Step-by-step explanation:
The function is given by
It is an absolute value function which has a v- shaped graph.
The vertex form of an absolute function is given by y = a|x-h| +k, where (h,k) is the vertex.
Comparing the given equation with this, we have
h = 12
k = -2
Hence, the vertex would be (12,-2).
Now, the range of the function is the set of y values for which the function is defined.
This function has vertex of (12,-2). hence, it would not take any values which are less than -2. Please see the attached graph.
Hence, the range would be the all y values greater than or equal to -2.
Hence, the range is given by
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.
First, subtract both sides by 8x and you would get:
1 - 11x = 3
Then, subtract both sides by 1 and you will get:
-11x = 2
Divide both sides by -11:
x = -2/11
What does perpendicular mean? Well, in elementary geometry it mean 2 lines that intersect at a right angle. (90°).
So for Part one. all you need to do is draw a straight line down from the point X. Name the end point of that line M.
Now you will connect the line M and Z.
Thats it! I hope this helped!! :)
I think the answer is Garry has to invest 2,035 dollars a month for 30 years to reach his goal of 750,000 dollars
