Mathematics High School

Which of the following is a solution to the inequality y < –2x + 3?

A. (1,1)
B. (3,0)
C. (-3,10)
D. (0,0)


Please select the best answer from the choices provided

Answers

Answer 1

y < -2x +3

A. (1, 1) → x = 1, y = 1

substitute:

1 < -2(1) + 3

1 < 1 FALSE

B. (3, 0) → x = 3, y = 0

substitute

0 < -2(3) +3

0 < -3 FALSE

C. (-3, 10) → x = -3, y = 10

substitute

10 < -2(-3) +3

10 < 9 FALSE

D. (0, 0) → x = 0, y = 0

substitute

0 < -2(0) + 3

0 < 3 CORRECT

Answer: D. (0, 0)

Related Questions

(05.03)
Identify the initial value and rate of change for the graph shown
Initial value: 1, rate of change: 2
Initial value: 2, rate of change: 1 over 2.
Initial value: 2, rate of change: 1
Initial value: 1 over 2., rate of change: 2

Answers

(0,2)(1,3)
slope = (3 - 2) / (1 - 0) = 1 <== ur slope (or rate of change)

y = mx + b
slope(m) = 1
(0,2)...x = 0 and y = 2
sub and find b, ur y int...ur initial value
2 = 1(0) + b
2 = b <== ur y int...ur initial value <==

Answer: Initial value: 2, rate of change: 1

Step-by-step explanation:

From the graph we can see the line is intersecting y axis at (0,2).

Therefore, y intercept of the graph = 2

Therefore, the initial value of the graph = 2

Also there as two point from which line is passing (0,2) and (1,3)

The rate of change of the line is given by :-

[tex]R=\frac{y_2-y_1}{x_2-x_1}=\frac{3-2}{1-0}=1[/tex]

Hence, for the given graph, the Initial value is 2 and the rate of change is 1 .

A basketball court is in the shape of a rectangle. It has a length of (x − 7) meters and a width of (x + 3) meters. The expression below represents the area of the court in square meters:

(x − 7)(x + 3)

Which of the following simplified expressions represents the area of the basketball court in square meters?

− 6x + 3
x2 − 21
x2 − 4x − 21
x2 − 7x + 3

Answers

(x - 7)(x + 3) = x^2 + 3x - 7x - 21 = x^2 - 4x - 21 <=

The answer is x² - 4x - 21 or C

The area (A) of the rectangle is:

A = l * w                     (l - length, w - width)

We have:

l = x - 7

w = x + 3

Therefore:

A = (x - 7)(x + 3)

Now, multiply each factor with another:

A = (x - 7)(x + 3) = x * x + x * 3 - 7 * x - 7 * 3 = x² + 3x - 7x - 21 = x² - 4x - 21

Jackie walks into a convenience store and recognizes the number of lottery tickets she can purchase varies inversely with the price of each ticket. If Jackie buys $5 tickets, she can purchase exactly 6 tickets. If she buys $3 tickets, what is the maximum number of tickets she can purchase?

Answers

Let the price of the tickets be 'x' and the number of tickets bought is 'y'

When the y inversely proportioned to x, the equation is

y = k/x where k is a constant

We work out the value of k by using the information y = 6 and x = 5

6 = k/5
k = 30

Hence, the maximum number of tickets when the price is $3 is

y = 30/3
y = 10 tickets

Answer:

Step-by-step explanation:

10

Which of the following is an identity?

A. csc^2 x + cot^2 x = 1
B. (cscx + cotx)^2 = 1
C. sec^2 x sec^2 x + 1 = tan^2 x csc^2 x
D. sin^2 x - cos^2 x = 1

Answers

I am not sure at all but I think the answer is C.
there is an identity  csc^2 x = 1 + cot^2x  so it cant be A

Nor D  because sin^2 x + cos^2 x = 1

I think Its C 

converting to sin's and cos's 

1 / cos^4 x  + 1    =   sin^2 x / cos^2x  *   1 / sin^2 x   = 1 / cos^2 x

I dont think any are identities
You sure you have  the question correct?


