Linda has to buy stickers, erasers, and a pencil. She can only spend $3. A sticker costs $0.35, an eraser costs $0.99, and a pencil costs $0.59. Can Linda buy 3 stickers and 2 erasers? [Use the inequality 0.35x + 0.99y + 0.59 ≤ 3]

No

Step-by-step explanation:

Step 1: Understand the inequality

The inequality 0.35x + 0.99y + 0.59 ≤ 3 contains 2 variables 'x' and 'y'.  We can see the 'x' is multiplied by 0.35 which is the price of a sticker which means 'x' represents how many stickers Linda is buying.  The 'y' is multiplied by 0.99 which is the price of a eraser which means 'y' is how many erasers Linda is buying.  We ignore the 0.59 as that's the price for a pencil but Linda doesn't buy a pencil

Step 2: Sub in the values

Step 3: Interpret the answer

Because the equality isn't true we can conlude Linda doesn't have the money to buy 3 stickers and 2 erasers

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.