Ball thrown straight up
H(x)=64x-16xSquared


How do you find the value of x when the ball reached its maximum height.

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

H(x) = 64x - 16x²

Find the value of x when the ball reaches its maximum height.

Since the largest degree in this equation is two, this function represents a parabola. We can find the maximum height of the ball at the vertex of the quadratic.

In H(x) = 64x - 16x², rearrange the powers from greatest to least:

a = -16b = 64c = 0

Vertex: [-b/2a, f(-b/2a)]

Substitute a and b into the x-value of the vertex: -b/2a.

-(64)/2·(-16) -64/-32 2

The vertex of the parabola is at x = 2, with a maximum height of H(2).


Related Questions

The diagram shows the length and width of two boxes of flowers. The length and width of the two boxes of flowers are proportional. What is the length, in inches, of the smaller box of flowers?

Answers

Answer:

I sont know

Step-by-step explanation:

Answer:

4 inches

Step-by-step explanation:

since 5 is half of 10, 4 is half of 8.

What is one-fifth of a number, x, increased by 24 is equal to eight tenths of the same number, x.

Answers

Answer:

x = 40

Step-by-step explanation:

(x × [tex]\frac{1}{5}[/tex] )+ 24 = [tex]\frac{8}{10}[/tex] × x

0.2x + 24 = 0.8x

0.2x - 0.2x + 24 = 0.8x - 0.2x

24 = 0.6x

0.6x = 24

0.6x × [tex]1\frac{2}{3}[/tex] = 24 × [tex]1\frac{2}{3}[/tex]

x = 40

Answer:

x=40

Step-by-step explanation:

1/5x+24=8/10x

give like denominators

2/10x+24=8/10x

subtract 2/10x on both sides

24=6/10x

divide 24 by 6/10, or multiply by 10/6

x=240/6

refine/simplify

x=40

help please , i need it asap ! ty

Answers

Answer:

7.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the one side = 3 and the other side (4.5) is supposed to be the same all it is is 4.5/3 which is 1.5. 1.5 times 5 ( the bottom side) is 7.5! X=7.5

What is the approximate average rate of change for the function f(x)
from x = 3 to x = 6?
12(1.25)

Answers

Answer:

b

Step-by-step explanation:

what is the diameter of a circle with a circumference of 27 centimeters?

Answers

Answer:

diameter = 8.6 cm

Step-by-step explanation:

diameter = 27/π = 8.6 cm

What is 2+2???? very hard question I know that's why I need help.

Answers

Answer:

4

Step-by-step explanation:

Answer:

yes to get this answer u need to use ur brain

take 2 and 2

then see how many are there in all so it's 4

So u should mark me as brainlist

Solve the system of equations 2x - y = 13 and - 3x + 2y = - 18 by combining the equations .

Answers

Answer:

2X-Y = 13

-3X+2Y = -18

(2X-3X-Y+2Y) = 13-18

-X +Y= -5

What integer is the opposite of 32 degrees Celsius below zero?

Answers

Answer:

-32?

Step-by-step explanation:

There are 9 cherry trees in Edgar's orchard, and he wants to plant more. It takes him an hour to plant each tree.
Let h represent the number of hours Edgar spent planting and c represent the total number of cherry trees he will have.

Answers

1: 1

3: 4

5: 9

7: 16

sorry if this doesn't make sense if it does i hope it helped:)

In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?

Answers

Answer:

A is your correct answer.

1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.

Step-by-step explanation:

Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.

Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.

Please let me know if you have questions about this.

Find the area of this triangle.
Round to the nearest tenth.
12 cm
33°
5.5 cm
[?] cm2

Answers

Answer:

1/2 ab sinC =1/2(5.5×12)sin33 = 17.97

Step-by-step explanation:

Put the numbers in the equation ,a calculator will be better.

The area of the triangle is 18.0cm².

What is the sine rule for the area of the triangle?

The sine rule for the area of the triangle is defined as the area of the triangle that can be calculated by the product of the half of the two sides of the triangle and the sine of the angle between the two sides.

Area= Δ= (1/2)*a*b*sinC

where a and b are the length of the side BC and AC respectively. And angle C is the angle between the sides BC and AC.

Here given in the figure the triangle has two sides of lengths 12cm, and 5.5cm.

The angle between the sides is 33°.

Then using the sine rule for the area of the triangle

The area of the triangle= (1/2)*a*b*sinC

=(1/2)*12*5.5*sin 33°

=17.97≅ 18.0 cm²

Therefore the area of the triangle is 18.0cm².

Learn more about the sine rule

here: https://brainly.com/question/27174058

#SPJ2

What is 0.0475 converted to a percentage

Answers

Answer:

0.0475 = 4.75%

Step-by-step explanation:

Answer:

4.75%

Step-by-step explanation:

Look at the decimal number 0.0475 as 0.0475 out of one. Furthermore, percent means per hundred. So the task is to convert 0.0475 out of one to 0.0475 out of one hundred.

The equation to solve the problem is displayed below where x is the 0.0475 as a percentage.

[tex]\frac{0.0475}{1}[/tex]=[tex]\frac{x}{100}[/tex]

We solve the equation for x above by first multiplying each side by one and then multiplying each side by one hundred. Thus, the answer to 0.0475 as a percentage is:  4.75%

How do you know if a number is rational irrational or not real number

Answers

Answer:

A rational number can expressed as a whole number, integer, square root, fraction, and more as long as it's not imaginary. However, the number has to be clean like 1/2=0.5, 1/3=0.333, -1, 200. If it is a number that goes on forever and is not repeated like 1.22222, then it's an irrational number like pie-3.14159..., 5/0, 2.201845. If you have an imaginary number- 6i, then this would be considered as non real numbers like x+2, red, wind, and y/7.