A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent have both dogs and cats. Let event C be choosing a client who has cats and let event D be choosing a client who has dogs. Which statements are true? Check all that apply.
1.P(C | D) = 0.78
2.P(D | C) = 0.44
3.P(C ∩ D) = 0.11
4.P(C ∩ D) = P(D ∩ C)
5.P(C | D) = P(D | C)

Answers

check the venn diagram of the problem.

let the total number of the clients be 100.

since there are 11 clients with both cats and dogs, 

there are 32-11=21 clients with dogs but not cats

and 25-11=14 clients with cat but not dogs.

The number of clients with neither dogs nor cats is given by:

100-(21+11+14)=100-46=54


so we have the following:

P(C)=25/100=0.25
P(D)=32/100=0.32
P(C∩D)=P(D∩C)=11/100=0.11

we also have the formula P(A|B)=P(A∩B)/P(B), the formula of conditional probability

now we check each choice:

1. P(C|D)=P(C∩D)/P(D)=0.11/0.32=0.34
2. P(D|C)=P(D∩C)/P(C)=0.11/0.25=0.44
3  and  4 are already checked, and they are true
5. by 1 and 2, not true



Answer: 2, 3, 4 are True

The statements which are true based on the given sets of data are:

2.P(D | C) = 0.443.P(C ∩ D) = 0.114.P(C ∩ D) = P(D ∩ C)

What is a Set?

This refers to the grouping of data between different types of data within a range.

Based on the given information, we can see that

32% have dogs

25% have cats

11% has both cats and dogs

We can see that using a Venn diagram, we can make the graphical representation where there would be the intersection and Union of the data.

With this, we can see that options B, C and D are true because they satisfy the choosing events about the given set of data.


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Jill has been watching the squirrels that live in her neighborhood. The number of squirrels changes each week.

n         f(n)

1            8
2             12
3              18
4              27


Which function best shows the relationship between n and f(n)?

A f(n) = 12(1.5)n
B f(n) = 12(1.5)n−1
C f(n) = 8(1.5)n
D f(n) = 8(1.5)n−1

Answers

It is option D  f(n) = 8(1.5)n-1

Hope This Helps You ^-^

Two minor league baseball players got a total of 292 292 hits. washington had 18 18 more hits than sanchez. find the number of hits for each player

Answers

Let number of hits by Sanchez be x.

Number of hits by Washington = 18 + x

Total number of hits = 292

x + 18 + x = 292

2x + 18 = 292

2x = 274

x = 137

Hence, Sanchez has 137 hits and Washington has 155 hits.

There are 16 boys in an English class of 28 students. The ratio of boys to the total number of students in this class is typical of the whole school. There are 476 students in the school. About how many are boys?

Answers

In order to solve this problem, it is best to set up a proportion.  The proportion you would use is 16/28=x/476.  Cross multiply and then divide both sides of the equation by 28 to get x.  So, there are about 272 boys in the total of 476 students in the school.

The number of the boys in the school is 272.

What is multiplication?

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given, the ratio of boys to the total number of students in this class is typical of the whole school.

That means,

16 : 28 = x : 476

where x is the number of boys in the school.

Simplifying,

16/28 = x/476

Using cross multiplication,

x = 16 x 476/ 28

x = 272

Therefore, the number of the boys in the school is 272.

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When 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4. find the number. j. grossman?

Answers

Answer:

its 3

Step-by-step explanation:

The required value of the unknown number x would be 3.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given that " 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4".

Let the unknown number be x.

7x - 8 = 3x + 4

To solve the equation;

7x - 8 = 3x + 4

Collect the like terms;

7x - 3x = 8 + 4

4x = 12

Divide by 4 on both sides;

x = 12/4

x = 3

Therefore, the required value of the unknown number x would be 3.

