Nathan is playing golf at a golf course. The height of the golf ball from the ground, in feet, x seconds after the ball is hit i
s given by the expression below.
What do the zeros of the expression represent?
A.
the times at which the golf ball is on the ground
B.
the times at which the golf ball reaches the maximum height
C.
the maximum height of the golf ball in the air
D.
the horizontal distance traveled by the golf ball
What do the zeros of the expression represent?
A.
the times at which the golf ball is on the ground
B.
the times at which the golf ball reaches the maximum height
C.
the maximum height of the golf ball in the air
D.
the horizontal distance traveled by the golf ball
1 answer:
Answer:
A. the times at which the golf ball is on the ground
Step-by-step explanation:
The expression of the function is
h(x)= -4x^2+36x
The roots can be seen in the image below
You have a formula which represents the height over time.
The roots of the equation indicate that the height is equal to zero
The correct option is
A. the times at which the golf ball is on the ground
The ball is in the ground at x= 0 and x = 9 seconds
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First, you have to find out the values of the length and width.
Let l = length and w = width.
Set up your equation for area: l * w = 80
Set up your equation for perimeter: 2l + 2w = 36
We can use substitution for this problem, so find out the value of l or w. In this case, I will use the first equation to find out the value of l.
(Divide w on both sides) l = 80 / w
Since I know that l = 80 / w, I can substitute it into the second equation.
2l + 2w = 36, and l = 80 / w
= 2 (80/w) + 2w = 36
Simplify the equation.
= 160/w + 2w = 36
Get rid of the w in the denominator by multiplying the entire equation by w.
= ( 160/w + 2w = 36 ) * w
= 160 + = 36w
= 2 ( w - 8 ) ( w - 10 )
The solutions for width (w) is 8 or 10. Then, you can use both 8 and 10 as your length and width, either or is fine. Multiply by 4 for each of those values and you get 8 x 4 = 32 and 10 x 4 = 40. The new perimeter would be 2(32) + 2(40) =
a. 144 cm
Hope this helped you! Let me know if there are any confusions :)
Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.
<h3>Compound interest</h3>Compound interest is given by:
where A is the amount after t years, P is initial amount, r is the rate and n is the times compounded per period
Given that n = 1, r = 9% = 0.09, A = $7500 t = 11. Hence:
Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.
Find out more on Compound interest at: brainly.com/question/24924853
Answer:
35 quarters
Step-by-step explanation:
This situation has two unknowns - the total number of dimes and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
is an equation representing the total number of coins
is an equation representing the total value in money based on the number of coin. 0.10 and 0.25 come from the value of a dime and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get . We now substitute this for d in the second equation.
After simplifying, we subtract 6 across and divide by the coefficient of q.
We now know of the 60 coins that 35 are quarters. To find the total value of the quarters, we multiply 35 by 0.25 and find 8.75.