Mathematics High School

Which value of y makes the inequality 3y^2+2(y-5)>8 true


A y=0
B y= -1
C y= -2
D y= -3

Answers

Answer 1

Answer:

Conclusion:

As y = -3 MAKES the inequality TRUE.

Therefore, option D i.e. y = -3 is true.

Step-by-step explanation:

Given the inequality

3y² + 2(y - 5) > 8

For y = 0

substitute y = 0 in the inequality

3y² + 2(y - 5) > 8

3(0)² + 2(0 - 5) > 8

3(0) + 2(-5) > 8

0 - 10 > 8

-10 > 8

FALSE!

-10 can not be greater than 8.

Hence, y = 0 does not make the inequality true.

For y = -1

substitute y = -1 in the inequality

3y² + 2(y - 5) > 8

3(-1)² + 2(-1 - 5) > 8

3(1) + 2(-6) > 8

3 - 12 > 8

-9 > 8

FALSE!

-9 can not be greater than 8.

Hence, y = 1 does not make the inequality true.

For y = -2

substitute y = -2 in the inequality

3y² + 2(y - 5) > 8

3(-2)² + 2(-2 - 5) > 8

3(4) + 2(-7) > 8

12 - 14 > 8

-2 > 8

FALSE!

-2 can not be greater than 8.

Hence, y = -2 does not make the inequality true.

For y = -3

substitute y = -3 in the inequality

3y² + 2(y - 5) > 8

3(-3)² + 2(-3 - 5) > 8

3(9) + 2(-8) > 8

27 - 16 > 8

11 > 8

TRUE!

11 is indeed greater than 8.

Hence, y = -3 MAKES the inequality TRUE.

Conclusion:

As y = -3 MAKES the inequality TRUE.

Therefore, option D i.e. y = -3 is true.

Answer 2

Answer:

D

Step-by-step explanation:

Related Questions

137 divided by 3,562 pls help meeeee

Answers

Answer:

26

Step-by-step explanation:

Answer:

0.039 but u might wanna put the other way around which is 26

A pump moves 70 gallons of water
per minute. How long will it take the
pump to empty a 2,030-gallon tank?

Answers

It will take 29 minutes to empty a 2,030- Gallon Tank.
70 x 1 = 70 Gallons per minute
2,030/70 = 29 minutes

PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.

Answers

Answer:

B. 1.828 meters

Step-by-step explanation:

How much is 2000mg in grams?

Answers

Answer:

2 grams

Step-by-step explanation:

It’s 2 grams ...............

I WILL MARK BRAINLIEST!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

hope it helps thank you

The granola Summer buys used to cost $6.00 per pound, but it has been marked up 15%. Suppose Summer buys 3.5 pounds of granola. How much more does it cost at the new price than at the old price?

Answers

New price = 24.15
Old price = 21

Answer:

the answer would be 3.15

Step-by-step explanation:

Find the missing length

I WILL GIVE BRAINLIEST

Answers

Answer: 30

Step-by-step explanation: Assuming that the side lengths correspond with one another you can set up a ratio to solve

It should look something like this:   15/25 = 18/x

With this equation set up you can solve by cross multiplying. 25(18)=15x

Then start sloving:

25(18)=15x

450=15x

450/15=15x/15    (divide both sides by 15)

30=x

               

Twice the difference of 1 and a number.

