The function h(t)=-16t^2+75t+80 models the height in feet, h, of a ball as it is thrown into the
air at time, t, in seconds. At which of the following times will the ball be 124 feet above the
ground?

Answers

Answer 1

Answer:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

Step-by-step explanation:

[tex]124 = -16t^2+75t+80\\-16t^2+75t-44=0[/tex]

Solving for t using the quadratic formula we get:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

Answer 2

The times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

What is meaning of the term function?an expression, rule, or law defining a connection between one variable (a independent variable) and the other (the dependent variable). Functions are common in mathematics and are required for the formulation of actual relationships with in sciences.

The function given for the height of the ball thrown is;

h(t) = -16t^2+75t+80

In which, h is the  height in feet,

t, is the time till ball is in air( in seconds. )

When height h = 124 feet.

Time t = ?

Put h = 124 in the given equation.

124 =  -16t^2+75t+80

On solving.

-16t^2+75t-44 = 0.

16t^2 - 75t + 44 = 0.

Solve the quadratic equation by the quadratic formula,

t = 4 and t = 0.68 seconds.

Thus, the times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

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Related Questions

Name the integer that is 2 more than the opposite of -4.

Answers

Answer:

6

Step-by-step explanation:

the opposite of -4 is 4 and then add 2

Answer:

Yeah 6

Step-by-step explanation:

Exact same steps as the person above :)

Good luck!!

Tabitha's grandmother lives 5 miles from Tabitha's house. How many kilometers does
Tabitha's grandmother live from Tabitha's house? Use a ratio to find the solution. (Use 1 mile =
1.61 kilometers)
PLEASE NO LINK

Answers

Ok, just do 1.61 times 5

find the volume of the shape.

Answers

Answer:

70148.06

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

10x90=900

so the answer is 900

2-(x+1)/(x-2)-(x-4)/(x+2)can be written as a single fraction in the form (ax+b)/(x^(2)-4) where a and b are intergers

Answers

Answer:

a = 3, b = -18

Step-by-step explanation:

You can start by getting a common denominator in the fractions [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex]. You can multiply the first one by [tex]\frac{x+2}{x+2}[/tex] to get [tex]\frac{(x+2)(x+1)}{x^2-4}[/tex]and you can multiply the second by [tex]\frac{x-2}{x-2}[/tex] to get [tex]\frac{(x-4)(x-2)}{x^2-4}[/tex]. You can simplify the fractions:

[tex]\frac{(x+2)(x+1)}{x^2-4}[/tex] - [tex]\frac{x^2+3x+2}{x^4-4}[/tex]

[tex]\frac{(x-4)(x-2)}{x^2-4}[/tex] - [tex]\frac{x^2-6x+8}{x^2-4}[/tex]

Now we can rewrite the equation:

[tex]2-\frac{x^2+3x+2}{x^2-4} -\frac{x^2-6x+8}{x^2-4}[/tex]

and combine the terms with the same denominator:

[tex]2+\frac{-x^2-3x-2-x^2+6x-8}{x^2-4}[/tex]

[tex]2+\frac{-2x^2+3x-10}{x^2-4}[/tex]

Now, to add the two into the fraction, we multiply it by [tex]x^2-4[/tex] to get [tex]2x^2 - 8[/tex].

[tex]\frac{2x^2-8-2x^2+3x-10}{x^2-4}[/tex]

And simplify:

[tex]\frac{3x-18}{x^2-4}[/tex]

a = 3, b = -18

The value of the integers a and b are 3 and - 18 respectively.

What do you mean by algebraic expressions ?

Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.

Firstly , let's find out a common denominator in the fractions , [tex]\frac{x+1}{x-2}[/tex] and [tex]\frac{x-4}{x+2}[/tex] .

