Kim had d dollars and she bought a apples for 12 cents each and b bananas for 18 cents each. How many cents did she have left

Explanation:

d dollars = 100d cents

for example, if d = 4, then,

4 dollars = 100*d = 100*4 = 400 cents

So Kim starts off with 100d cents.

She buys 'a' apples, where 'a' is a placeholder for the number of apples. If a = 5, then she bought 5 apples and spends 12*a = 12*5 = 60 cents. In general, she spends 12a cents buying 'a' apples.

Similarly, she spends 18b cents buying b bananas. The letter b is the placeholder for the number of bananas.

Overall, Kim spends 12a+18b cents for buying that amount of apples and bananas. Subtract this expression from 100d to find out how much money she'll have left over.

100d - (12a+18b) = 100d-12a-18b

This left over amount is in cents. If you want to convert to dollars, then you would need to divide by 100.

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.