Answers

2(1-n) where n=a number

state if polygons are similar

Answers

Answer:

B

Step-by-step explanation:

solve for x using the correct order operations
12- (3 times 2)^2 + 4 times 3 = x
A x = -60
B x = -12
C x= 48
D x = 12
please help i will give brainliest :))

Answers

Answer:

B: x = -12

Step-by-step explanation:

12 - (3 × 2)^2 + 4 × 3

Use PEMDAS, meaning solve what's in the parentheses first (P stands for parentheses)

12 - (6)^2 + 4 × 3

We get 6 because 3 × 2 = 6

Next step is solve any exponents (E for exponents)

12 - 36 + 4 × 3

We get 36 because 6 × 6 = 36 (the exponent was 2 meaning multiply the same number, 6, twice: 6 × 6)

Now we move on to multiplication and division (M for multiplication and D for division)

These are interchangable in that either can go first depending on its location in the equation

However, since there is no division in this problem we automatically skip to multiplication

12 - 36 + 12

We answered 12 because 4 × 3 = 12

Our last steps in PEMDAS are addition and subtraction (A for addition and S for subtraction)

These are also interchangable, but both are apparent in this problem

Now it depends on location

Whichever sign (addition or subtraction) is first in accordance from left to right is where we start first)

Subtraction is first

-24 + 12

Now we add -24 + 12

-12

Use the description below for Exercises. A rectangle has a length of 12 inches and a perimeter of 42 inches.

The rectangle is dilated using a scale of 4. Find the perimeter and the area of the dilated rectangle.

Answers

Answer:108

Step-by-step explanation:

12+12+42+42

please help. I need the answer to the question circled in red. thanks!!​

Answers

Answer:

35 units

Step-by-step explanation:

35 units I’m pretty sure

x to the 2nd power minus 6 equals 1

Answers

Answer:

2.646

Step-by-step explanation:

You have to 6 to the 1 and then take the square root of the number which is seven leaving you with 2.646

Answer:

x = ±√7

Step-by-step explanation:

Symbolically, we have x^2 - 6 = 1,  and so x^2 = 7, so that x = ±√7

What is the slope-intercept form of the equation of the line that passes through the points (9, 5) and (4, 1)?

Answers

Answer:

y=4/5x+-11/5

Step-by-step explanation:

might no be but im sleepy so

Answer:

y=4/5x−11/5

Step-by-step explanation:

Just took the test

y = 2(x – 3)2 - 4
Convert to standard form

Answers

Answer:

4x - y = 16

Step-by-step explanation:

y = 2(x – 3)2 - 4

When written in standard form, this will be the answer --->

4x - y = 16

Answer:

y = 2x² - 12x + 14

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = 2(x - 3)² - 4 ← expand (x - 3)² using FOIL

  = 2(x² - 6x + 9) - 4 ← distribute parenthesis

  = 2x² - 12x + 18 - 4

y  = 2x² - 12x + 14 ← in standard form

someone help its due

Answers

Answer:

15

Step-by-step explanation:

PQR = 150.

RPQ = PRQ

RPQ + PRQ = 30

RPQ = 15

15 is the answer, if it’s wrong im not sure what else it’d be

multiply. (x^2-5x+2)(3x^2+2x+3)

Answers

Answer:

3x^4-13x^3-x^2-11x+6

Step-by-step explanation:

Checked this on a website for you btw!

Answer:

3x^4-13x^3-x^2-11x+6

Step-by-step explanation:

select all relations that are functions from the choices below.

Answers

The correct answer is A

Round the number above to the place where the 3 is located. 5,684.937

Answers

Answer:

5684.940

there is your answer

A couch was originally priced at $800.00. The sale price is 25% off. Find the discount.

Answers

Answer:

The price after the discount is $600

The amount discounted off is $200

Step-by-step explanation:

HELP PLEASE
The value of h, to the nearest hundredth, is ...

Answers

Answer:

50.19

Step-by-step explanation:

quick mafs hun <3

Need help with questions and will give brainest to good answers. Bad answers or jokes will be reported thanksssssss

Answers

Answer:

3, 10, -2/3

Step-by-step explanation:

I don't speak spanish, so I hope i did this right.