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In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ?x - 49

Answers

We are asked to find unknown or the missing number to complete the polynomial given in the problem which is x² + ?x -49. First, let us equate the number to be equal to zero such as it would become x² + ?x - 49 = 0. Next, we need to find the factors such that it would produce a difference of squares and these two factors are a = +7 and b = -7. Hence, the complete solution is shown below:
(x + 7) (x-7) = 0
perform distribution and multiplication of terms such as shown below:
x² + 7x - 7x - 49 = 0
Combine the same term such as we can either add or subtract +7x to -7x and the result will be equal to 0x.
 x² + 0x - 49 = 0

Therefore, the missing number is 0. The answer is 0 which will result to x² +0x - 49.

Answer:

0

Step-by-step explanation:

I'm in desperate need of help please !!

Answers

8a)

[tex]\bf \textit{Amount of Population Growth}\\\\ A=Ie^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ I=\textit{initial amount}\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\\ \end{cases}\qquad \begin{cases} year\ 0\\ -----\\ t=0\\ A=42679 \end{cases} \\\\\\ 42679=Ie^{k0}\implies 42679=I\cdot 1\implies 42679=I\qquad thus \\\\\\ \boxed{A=42679e^{rt}}[/tex]

now, let's fast-forward 8 years later, t = 8, the population has dropped  to 33247, so A = 33247, what's "r", or in your paper, it uses "k", anyhow, is just the rate.

[tex]\bf A=42679e^{rt}\qquad \begin{cases} t=8\\ A=33247 \end{cases}\implies 33247=42679e^{r8} \\\\\\ \cfrac{33247}{42679}=e^{8r}\impliedby \textit{let's now take \underline{ln} to both sides} \\\\\\ ln\left( \frac{33247}{42679} \right)=ln(e^{8r})\implies ln\left( \frac{33247}{42679} \right)=8r\implies \cfrac{ln\left( \frac{33247}{42679} \right)}{8}=r \\\\\\ -0.0312178\approx r\qquad now\ 100\cdot r\approx -3.1\%[/tex]

is a negative rate, because, the population is decreasing.

-------------------------------------------------------------------

8)

how many days does it take for 60% of the population to know about the crime?  well, what's 60% of 1,150,000? well (60/100) * 1,150,000, or 69000.

[tex]\bf P(t)=1150000e^{-0.03t}\implies 690000=1150000e^{-0.03t} \\\\\\ \cfrac{690000}{1150000}=e^{-0.03t}\implies \cfrac{3}{5}=e^{-0.03t} \\\\\\ \textit{again, we take \underline{ln} to both sides} \\\\\\ ln\left( \frac{3}{5} \right)=ln(e^{-0.03t})\implies ln\left( \frac{3}{5} \right)=-0.03t \\\\\\ \cfrac{ln\left( \frac{3}{5} \right)}{-0.03}=t\implies 17.0275\approx t[/tex]

so.. roughly about 17 days.

Which of the following points is a solution to the system of linear inequalities?

{y ≤ 2x+1 y>1/2x-4

Answer choices:


A.(2, 6)
B.(2, –3)
C.(2, 3)
D.(2, –6)

Answers

(2,3) is the only point that is a solution

You deposit $1400 into a savings account that earns simple annual interest. After 12 years, the balance in the account is $2408. What is the annual interest rate?

Answers

The formula is
A=p (1+rt)
A future value 2408
P present value 1400
R interest rate?
T time 12 years
Solve the formula for r
R= ((A/p)-1)÷t
R=((2,408÷1,400)−1)÷12
R=0.06×100
R=6%

When a meteorologist says that there is a 30% chance of showers, what type of probability is the person using?

Answers

Empirical and Subjective probability

what is the length of a circle that has a central angle of 98 degrees and 6 cm?

Answers

I think the length referred to here is the arc length. For convenience, let us just proceed to the derived formulas for circular geometry. The formula for arc length, S, is

S = (n/360)(Perimeter)

The variable n is the measure of the central angle that intercepts the arc. In this case, n = 98°. The perimeter of the circle is equal to 2πr. Substituting the values,

S = (98°/360°)(2×π× 6 cm)
S = 10.26 cm

There is also a formula that is easier to remember, but you have to convert degrees to radians. The conversion is 180° = π radians. The formula is

S = rθ
S = (6 cm)(98°)(π/180°)
S = 10.26 cm

Thus, the arc length is 10.26 cm.

