ok, so this a question about shifts
to shift a function, f(x) up by c units, add c to the whole function
f(x) shifted up by c units is f(x)+c
find how far up it was shifted
at x=0, f(x)=1.5^0=1
we see that the translated function hits the y axis (where x=0) at y=-3
so it is a shift down by 4 units or shift up by -4 units
so the new function would be
answer is the first option
Answer:
x=2
y=3
<em><u>Explanation</u></em>
1. Solve x + 2y = 8 for x:
x + 2y = 8
x+2y + − 2y = 8 + −2y(Add -2y to both sides)
x = −2y + 8
2. Substitute −2y + 8 for "x" in 5x − 2y =4
5x − 2y = 4
5 (−2y + 8) − 2y =4
−12y + 40 = 4 (Simplify both sides of the equation)
−12y + 40 + −40 = 4 + −40(Add -40 to both sides)
−12y = −36 (Divide both sides by -12)
y = 3
3. Substitute 3 for "y" in x= −2y + 8
x = −2y + 8
x = (−2) (3) + 8
x = 2 (Simplify both sides of the equation)
Answer:
x = 2 and y = 3
Answer:
x=3 & x=-2/3
Step-by-step explanation:
- 3x^3+2x^2-27x-18
- (3x^3-27x)+(2x^2-18)
- 3x(x^2-9)+2(x^2-9)
- (3x+2)(x^2-9)
- 3x+2=0
- 3x=-2
- 3x/3=-2/3
- x=-2/3
- x^2-9=0
- x^2=9
- =
- x=3
- x= -2/3 & x=3
Divide the total number of miles by the number of gallons to get the mpg. (miles per gallon.)
84 / 3.62 = 23.2 mpg.
If you want to solve this i suggest rather dividing or multiplying.