The first one can be written as :

= [tex]\frac{x+1}{x-2}[/tex] × [tex]\frac{x+2}{x+2}[/tex]

= [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex]

and the second one can be written as :

= [tex]\frac{x-4}{x+2}[/tex] × [tex]\frac{x-2}{x-2}[/tex]

= [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]

The expression will be :

= 2 - [tex]\frac{x+1}{x-2}[/tex] - [tex]\frac{x-4}{x+2}[/tex]

= 2 - [tex]\frac{(x+1)(x+2)}{x^{2} - 4}[/tex] - [tex]\frac{(x-4)(x-2)}{x^{2} - 4}[/tex]

= [ 2 (x²- 4) - (x+1) (x+2) - (x-4) (x-2)]/ [(x²- 4)]

= [2x² - 8 - x² - 3x - 2 - x² + 6x - 8] / [(x²- 4)]

By simplifying it , we get :

= [tex]\frac{3x-18}{x^{2} - 4}[/tex]

If we compare it with the given form which is [tex]\frac{ax + b}{x^{2} -4}[/tex] we get :

[tex]\frac{3x-18}{x^{2} - 4}[/tex] = [tex]\frac{ax + b}{x^{2} -4}[/tex]

or

3x - 18 = ax + b

or

The values of a and b are :

a = 3 and b = -18.

Therefore , the value of the integers a and b are 3 and - 18 respectively.

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Solve 5x Divide 6 = 20.
The solution is x =____?

Answers

Answer:

69

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

[tex]\frac{5x}{6} = 20\\5x = 120\\x = 24[/tex]

Only answer if you're sure you have the correct answer for this problem, please solve correctly.

Answers

Answer:

first option: m= 532 - 57h

Step-by-step explanation:

comment if u need explanation :)

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Answers

Answer:

7x^5

Step-by-step explanation:

just is

Answer:

The answer is -[tex]-7x^{2}[/tex]

Step-by-step explanation:

By finding alike terms and combing them, you can figure out that -[tex]-7x^{2}[/tex] is the correct answer.

Select the correct answer from each drop-down menu.
The director of a community playhouse developed the function (1) = 40t to model the total revenue from ticket sales when t tickets are sold.
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Answers

C I just did the same answer

Answer:

dependent & changes by a constant rate

Step-by-step explanation:

dependent because it involves something that involves something else

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explaining.

mark brainiest

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Answers

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105.6ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

P = 4s

P = 26.4 x 4

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If Johnny borrowed $1,300 for 5 years on a 7% interest rate, how much interest will Johnny have to pay total?

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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sin x = 80/100

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Answers

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Answers

30+20i/1+5i is equal to 30+25i. The answer is 30+25i

Thomas paid $4.25 for three apples and four oranges. Five apples and two oranges cost Casey $4.75. Let x represent the number of apples and y represent the number of oranges.

Which system of equations represents this situation?

A
$~3x+4y=4.75~$
$~5x+2y=4.25~$
B
3x+4y=4.25

5x+2y=4.75

C
4x+3y=4.75

2x+5y=4.25
D
4x+3y=4.25

2x+5y=4.75

Answers

B
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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

4 hours

Step-by-step explanation:

Cost of renting a bike at Oceanside Bike Rental Shop = 18 + 8x

Where,

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C = 18 + 8x

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Answers

Answer:

Triangles ABC and ADC are congruent because they all have the same angles. AC bisects angle A which means that both triangles have the same angle measurement. C is a 180 degree angle and is bisected, meaning that both angles created are 90 degree angles and thus the same degree measurement.

Another reason why they are congruent is because the sides are equal. AB and AD are the same length because the picture shows a singular line on both sides meaning they are the same. The height of both triangles are the same because they share a height. BC and CD are the same length because AC is bisecting BD, meaning both sides are equal in length. Thus, both triangles have the same side measurements.

Answer:

yes it's all correct good luck

-6 ( x – 8) = 60
Show steps

Answers

Answer:

-6(x-8)=60x-8= -10x= -10+8x= -2

hope it helps...

Answer:

-2

Step-by-step explanation:

-6 ( x - 8) = 60

• divide -6 on both sides

-6 and -6 cancel out and 60 ÷ -6 = -10

• your new equation is now x - 8 = -10

• add 8 to both sides x - 8 = -10

+8. +8

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One ticket will be drawn from a total of 200. If Maureen has 4 tickets what is the probability she will win?

Answers

Answer:

50

Step-by-step explanation:

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Answers

Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

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Answer:

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Step-by-step explanation:

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Answer:

B, rhombus and rectangle

Step-by-step explanation:

Why?

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