/3

Answer:

Your answer would be 5 1/3.

Step-by-step explanation:

16- (2(18)-4)/3

16- (36-4)/3

16/1 - 32-3

48/3 - 32/3 = 16/3

16/3 converted to a mix number is 5 1/3

Hope I helped :)

Can i get help with this question?

Answers

Answer:

x=8

Step-by-step explanation:

The two angles are complementary angles, so they add together to make 90 degrees

x+50 + 4x = 90

Combine like terms

5x+50 = 90

Subtract 50 from each side

5x+50-50= 90-50

5x = 40

Divide by 5

5x/ 5 = 40/5

x = 8

PLS HELP ASAP!

which two data sets show the most overlap?​

Answers

The answer is D because all of the dots are in the same place except for 2.

Answer:

Step-by-step explanation:

d

Part C I Already Posted Part B And Part A Please Answer Part C And A Thanks

Answers

The area of the paper is Length x width = 8 x 11 = 88 square inches.

Each game piece was 1 inch in diameter.,so you could cut it out of a 1 inch square.

So each square inch of the paper could be a game piece.

You could make 88 game pieces.

You can make 88 pieces

Help! Question with simplifying square root

Answers

Answer:

The square root of 25 is 5 because whenever it's a number multiplied by the same number like 4×4, 5×5, 8×8 and so on, you are squaring that number since you are multiplying the same number twice. Hope this helps and I'm sorry if my explanation is not that clear:)

What is the inverse of the function below?

Answers

ANSWER

[tex]{f}^{ - 1}(x) = ln(x)[/tex]

EXPLANATION

The given function is

[tex]f(x) = {e}^{x} [/tex]

Let

[tex]y={e}^{x} [/tex]

We interchange x and y.

[tex]x={e}^{y} [/tex]

Solve for y.

[tex]y = ln(x) [/tex]

This implies that,

[tex] {f}^{ - 1}(x) = ln(x) [/tex]

The correct answer is C

Answer:

[tex]f^{-1}(x)=ln(x)[/tex]

Step-by-step explanation:

Given function is [tex]f\left(x\right)=e^x[/tex].

Now we need to find it's inverse so follow these steps:

Step 1: replace f(x) with y.

[tex]y=e^x[/tex]

Step 2: Switch x and y.

[tex]x=e^y[/tex]

Step 3: Solve for y.

[tex]x=e^y[/tex]

[tex]ln(x)=ln(e^y)[/tex]

[tex]ln(x)=y[/tex]

[tex]y=ln(x)[/tex]

Step 4: Replace y with [tex]f^{-1}(x)[/tex].

[tex]f^{-1}(x)=ln(x)[/tex]

Hence final answer is [tex]f^{-1}(x)=ln(x)[/tex].


A triangle has side lengths of 15, 20, and 25. What type of triangle is it?
a.) right
b.) equiangular
c.) acute
d.) obtuse

Answers

Acute triangle is the answer

Answer:

The answer is a. right.

Step-by-step explanation:

GIVEN:

hypo=25

opposite and adjacent=15 and 20.

FORMULA:

hypotenuse^2 =opposite side^2 + adjacent side^2

25^2=15^2+20^2

625=225+400

400+225=625

(Got this from yahoo answers, everybody said right.)

A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 1 the second time.

Answers

Answer:

5/12

Step-by-step explanation:

The probability of throwing an even number (2 4 6) out of six numbers on the die (1 2 3 4 5 6) is

3/6

The probability of throwing a number greater than 1 is 5 out of 6.

The probability of both events occurring is 1/2 * 5/6 = 5/12 or just under 1/2

complete the square in vertex form y=x^2+18x-2​

Answers

Answer:

y = (x + 9)² - 83

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = x² + 18x - 2

Obtain vertex form by using the method of completing the square

add/subtract (half the coefficient of the x- term )²

y = x² + 2(9)x + 81 - 81 - 2

  = (x + 9)² - 83

The ANSWER IS Y=(x+9)^2-83

Melissa and Rachel like to make funny hats. Melissa has made 20 zebra printed hats and Rachel has made H striped hat. Together they have made a total of 42 hats

Answers

20+h=42 is the answer

Answer: Melissa made 22 striped hats

(Hope this helps) :D

Step-by-step explanation: You get this answer by subtracting 20 from 42 to get 22

What percent of 75 is 33

Answers

Answer:

33 is 44% of 75

Step-by-step explanation:

First step:

Calculate, what fraction of 75 is 33:

[tex]\dfrac{33}{75}=\dfrac{33:3}{75:3}=\dfrac{11}{25}[/tex]

Second step:

Convert to the percent:

[tex]\dfrac{11}{25}\cdot100\%=(11)(4\%)=44\%[/tex]

33 is 44% of 75.

To determine what percent of 75 is 33, you can use the formula: (part/total) × 100. In this case, the part is 33 and the total is 75.

First, divide 33 by 75: 33 / 75 = 0.44.Next, convert the decimal to a percent by multiplying by 100: 0.44 × 100 = 44%.

Thus, 44% of 75 is 33.

13. Write a function with a zero of 1/2. Explain how you know.

Answers

Answer:

The function is  [tex]f(x)=2x-1[/tex]

Step-by-step explanation:

If a function has a zero of [tex]\frac{1}{2}[/tex].

The we can write  [tex]x=\frac{1}{2}[/tex].

We need to work backwards to obtain the function:

We multiply through by 2 to get:

[tex]2x=1[/tex].

This implies that:

[tex]2x-1=0[/tex]

Hence a function with such zero is  [tex]f(x)=2x-1[/tex]

Answer:

The function is [tex]f(x)=4x-2[/tex]

Step-by-step explanation:

That a function has a zero at a certain number x means that [tex]f(x)=0[/tex]

Let's see an example,

If we have [tex]f(x)=x+2[/tex] (this is what we call function)

and we choose any value for the x,

x = 3

Now we replace it in our function

[tex]f(3)=3+2[/tex]

[tex]f(3)=5[/tex] (this is the image of 3)

Now if we say that x = -2, and replace it in our function

[tex]f(-2)=(-2)+2[/tex]

[tex]f(-2)=0[/tex] , this means that our function has a zero at x = -2

We can find the zeros of our function equaling it to zero and clearing the x, let's see

[tex]x+2=0[/tex]

[tex]x=-2[/tex]  this means that our function has a zero at x = -2

To find a function that has a zero at  [tex] \frac{1}{2}[/tex] , let's think that the result must be [tex]f(x)=0[/tex]

If we have 4 and multiply it by 1/2.

[tex]4)(\frac{1}{2})=2[/tex], now we subtract 2 from this result

[tex]-2 = 0[/tex] , the complete process would be

[tex]4)(\frac{1}{2})-2=0[/tex], we said that [tex] \frac{1}{2}[/tex], then

[tex]4x-2[/tex], now we write it as a function

[tex]f(x)=4(x)-2[/tex]  we know that by replacing the x by 1/2 the result will be zero, which means that [tex] \frac{1}{2}[/tex] is zero of this function

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