Answer:c(d) = 5 + (0.75*d)
Step-by-step :
In this equation the cost (c) of the distance traveled (d) has a base rate of 5, and increases by .75 for every mile traveled (d)
Answer:
y=-2x-5
Step-by-step explanation:
First of all, you have to distribute -2 to (x-1) to get to this equation y+7=-2x+2. Then, you subtract 7 on both sides to get the slope-intercept of y = -2x - 5.
Answer:
a
Step-by-step explanation:
The equation of a proportional relationship is
y = kx ← k is the constant of proportionality
Divide both sides by x
= k
To find k use any ordered pair from the table
Using (2, 
) , then
k = 
= 2 × 
= 
This can solved graphically, using algebraic manipulation or differential calculus.
Plotting the equation will generate a parabola. The vertex represents the point where the ball will reach the maximum height.
The vertex can be determined by completing the square
h = -16t2 + 45t + 5
h - 5 = -16(t2 - 45/16t)
h - 5 - 2025/64 = -16(t2 - 45/16t + 2025/1024)
(-1/16)(h - 2345/64) = (t - 45/32)^2
The vertex is
(45/32,2345/64) or (1.41,36.64)
The maximum height is 36.64 ft
Using calculus, taking the first derivative of the equation and equating to 0
dh/dt = 0 = -32t + 45
t = 45/32
Substituting this value to the equation
h = -16(45/32)^2 + 45(45/32) + 5
h = 36.64 ft
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