Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?2feet

16 feet

32 feet

64 feet

Answers

Answer 1

Answer:

Answer:

Option D - 64 feet.

Step-by-step explanation:

Given : Ja'Von kicks a soccer ball into the air. The function $f(x) = -16(x-2)^2 + 64$ represents the height of the ball, in feet, as a function of time, x, in seconds.

To find: What is the maximum height the ball reaches?

Solution :

To find the maximum height of the ball we find the derivative,

$f(x) = -16(x-2)^2 + 64$

Derivate w.r.t x

$f'(x) = -16* 2(x-2)+0$

$f'(x) = -32(x-2)$

To find maxima put $f'(x)=0$

$0= -32(x-2)$

$32x=64$

$x=2$

Now, we find the second derivative form maximum,

$f''(x) = -32<0$

Therefore, The maximum point is at x=2

Substitute x=2 in the given function,

$f(2) = -16(2-2)^2 + 64$

$f(2) = -16(0)+ 64$

$f(2) = 64$

Therefore, Option D is correct.

The maximum height the ball reaches is 64 feet.

Answer 2

Answer:

Answer:

Step-by-step explanation:

Related Questions

Which problem would you use the following proportion to solve for?24/x = 40/100 A. What is 40% of 24? B. Twenty-four is 40% of what number? C. What percent is 24 of 40? D. Forty percent of 24 is what number?
Find the value of d that makes the equation true: d - 8 = 5. d = 10 d = 11 d = 12 d = 13
Event B is dependent on event A, and event A occurs before event B. Which formula can be used to find the probability of event A?a. P(A and B) P(B) b. P(A and B) P(B|A) c. P(A and B) P(A|B) d. P(A and B) × P(B|A) e. P(A and B) × P(B)
What is the z score of 0.10?
How to delete brainly accout

Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours. If Tyra typically works 45 hours per week, how much does she earn? a. $856.00
b. $963.00
c. $1,016.50
d. $1,444.50

Answers

Answer:

Tyra earns $1016.5 .

Option (c) is correct .

Step-by-step explanation:

As given

Tyra makes $21.40 per hour at her job for the first 40 hours and $32.10 for anything over 40 hours.

If Tyra typically works 45 hours per week .

Tyra work over 40 hours = 45 -40

= 5 hours

Amount Tyra earns for first 40 hours = 40 × 21.40

= $ 856

Amount Tyra earns for over 40 hours = 5 × 32.10

= $160.5

Total amount Tyra earns = Amount Tyra earns for first 40 hours + Amount Tyra earns for over 40 hours .

Putting the values in the above

Total amount Tyra earns = $856 + $160.5

= $1016.5

Therefore the Tyra earns $1016.5 .

Option (c) is correct.

The answer would be 1016.50.

Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.

m + f = 15

3m + 5f = 51

How many multiple-choice questions are on the test?

3
5
12
14

Answers

The right answer for the question that is being asked and shown above is that:

m + f = 15 ---> 3m + 3f = 45
3m + 5f = 51

3m + 3f = 45
3m + 5f = 51
-------------------
-2f = -6
f = 3

m + f = 15
m = 15 - 3
m = 12

So the correct answer is 12.

Answer:

So the correct answer is 12.?

Step-by-step explanation:

Angle A is in standard position and terminates in quadrant IV. If sec(A)=4/3, complete the steps to find cot(A).Use the identity_____ to find the value of _____(A).

Thank you in advance !!
Cheers, Z

Answers

Answer:

Part A) Use the identity $tan^2(A)+1=sec^2(A)$

Part B) $cot(A)=-(3√(7))/(7)$

Step-by-step explanation:

we know that

$tan^2(A)+1=sec^2(A)$ ----> by trigonometric identity

we have

$sec(A)=(4)/(3)$

substitute in the expression above

$tan^2(A)+1=((4)/(3))^2$

solve for tan(A)

$tan^2(A)+1=(16)/(9)$

$tan^2(A)=(16)/(9)-1$

$tan^2(A)=(7)/(9)$

square root both sides

$tan(A)=\pm(√(7))/(3)$

Remember that Angle A terminates in quadrant IV

The value of tan(A) is negative

$tan(A)=-(√(7))/(3)$

Find the value of cot(A)

we know that

$cot(A)=(1)/(tan(A))$ ----> is the reciprocal

therefore

$cot(A)=-(3)/(√(7))$

simplify

$cot(A)=-(3√(7))/(7)$

Answer:

First answer is A.

Second answer is: tan.

Third is answer C. sqrt7/3

Fourth answer is A. -3sqrt7/7

Step-by-step explanation:

Which would give the most precise measurement?A)
Find the distance between 2 cities to the nearest mile.
Eliminate
B)
Find the distance between 2 cities to the nearest 5 miles.
C)
Find the distance between 2 cities to the nearest 10 miles.
D)
Find the distance between 2 cities to the nearest 100 miles.

Answers

I believe the answer would be A)

How do you know if a rate of change is positive or negative?

Answers

if the quantity u have decreased with time so the rate is negative and vise versa

The function C (1)31+ 2 is the cost to order a lip gloss L,including the flat rate shipping charge. Which of the for
represents the cost of purchasing 5 lip glosses? (1 point)

C (5)=5
1=5
C (5)
C (1) = 5

Answers

Answer:

Therefore, the cost of purchasing 5 lip glosses, as represented by the function C(5), is 41.

Step-by-step explanation:

To find the cost of purchasing 5 lip glosses, we need to use the given function C(1) = 31 + 2, which represents the cost of ordering one lip gloss including the flat rate shipping charge. To find the cost of purchasing 5 lip glosses, we can substitute 5 for the variable in the function: C(5) = 31 + 2 * 5 C(5) = 31 + 10 C(5) = 41

Final answer:

The cost of purchasing 5 lip glosses represented in the function C(1)=31+2 is evaluated as C(5)=31+2*5, which equals 41 units.

Explanation:

This question involves the mathematical concept of functions, specifically, simple linear functions. In this example, we have the function C(1)=31+2, which informs us that the cost to order one lip gloss, denoted as 'L', is '31 plus twice the number of lip glosses ordered'

To answer the question 'What represents the cost of purchasing 5 lip glosses?', we substitute the number of lip glosses we want to buy (5) into our function. So instead of evaluating C(1), we evaluate C(5)=31+2*5, following the same structure of '31 plus twice the number of lip glosses ordered'. The solution to this would be C(5)=41, meaning it would cost 41 units (the currency isn't stated) for 5 lip glosses.