The area of a square garden is 200 m². How long is the diagonal?

100 m

10 sqrt of 2

200 m

20 m

Answers

Answer: 20 m 
Since we know that a square has four equal sides, we can find out the sides by taking the square root of the given area, which is 200 m^2.
Now we know that the sides of the square are 10 radical 2. However, the question is asking for the length of the diagonal. We can find out the diagonal of the square by slicing up the square into two triangles by drawing a diagonal from one corner to the other. We know that a square has 4 right angles. And we also know that the triangles are going to be a 45-45-90 degree triangle. Since we already know the side which is 10 radical 2, all we have to do is multiply radical 2 to it which is equal to 10 x 2= 20m 
Final answer:

To find the length of the diagonal of a square garden, you can use the Pythagorean theorem. In this case, the length of the diagonal is approximately 14.14 meters.

Explanation:

To find the length of the diagonal of a square garden, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the two shorter sides of the right triangle are the sides of the square garden. Let's call each side x. The hypotenuse (the diagonal) will be the side we are trying to find.

Using the Pythagorean theorem, we have: x^2 + x^2 = diagonal^2. Since the area of the square garden is 200 m², we can set up the equation: x^2 + x^2 = 200. Combining like terms, we get: 2x^2 = 200. Dividing both sides by 2, we have x^2 = 100. Taking the square root of both sides, we find that x = 10.

Therefore, each side of the square garden is 10 meters. And using the Pythagorean theorem one more time, we can find the length of the diagonal: diagonal^2 = 10^2 + 10^2. Simplifying, we get diagonal^2 = 200. Taking the square root of both sides, we find that the length of the diagonal is approximately 14.14 meters.

In triangle PQR, C is the centroid.

Answers

The centroid of a triangle divides the median PY, XR and QZ into the ratio 2:1

Question (a):

PC:CY = 2:1
If CY=10, then PC=20 and PY=20+10=30

Question (b):

QC:CZ= 2:1
If QC=10, then CZ=5 and ZQ=10+5=15

Question (c):

PX : XQ = 1 : 1
if PX = 20, then PQ = 40

ROUND 977.259856871 TO 3 DECIMAL PLACES HELP!

Answers

3 decimal places would be where the 9 is, since the next number is 8 , the 9 would become a 0 and the number before it (5) would become a 6

 so it would be 977.260

Rounded to 3 decimal places is 977.260. You get this by going to the third place out and looking to the right of it. if it's 5 or more round up. If your number is a nine then it becomes a 10 and youd carry it over

Find the value of x for which M//N

A.
38
B.
62
C.
102
D.
150

Answers

I think the answer is B= 62

Sketch the right triangle and find the length of the side not given. If necessary, approximate the length to the nearest thousandth. leg = 9, leg = 12

Answers

Pythagoras:

sqrt( 9^2+12^2) = sqrt( 81+144) = sqrt(225) = 15! Voila :)

How do you use the additive inverse to evaluate an expression that uses subtraction

Answers

Answer:

Additive inverse is the negative of the number, i.e. what you add to the number to get zero.

So the additive inverse of number b is - b

Additive inverse of 4 is - 4.

Then, you can verify the subtraction is the same that add the additive inverse.

For example subtracting 4 from 10 (10 - 4) is the same that adding -4:

10 - 4 = 10 + (-4).

Then given any expression if you have to subtract other expressión you just add the addive inverse of the second expression.

For example: given A(x) = x^2 + 3x + 5 and B(x) = 2x + 4

Find A(x) - B(x) = A(x) + [-B(x)]

=> x^2 + 3x + 5 + (-2x -4) = x^2 + 3x - 2x + 5 - 4 = x^2 + x + 1

Step-by-step explanation:

hope this helped!

Find the slope of the line on the graph. Write the answer as a fraction or a whole number, not a mixed number or decimal.

Answers

(-3,0) and (0, 3)
slope = 3/3 = 1

answer
slope = 1

(03.06 MC) Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4.

