Determine the smallest integer that makes -3x + 7 - 5x < 15 true. State the smallest possible value for x in the solution set below as a number only.

-1

Step-by-step explanation:

write it in the following manner:

-3x + 7  - 5x = 15

-8x + 7 = 15

-8x = 8

x = -1

Thus, the number has to be smaller than -1.

smallest possible value for x = 0

Step-by-step explanation:

An integer value is 0, 1, 2 and so on.

The smallest integer is 0.

-3x + 7 - 5x = -8x +7

consider y = -8x +7 and look at the y-axis and then specifically below 15 and then search for the smallest integer value ( meaning 0 or 1 or 2 and so on ).

y = ax + b

y = -8x + 7

a = -8

b = 7

a few points on that line:

(-1, 15) (0, 7) (1, -1) (2, -9)

You can see that for x = 0 you get the smallest INTEGER value of y = 7.

So x=0 is your answer!

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: