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.

Learn  more on inequality here: brainly.com/question/24372553


Related Questions

plzzzzz help!! 20 points
Eric's dog gets 34.7 grams of protein in each meal. How much protein does the dog get in 4 meals?

Answers

Answer:

242.9 grams

Step-by-step explanation:

Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams

The volleyball team is having a carwash fundraiser. The cost of each car wash is $5. They sold some season ticket packages, which brought in $1640. The goal of the team is to make at least $2000 from the combined totals of the two fund-raisers. How many cars must they wash in order to meet the team goal of $2000?

Answers

Answer:

They need to wash 72 cars

Step-by-step explanation:

2000 - 1640 = 360

360/5 = 72

What is the best estimate for this sum?

1/8+1/6


Options here:

The sum will be close to 1/4

The sum will be close to 1/2

The sum will be close to 1


*Disclaimer* show work

Answers

It's 7/24 so about 0.292
therefore it will be close to 1/4

or you calculate 1/8 = 0.125 and 1/6 = 0.1666 adds up close to 1/4

Help me with this please.......

Answers

Step-by-step explanation:

12 x + 124⁰ = 360⁰

12x = 236⁰

x = 19.67 Is your answer

Quadrilateral MNOP was dilated with the origin as the center of dilation to create quadrilateral M'N'O'P'. The quadrilateral was dilated using a scale factor of 1.5. The coordinates of the vertices of quadrilateral MNOP are given. What are the coordinates of N'?
A) (4,5)
B) (1.5, 2)
C) (4.5, 5.25)
D) (2, 2.3)

Answers

With the center of dilation at the origin, the image is given by the product

of the corresponding point on the preimage and the scale factor.

The coordinates of N' is; [tex]\underline{C) \ (4.5, \ 5.25)}[/tex]

Reasons:

The center of dilation of quadrilateral MNOP = The origin

The image following the dilation of MNOP = M'N'O'P'

The scale factor of dilation = 1.5

Required:

The coordinates of N'

Solution:

The coordinates of N in MNOP = N(3, 3.5)

The coordinate of a point (x', y') on the image following the dilation with center at the origin, of the preimage (x, y) by a scale factor is given as follows;

(x', y') = Scale factor × (x, y)

Which gives;

The coordinates of N' = 1.5 × N(3, 3.5) = N'(1.5 × 3, 1.5 × 3.5) = N'(4.5, 5.25)

The coordinates of N' = C) (4.5, 5.25)

Learn more about dilation transformation here:

https://brainly.com/question/12561082

Answer:

C) (4.5, 5.25)

Step-by-step explanation:

to convert 25 hours to minutes would you use the ratio 1/60

Answers

Answer:

Yes

Step-by-step explanation:

1 hour = 60 min

25 hours = 60 x 25 min

what is the length of XY​

Answers

Answer:

15

Step-by-step explanation:

The quotient of s and three

Answers

Answer:

s/3

Step-by-step explanation:

The quotient means you divide the two values.

Need help NOW on HS geometry

Answers

It would be A) 13 because 7 (13) - 1 = 90 and that angle is 90 degrees

Acafeteria has two sizes of pizza to serve students during lunch.
The smaller pizza has a 4-inch diameter. What is the area of the smaller pizza?
What did a the area of the smaller pizza

Answers

Answer:

pointsss

Step-by-step explanation:

Answer: 12.56 inches^2 or 4π inches^2 (depending on what format your answer needs to be in)

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex].

To find the radius (r), divide the diameter of 4 inches by 2. The radius is 2 inches.

Plug this into your equation to get [tex]\pi (2^{2} )[/tex], which can be simplified to 4π inches^2.

If you need your answer as a decimal, input 3.14 for [tex]\pi[/tex] to get an equation of 4 * 3.14. Multiply to get a final answer of 12.56 inches^2.

Can someone plz help Me?

Answers

Answer:

It’s A :D

Step-by-step explanation:

3 goes into 12 4 times

4 times 4 equals 16

so 16 can of soup

and then! 4 goes into 36   9 times

Click the picture to see inside! :3

Hope this helps :DDD

Solve by using the quadratic formula. (If there is no solution, enter NO SOLUTION.)

1/7x^2+1=3/7x
smaller value of x =
larger value of x=

Answers

[tex]\dfrac 17 x^2 + 1 = \dfrac 37 x\\\\\implies x^2 +7 =3x~~~;[\text{Multiply both sides by 7}]\\\\\implies x^2 -3x +7 =0\\\\\text{Apply quadratic formula}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case ,}~ a =1, b= -3 , c =7\\\\x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(1)(7}}{2(1)}\\\\\implies x= \dfrac{3 \pm \sqrt{-19}}{2}\\\\\implies x =\dfrac{ 3 \pm i\sqrt{19}}2\\\\\\\text{Smaller value of x } =\dfrac{ 3 -i\sqrt{19}}2\\\\\text{Larger value of x } =\dfrac{ 3 +i\sqrt{19}}2[/tex]

Determine if triangles with the following side lengths are possible.

A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,

Answers

Answer:

a is possible

b is not possible

c is possible

Solve the equation.
7- 3n = 11n+ 2

Answers

if ur solving for n then its -2
n=-1/4
3n-11n=11n+2-11n

find the domain of f(x). f(x) = √9x+36​

Answers

Answer:

The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]

Step-by-step explanation:

I'm assuming the 9x and the 36 are in the root

[tex]\sqrt{9x+36}[/tex]

first we must solve for x

[tex]{9x+36}\geq 0[/tex]

substract 36 to both sides

[tex]{9x}\geq -36[/tex]

divide by 9 to both sides

[tex]\frac{9x}{9} }\geq \frac{-36}{9}[/tex]

simplify left side

[tex]x\geq \frac{-36}{9}[/tex]

simplfy right side

[tex]x\geq -4[/tex]

The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]-4}

Sarah work as a receptionist in a busy dental office she made $350.15 after 23.5 hours of work how much was Sarah paid per hour

Answers

350.15 divided by 23.5 hours equals 14.90

Answer: $14.9/hr

Step-by-step explanation: you divide $350.15 by 23.5hr to get how much she makes an hour

The sides of two cubes differ by 2 cm and their volumes differ
by 152 cm^3 Find the length of the side of the smaller
culce.

