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.
The solutions to the given system of equations are x = 4 and y = -9
<h3>Simultaneous linear equations</h3>
From the question, we are to determine the solutions to the given system of equations
The given system of equations are
-8x-4y=4 --------- (1)
-5x-y=-11 --------- (2)
Multiply equation (2) by 4
4 ×[-5x-y=-11 ]
-20x -4y = -44 -------- (3)
Now, subtract equation (3) from equation (1)
-8x -4y = 4 --------- (1)
-(-20x -4y = -44) -------- (3)
12x = 48
x = 48/12
x = 4
Substitute the value of x into equation (2)
-5x -y = -11
-5(4) -y = -11
-20 -y = -11
-y = -11 + 20
-y = 9
∴ y = -9
Hence, the solutions to the given system of equations are x = 4 and y = -9
Learn more on Simultaneous linear equations here: brainly.com/question/26310043
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From the graph at x = 0, y = 0
Check1:
y = cosx
0 = cos(0)
0 = 1
therefore, this is not the function
Check2:
y = sinx
0 = sin(0)
0 = 0
therefore, this is the function
Conclusion:
the function in the graph is y = sinx
The answer would be y=(x+4)^2-37