Answers

This is obviously a multiple choice question fro a test but you did not supply any of the choices to pick from. However, remember to use the point slope formula of y-y1=m(x-x1) where the point they gave you is (x1,y1) and the slope is m. So now you can just plug the -3, -1, and 4 into your formula and you have the equation:)

Answer:

The equation of the line is

Y= 4X + 11

Step-by-step explanation:

The equation of the line is equall to

(Y- Y1)/(X-X1) = slope

X1 = -3

Y1= -1

Equation is

(Y-(-1))/(X-(-3))=4

(Y+1)/(X+3) = 4

Y+ 1 = 4X + 12

Y= 4X + 11

What is the answer Barbara also works part-time at themepark the radio of the number of hours Barbara works at the park to the money she earns in dollars is 1:9 create a table to show the money earned by Barbara for 5,6,8 hours of work at a theme park

Answers

1:9.....this is basically saying that for every 1 hr she works, she makes $ 9

5 hrs ..(5 * 9) = 45..... 5:45 or 5 to 45 or 5/45
6 hrs...(6 * 9) = 54......6:54 or 6 to 54 or 6/54
8 hrs...(8 * 9) = 72......8:72 or 8 to 72 or 8/72

the lines shown below are parallel. if the green line has a slope of -1/11, what is the slope of the red line?
a)-1/11
b)1/11
c)-11
d)11

Answers

Parallel lines must have the same slope and a different y-intercept.  So if one line has a slope of -1/11, any possible parallel line will also have a slope of -1/11.

Answer:

-1/11

Step-by-step explanation:

I just did it

A customer calls and says that they are upset because they just received their bill and it is for two months service plus a $20 late fee. They have never had a late payment before. They explain that they moved last month and never received their bill. What would you tell them?

Answers

I would tell them that I apologize for the misunderstanding for the bill not being delivered to the proper person but it was out of my hands

Answer with explanation:

The Customer , is irked due to the reason that,he or She hasn't got the last month bill and now they have to pay the bill for two months service plus $ 20 late fee.

Also, the customer is Saying that they moved from that place last month where they were Residing.

I will start Querying with the customer  in the following way

Sir, or Madam

1. Have you checked , or asked your Neighbor or Landlord, after leaving that place ,whether they have got this kind of bill ?

2. Secondly , we have your email-ID as well as Mobile number.We message every month about your bill,through email as well as Messaging tool of your mobile.Haven't you Checked your Mail as well as  Messaging.

it Shows that Customer is Lying.

So, Sir or Madam

  Please , pay the Bill along with late fee.

Kate, who is 16, is four times as old as her brother. how old will kate be when she is half as old as her brother?

Answers

Kate and her brother are 12 years apart.  When Kate is 24, her brother will be half her age, 12.

In a genetics experiment on? peas, one sample of offspring contained 402402 green peas and 3838 yellow peas. based on those? results, estimate the probability of getting an offspring pea that is green. is the result reasonably close to the value of 3 divided by 43/4 that was? expected?

Answers

Final answer:

The empirical probability of getting a green pea is approximately 91.37%, which is not reasonably close to the expected value of 75% based on Mendel's laws.

Explanation:

In this observed pea experiment, there were 402 green peas and 38 yellow peas. To calculate the probability of getting a green pea, we divide the number of green peas by the total number of peas. Therefore, the probability is 402/(402+38) ≈ 0.9137 or 91.37%, which is the empirical probability of getting a green pea.

The expected ratio, which is based on Mendel's genetic laws, is 3/4 for the dominant trait (green peas in this case) but after doing the math, it represents 0.75 or 75%, which is lower than our empirical probability. Therefore, the result is not reasonably close to the value expected (3/4).

It's worth mentioning that this discrepancy can occur due to many reasons including statistical variation, "especially when sample size is not large enough".

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You flip a coin eight times. find the number of possible outcomes in the sample space.

Answers

2( coin faces) 8( number of times)

Chase answers 3/4 of his math questions correctly. There were 40 questions on the test.

a. How many did he get right?

b. How many did he miss?

Answers

multiply 40 by 3/4

40 x 3/4 = 40*3 = 120, 120/4 = 30

 he answered 30 correctly

40-30 = 10, he missed 10

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