Which of the following points lies in the solution set of the inequality y > 3x +10?
(1) (1,10)
(3) (4, 20)
(2) (-1,3)
(4) (2,16)

Answers

Answer 1

Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct

In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if y is greater than the result.

For the coordinate point (1, 10)

y > 3(1) +10

y > 13

Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.

For the coordinate point (4, 20)

y > 3(4) +10

y > 22

Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.

For the coordinate point (-1, 3)

y > 3(-1) +10

y > -7

Since 3 is greater than -3, hence (-1, 3) lie in the solution set.

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A high school track​ team's long jump record is 24 ft 2 1/4 in This​ year, Hal​'s best long jump is 23 ft 9 1/2 in If long jumps are measured to the nearest quarter​ inch, how much farther must hal jump to break the​ record?

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24 ft 2 1/4 inches - 23 ft 9 1/2 inches = 4 3/4 inches.

4 3/4 inches would tie it, so now add 1/4 more inches:

4 3/4 + 1/4 = 5 inches.

He needs to jump 5 inches more.

Through the successful study of personal finance, an individual will be better prepared to calculate financial risks able to spend available assets. faced with long-term challenges. more likely to avoid high opportunity costs.

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Answer:

A. better prepared to calculate financial risks

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Through the successful study of personal finance, an individual will be better prepared to calculate financial risks.

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Write all the factors of 9 . Use commas to separate them.rtth

Answers

Answer:

1, 3, 9

Step-by-step explanation:

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Answer:

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I NEED HELP ASAP
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover. 5 liters of paint can cover a wall with an area of 75 square feet.

a) What is the constant of proportionality? Tell how you found it.

b) Write an equation relating V and A.

c) How much paint would be needed to cover an area of 180 square feet? Show your work.

Whoever answers me correctly first will get extra points after this!

Answers

Hey! I believe this is the answer you're looking for:

https://brainly.com/question/16663256

Step-by-step explanation:

The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.

This is written as:

\begin{gathered}V \propto A\\V=kA,$ where k is the constant of proportionality\end{gathered}

(a)5 liters of paint can cover a wall with an area of 75 square feet.

V=5 liters, A=75 square feet.

Substitution into V=kA

5=75k

k=5/75

\text{Constant of proportionality, k}=\dfrac{1}{15}Constant of proportionality, k=151

(b)Substitution of k=\dfrac{1}{15}k=151 into V=kA

The equation relating V and A is:

V=\frac{1}{15}AV=151A

(c)If A=180 Square feet

Volume of paint needed,

\begin{gathered}V=\frac{1}{15} X 180\\=12$ liters\end{gathered}

Lillian invests money in an account paying a simple interest of 6.6% per year. If she invests $160 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?

Answers

Answer:

Lillian will have $170.56 in one year

Step-by-step explanation:

First we have to figure out what is 6.6% of 160.

160 * 6.6% = 10.56

Now we just add 160 with the 6.6% to figure out the answer.

160 + 10.56 = 170.56

So, the answer is 170.56 dollars.

Hope this helps! :)

૮ ・ﻌ・ა

Elissa got a manicure and pedicure for $40. If she wants to give a 20% tip, how much would the tip be?​

Answers

Answer:

$8.01

Step-by-step explanation:

you multiply 40 with 0.20, and then add the answer of that (8) to the original price (40). so then the answer would be 48!

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Answer:

graph b

Step-by-step explanation:

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Answers

Answer: The answer to the expression is 4.543.

Answer : 4.543

Step-by-step explanation :

First step, subtract . . . what is 16.78 minus 12.237​ ? 4.543

-0.5x=3.6

F. -72
G. -7.2
H. 7.2
I. 72

Answers

Answer:

G

Step-by-step explanation:

3.6÷-0.5 is -7.2, so it's G

Graph y= 0.5x^2 - 4x +6 on the coordinate plane.

Vertex:

Is this considered a minimum or maximum point?

Axis of symmetry: x=

Roots: x= and x=

Answers

Answer:

V: (4, -2), min, Axis: x = 4, Roots 2 and 6

Step-by-step explanation:

Multiply everything x 2 to get rid of the decimal in front of x^2

2y = x^2 - 8x + 12

Factor

2y = (x - 6)(x - 2)

The roots are at 2 and 6.

The axis of symmetry is in the center between the roots, so it is x = 4.

Put 4 into the original equation to find y

y = 0.5(4*2) - 4(4) + 6

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Simplify (x^3 + 2x^2 - x) + (4x^3 + x^2 + x)

Answers

Answer: 5x^3 + 3x^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

           6x2 - 8x - 2

Simplify   ————————————

              x - 1    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  6x2 - 8x - 2  =   2 • (3x2 - 4x - 1)

Trying to factor by splitting the middle term

3.2     Factoring  3x2 - 4x - 1

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -4x  its coefficient is  -4 .

The last term, "the constant", is  -1

Step-1 : Multiply the coefficient of the first term by the constant   3 • -1 = -3

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is   -4 .

     -3    +    1    =    -2

     -1    +    3    =    2

Observation : No two such factors can be found !!

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Polynomial Long Division :

3.3    Polynomial Long Division

Dividing :  3x2-4x-1

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     3x2  -  4x  -  1

- divisor  * 3x1     3x2  -  3x    

remainder      -  x  -  1

- divisor  * -x0      -  x  +  1

remainder          -  2

Quotient :  3x-1

Remainder :  -2

Final result :

 2 • (3x2 - 4x - 1)

 ——————————————————

       x - 1      

See results of polynomial long division:

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Answer:

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Step-by-step explanation:

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[tex]\huge\boxed{Good\:evening!:)}[/tex]

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[tex]\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}[/tex]

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Answers

Answer:

Step-by-step explanation:

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The graph attached shows the nature of the graph.

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Answer:

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Hope that helps you. x

Step-by-step explanation:

180 newspapers can be delivered in 3 hours,

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what statement and about what figure??

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Lena buys candy that costs $7 per pound. She will buy less than 12 pounds of candy. What are the possible amounts she will spend on candy

Answers

Answer:

Lena can buy candy in infinite no of ways with the possible amounts:-

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Answers

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