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

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.

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.