A slice of carrot cake from The Cheesecake Factory contains 1,560 calories. This represents 75% of the average daily calorie requirement for many adults. Find the average daily calorie requirement for these adults.

Step 1 of 5

(1). Familiarize.

The energy in the slice of carrot cake is described in terms of the requirement of energy of an adult on a day.

So we let x calories = the requirement of energy of an adult on a day.

3/4 ( x ) calories

Then  is the energy in the slice of carrot cake.

The energy in the slice of carrot cake is 1560 calories.

2,080calories

Step-by-step explanation:

1569/75 = x/100 (cross multiplication)

(1560 * 100) / 75

= 2,080

10000

step-by-step explanation: divide by 2,

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.