Problem 1

set equal to each other

2x+1=x+4

-4         -4

2x-3=x

-2x     -2x

-3=-x

times -1 to get a positive x

3=x

Problem 2

repeat steps

4x-5=3x+5

+5            +5

4x=3x+10

-3x    -3x

x=10

Problem 3

repeat steps

x=4x+2

-4x  -4x

-3x=2

divide

x=- 2/3

to find the y's, go back and plug in

Prob 1: y=(3+4) =7

Prob 2: y=[3(10)+5] =35

Prob 3: y=(-2/3) =-2/3

Answer:

1.)

y = 2x + 1

y = x + 4

Substitute

2x + 1 = x + 4

Subtract 1 on both sides

2x + 1 - 1 = x + 4 - 1

2x = x + 3

Subtract x on both sides

2x - x = x - x + 3

x = 3

Now that we have x we can use that for finding y

y = x + 4

y = 3 + 4

y = 7

x = 3

y = 4

( 3, 4 )

__________________________________________________________

2.)

y = 4x - 5

y = 3x + 5

Substitute

4x - 5 = 3x + 5

Add 5 on both sides

4x - 5 + 5 = 3x + 5 + 5

4x = 3x + 10

Subtract 3x on both sides

4x - 3x = 3x - 3x + 10

x = 10

Now that we have x, we can use that to find y

y = 3x + 5

y = 3 (10) + 5

y = 30 + 5

y = 35

x = 10

y = 35

( 10, 35)

__________________________________________________________

3.)

y = x

y = 4x + 2

Substitute

x = 4x + 2

Subtract 4x on both sides

x - 4x = 4x - 4x + 2

-3x = 2

Divide -3 on both sides to isolate the variable

-3x/-3 = 2/-3

x = -2/3

Now that we have that we can use it to find y

y = x

y = -2/3

x = -2/3

y = -2/3

( -2/3, -2/3)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Write the equation of the line with the given slope and y-intercept

Answers

Answer:

A) y = x - 3/4

Step-by-step explanation:

The equation of the line with slope m and intercept b is

y = mx + b

Here were have slope = m = 1.

y-intercept = b = -3/4

Equation:

y = mx + b

y = 1x + (-3/4)

y = x - 3/4

Answer: A) y = x - 3/4

6
There are 2 rectangular windows in Ms.
Ridley's dining room. One window is 31 inches
wide and 32 inches tall. The other window is
27 inches wide and 32 inches tall. What is the
difference in the areas of the windows in Ms.
Ridley's dining room?
8 square inches
4 square inches
132 square inches
128 square inches

Answers

Answer:

128 square inches

Step-by-step explanation:

Window one's area is 31 times 32 which is 992 in^2

Window two's area is 27 times 32 which is 864 in^2

Subtract 992 from 864 to get the difference

Express 2.31 as a fraction

A. 231/1000

B. 2.31/10

C. 231/100

D. 2.31/1000​

Answers

the answer is 231/100 because the .31 is in the hundredths place

Answer:

C 231/100

Step-by-step explanation:

hope this helps :)

PLEASR HELP ASAP!!!!!!! i’ll mark brainlest

Answers

This should help ^-^
B: (1/2) exponent 5

That’s the answer I think

What is the slope of the line (-4,-1) (1,4)

Answers

Answer:

1

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

yes what do you need help with

A biology class examined some flowers in a local meadow. The students saw 88 perennial
flowers and 12 annual flowers. What percentage of the flowers were perennials?

Answers

Answer:

88%

Step-by-step explanation:

The volume of a cylinder is 1767 cm and its height is 11 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.

Answers

Answer:

1778 cm

Step-by-step explanation:

A saving account earns 4.5 simple interest per year. If 650.00 is deposited and no withdrawals or deposits are made during one year how much interest will be earned after one year

Answers

Answer:

29.25 Interest

Step-by-step explanation:

Take the formula: I=PRT

The principal is 650.00, 4.5 is the rate, 1 year is the time, We do not know the interest.

Change the rate, 4.5 to 0.045 to help solve the problem.

Times 650.00, 0.045, and 1 together.

You will get 29.25, Which is the answer!

Booyah! You are done.

Hope this helps!

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