If we have the same base, we can do this:
(1/3)^4*(1/3)*7 = (1/3)^(4+7) = (1/3)^11
3^7/3^15 = (3^7)*(3*(-15)) = 3^(7 + (-15)) = 3^(-8) = 1/(3^8)
4^5*4^2 = 4^(5+2) = 4^7
Answer:
400 cm squared
Step-by-step explanation:
Area of Square = length*length.
A=20*20
A=400 cm squared
(5x+1) If X=3 then 5(3)+1=16
(2×2y) if Y=2 then 2×(2)2=8
16÷8=2
Step-by-step explanation:
this is a strange rental company charging no daily fees.
but ok.
so, we have a fixed part of the cost : $24
we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.
and then we pay $0.35 for every mile driven.
that makes our function
C(x) = 0.35x + 24
and if we drive 40 miles, that makes x = 40.
C(24) = 0.35×40 + 24 = 14 + 24 = $38
it would cost us $38.
Answer: Choice A
Note: the range should be 
. See explanation below.
===================================================
We can plug in any real number for x to get some output for y. The domain is the set of all real numbers in which we say 
which is interval notation. It represents the interval from negative infinity to positive infinity.
The range is the set of possible outputs. The smallest output possible is y = -5 which occurs at the vertex (3,-5). We can get this y value or larger. So we can describe the range as the set of y values such that 
and that translates to the interval notation .
The square bracket says "include this endpoint" while the curved parenthesis says to exclude the endpoint. Your teacher mistakenly wrote 
for choice A, when they should have written
I think either your teacher made a typo or somehow the formatting messed up. Either way, choice A is the closest to the answer.
