1. Decide whether each inequality statement is true or false. Explain your reasoning.
a. -5 > 2
b. 3 > -8
C. -12 > -15
d. -12.5 > -12

a. -5 > 2 (This is false because -5 is not greater than 2.)

b. 3 > -8 (This is true because a positive is greater than a negative.)

c. -12 > -15 (This is true because -12 is closer to 0 than -15 on the number line.)

d. -12.5 > 12 (This is false because -12.5 is further away from 0 than -12.)

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.