This is a system of equations. The best way to solve it is by realizing that you have two equations equal to y. Since y = y, it follows that
. Solving for x, you get 4.
Then, substitute 4 into one of the original equations to find y.
.
The solution is
. I have attached a graphical representation of the solution as well.
Answer:
B) Figure 2
Explanation:
In all parallelograms, both pairs of opposite sides are parallel to each other. Thus the name parallelogram. Figure 1, figure 2 , and figure 4 all share that property. Figure 2 does not, as it only has one pair of opposite sides parallel to each other. It is a trapezoid.
306 is the answer for the last
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:
f(g(-64)) = -190
Step-by-step explanation:
The functions are not well written.
Let us assume;
f(x) = x+1
g(x) = 3x+1
f(g(x)) = f(3x+1)
Replace x with 3x+1 in f(x)
f(g(x)) = (3x+1) + 1
f(g(x)) = 3x + 2
f(g(-64)) = 3(-64) + 2
f(g(-64)) = -192+2
f(g(-64)) = -190
<em>Note that the functions are assumed but same method can be employed when calculating composite functions</em>