Step-by-step explanation:

I hope this helped you!

Please help, test due in 2 hours! Will give good review and brainliest. :)

Answers

Answer:

224in³

Step-by-step explanation:

Find the volume of the rectangular prism, then subtract the volume of the pyramid from it.

Volume of rectangular prism= (length)(width)height)

=(14)(4)(10)=560in³

Volume of pyramid=((length)(width)height))/3

=((14)(4)(6))=336in³

560in³-336in³=224in³

24 to the second power divided by 47

Answers

12,26 (rounded off to 2 decimals)

Answer:

[tex]\frac{576}{47}[/tex]

Step-by-step explanation:

[tex]24^{2} = 576[/tex], since 47 is a prime number and 576 isn't divisible by it, [tex]\frac{576}{47}[/tex] would be the best answer.

Which term could be put into the blank to create a fully simplified polynomial written in standard form

Answers

Answer:

[tex]x^{2} y^{2}[/tex]

Step-by-step explanation:

The correct term that could be put into the blank would be the first choice which is x to the power of two and y to the power of two.

A jewerler had a fixed amount of gold

Answers

Answer:

ohhhhh and who is the jeweler

-95, -17,-60-90, 67, 74, 27, 70
Mean
Median
Mode
Range
Pls help me atleast just give me the medium

Answers

Answer:

mean:-3

median:5

mode: all values appeared once  

range:169

Step-by-step explanation:

The value of X (click photo)

Answers

Answer:

20°

Step-by-step explanation:

;b

Answer:

x=40

Step-by-step explanation:

The measure of the angle <RTS is half the difference of the measures of the intercepted arcs (mRS and mQP).

<RTS=(1/2)(mQP-mRS)

(x/2)=(1/2)((x+70)-(x+30))

x=x+70-x-30

x=40

Find the volume of the following figure using unit cubes.

Answers

Answer:

Volume : 94

Step-by-step explanation:

2(4 x 5) = 40

2(3 x 5) = 30

2(3 x 4) = 24

------------------

40 + 30 + 24 = 94

Joseph is planning to meet up with his friend Naomi. Joseph jogs from his house traveling at a rate of 4
miles per hour. Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per
hour.
a) Show your solution graphically.
b) How many hours went by before they met?
hours
c) How many miles were they from Joseph's house when they met?
miles
30
25
Joseph

Answers

Answer:

It took 3 hours for the two to meet, and they were 12 miles from Joseph's home when they met.

Step-by-step explanation:

Since Joseph is planning to meet up with his friend Naomi, and Joseph jogs from his house traveling at a rate of 4 miles per hour, while Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per hour, for To determine how many hours went by before they met and how many miles were they from Joseph's house when they met, the following calculations should be performed:

27 - (4 + 5) = 27 - 9 = 18

27 - (4 + 5) x 3 = 0

Therefore, it took 3 hours for the two to meet.

4 x 3 = 12

Thus, they were 12 miles from Joseph's home when they met.

PLSSSS HELP AND NOOOO LINKS OR SPAMMERS!!!! Write the equation of the line for the graph shown below.

Answers

B.None of these answers are correct(Please tell me if you got it right or wrong and I’m so very sorry if you didn’t)

Which number best represents the probability that an event is very unlikely to occur?
A) 1.25
B) 0.50
C 0.97
D) 0.05
Helpppp fastttt

Answers

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣an o⁣⁣⁣nly u⁣⁣⁣pload i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting s⁣⁣⁣ervice. l⁣⁣⁣ink b⁣⁣⁣elow!

bit.[tex]^{}[/tex]ly/3a8Nt8n

? Miss mama just say the answer

WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED

Answers

Answer: 8.6

Step-by-step explanation:

Using pythagorean theorem, c²=a²+b² you can find the distance between AB.

c²=7²+5²

c²=74

√c²=√74

c=8.6

If a truck used 25 gallons to travel 375 mies, how many miles would it travel on 4 gallons of gas?​

Answers

Answer:

93.75 miles if im not mistaken

Step-by-step explanation:

because the most miles is 375 so you would divide that number by four to see how many miles u can go before filling up again.

Answers please and explain

Answers

Answer:

34 divided by pie. so type this in your calculator, 34/3.14 and then theres ur answer when u hit enter

Step-by-step explanation:

type it in the calculator bc i dont have mine rn

Answer:

102

Step-by-step explanation:

Well it says use 3 instead of pi. So (3)(34)

Which is 102

PLEASE HELP ME FAST!!!
The volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches

Answers

Answer:

D. 16 in²

Steps:

given:

V = 32 in³

h = 2

Ab = V/h

Ab = 32/2

Ab = 16 in²

Answer:

D. 16 square inches

Step-by-step explanation:

Hope this helps

Four friends share 3 sheets of construction paper equally. What fraction
of a sheet of paper does each friend get?

Answers

Answer:

0.75 or 3/4 sheet of paper

Answer:

3/4 of each sheet

Step-by-step explanation:

You have to divide the number of sheets of paper by the number of people sharing them, which gives you 3/4. This makes sense because if there are more people than paper, each person will get less than a full sheet.

kim's scores in the diving competition were 7,2, 6.975, 8.0 and 6.96 what is her total score

decimal​

Answers

Answer:

8.0

Step-by-step explanation:

Solve the following equation: 8x + 6 + 3x - 4
Please hurry.

Answers

Answer:

A

Step-by-step explanation:

x = -2

Answer:

x=-2

Step-by-step explanation:

I would put steps, but it sounds like your in a hurry, so there is the answer, if you want, I can put the steps in the comments

But yeah

If that helps, plz mark brainiest, i'm almost leveled up :3

Thanks!

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