The algebraic equation is 4(0.25)+2x=17
STEP 1: Simplify both sides of the equation
1+2x=17 or 2x+1
STEP 2: Subtract both sides
2x = 16
STEP 3: Divide both sides by 2
2x/2 = 16/2
x = 8
Molly purchased 8 books last month
Answer:
x=48 and y is 132 my guy u welcome
Answer:
The function g(x) is defined as 
.
Step-by-step explanation:
The given function is
The function f(x) transformed 9 units right, compressed vertically by factor of 1/6 and reflected across the x-axis.
The transformation of function is defined as
Where, k is vertical stretch, b is horizontal shift and c is vertical shift.
If b>0, then the graph of f(x) shifts b units left and if b>0, then the graph of f(x) shifts b units right.
If c>0, then the graph of f(x) shifts c units upward and if c>0, then the graph of f(x) shifts c units downward.
The value of b is -9 because the graph shifts 9 units right. The value of k is 1/6. If the graph of function f(x)reflect across x-axis, therefore the function is defined as -f(x).
![[\because f(x)=-(0.2)^x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3D-%280.2%29%5Ex%5D)
Therefore the function g(x) is defined as .
answer
$962.50
set up equation
first, we want to find out how many gallons of gas she'll save a year
x1 = gallons for old car
x2 = gallons for new car
gallons saved = x1 - x2 since she uses more gallons with the old car with a lower miles per gallon
then, find how much she saves on gas by multiply the price per gallon (3.85) by gallons saved
price saved = gallons saved * price
price saved = (x1 - x2) * 3.85
gallons with old car
to find the number of gallons, we divide the number of miles (15000) by miles per gallon (24 for the old car)
x1 = 15000 / 24
x1 = 625
gallons with new car
use the same process as with the old car, but with 40 miles per gallon instead
x2 = 15000 / 40
x2 = 375
plug in values
price saved = (x1 - x2) * 3.85
price saved = (625 - 375) * 3.85
price saved = 250 * 3.85
price saved = $962.50
The answer is a 2. Because x goes up by +2 and y goes up by x2