Answers

The length of the side of the smaller cube is 3.48cm

Let the length of the smaller side be xThe length of the bigger side will be x + 2

Volume of the smaller cube  = x^3Volume of the larger cube  = (x+2)^3

If their volumes differ  by 152 cm^3, then;

x^3 - (x+2)^3 = 153

Expand

x^3 - (x^3 + 3x^2(2^2) + 3x(2^3) + 2^4) = 153

x^3-x^3-12x^2-24x + 16 = 153

-12x^2-24x + 16 = 153

12x^2 + 24x - 16 - 153 = 0

12x^2 + 24 -169 = 0

On factorizing, the value of x is 3.48. This shows that the length of the side of the smaller cube is 3.48cm

Learn more on volume of cubes here:  https://brainly.com/question/1972490

I need help on this. I've no idea about this. Please help me...​

Answers

Answer:

Answers are below.

Step-by-step explanation:

Hope this helps:)

what is 5 7/20 written as a decamal

Answers

Answer:

5 7/20 as a decimal is 5.35

Hope that helps. x

Answer:

Step-by-step explanation:

If your question has a big number 5 and a fraction 7/20, the 5 is going to be in the left side of the decimal, like 5.something ... the 7/20 is going to be the part on the right. If you're allowed to use a calculator just divide 7÷20 and that part goes on the right of the decimal. If you're not allowed to use a calculator then change 7/20 into something/100 ... 7/20× 5/5 gives you 35/100. That is the decimal part. It is written .35 So all together you get 5 7/20 is 5.35


Find the inequality represented by the graph.

Answers

Answer:

y ≤ -1/3x + 1

Step-by-step explanation:

find the slope and y-intercept and write equation in form of

y = mx + b;  m = slope and b = y-intercept

if you start at (0,1) and move down and to the right to (3,0) you get a slope equal to -1/3

we can see by looking at the graph that the y-intercept is 1

therefore, y ≤ -1/3x + 1

Complete the statement. Round the nearest hundredth if necessary.
6.5L=. Gal

Answers

Answer:1.72Gal

Step-by-step explanation:1 Gal is 3.785 L. 6.5 / 3.785 = 1.72

Fred mixes 3 1/2 cups of flour, 1 1/4 cups of sugar, 2/3 cup of rye flour, and 1/3 cup of wheat flour. Will the ingredients fit into a 6-cup bowl?

Answers

Yes because all of that equals to 5 and 9/12 which is less than 6 cups

4 1/2 x 5 Multiply and answer with a mixed number in the simplest form.

Answers

Answer:

[tex]22\frac{1}{2}[/tex]

Step-by-step explanation:

(4.5)(5) = 22.5

[tex]22.5 = 22\frac{1}{2}[/tex]

Elena received a $30 gift for her birthday. She plans to use it to buy one or more books. Elena will have to pay 8% sales tax on the books and $1.50 bus fare to get to and from the shopping center. If c = the amount in dollars Elena spends on books, this situation can be represented by the inequality below.
1.08c + 1.5 ≤ 30

Answers

The cost of book has to be less than or equal to 26.39.

The amount of money Elena can buy has to be less than or equal to $30. Thus, the inequality sign to be used is the less than or equal to sign.

(1 + tax)cost of books + cost of bus fare ≤ value of the gift

1.08c + 1.5 ≤ 30

In order to determine the maximum cost of books, take the following steps:

Combine similar terms

1.08c  ≤ 30 - 1.5

Add similar terms together

1.08c  ≤ 28.50

Divide both sides of the equation by 1.08

c  ≤ 28.50 / 1.08

c  ≤ 26.39

To learn more about taxes, please check: https://brainly.com/question/25311567

Sarah rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 2.

Answers

Answer:

1/36.

Step-by-step explanation:

She gets 1 on the first dice and 1 on the second.

This is the only way Sarah can get a sum of 2.

The total  possible outcomes is 6*6 = 36.

So the required probability is 1/36.

A candy company used 8 pints of chocolate to
make 2 boxes of candy. How much chocolate would
they need to make 6 boxes of candy?

Answers

Answer:

They would need 24 pints of chocolate to make 6 boxes of candy

The areas of two similar
squares are 16 m2 and 49 m2.
What is the scale factor of
their side lengths?
[?]:[ ]

Answers

4:7

Take the square root of each square to get the side lengths

4*4=16
7*7=49

Answer:

4:7

Step-by-step explanation:

We know that

Area of square = s²

For square 1

16 = s²

√16 = s

4 = s

For square 2

49 = s²

√49 = s

7 = s

Scale factor = 4:7

Toya has a car loan of $8500. Over the course of the loan, she paid a total of $5526 in interest at a rate of 13%. How many months was the car loan?

Answers

Answer:

42 months

Step-by-step explanation:

Solve
x ^ 4 -8x ^ 2 – 9 = 0

Answers

Answer: 0 is the answer

Step-by-step explanation: your welcome its 0

solve 3x/7= 1/2

pls show working out thanks <3

Answers

Multiply the equation by 7, than divide by 3 to get x = 1.1666
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