Mathematics High School

The height, h, in feet of a ball above the ground is given by h= -16t^2+64t+80, where t is the time in seconds. How long does it take the ball to hit the ground?

A) 3 seconds
B) 4 seconds
C) 5 seconds
D) 6 seconds

Answers

Answer 1

Answer:

It is 5 seconds     option C

Step-by-step explanation:

When the ball would hit the ground, h would reduce 0.

We can equate the R.H.S to 0.

∴ 0= -16t²+64t+80

0 = t² - 4t - 5              (dividing both sides by -16)

0 = t²+t - 5t -5  (by splitting the middle term)

0 = t ( t+1) -5 (t+1)

0= (t-5) * (t + 1)

when t-5=0   ;   when t+1=0

t =5           ;          t= -1                    time cannot be -ve

∴ t= 5 seconds

Hope this helps you.

Answer 2

Answer:

C)  5 seconds

Step-by-step explanation:

Given equation:

[tex]h=-16t^2+64t+80[/tex]

where:

h = height of a ball above the ground (in feet).t = time (in seconds).

The ball hits the ground when the height is zero.  

Therefore, substitute h = 0 into the given equation and solve for t.

[tex]\begin{aligned}\implies -16t^2+64t+80 & = 0\\-16(t^2-4t-5) & = 0\\t^2-4t-5 & = 0\\t^2-5t+t-5&=0\\t(t-5)+1(t-5)&=0\\(t+1)(t-5)&=0\\\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies t+1=0 \implies t=-1[/tex]

[tex]\implies t-5=0 \implies t=5[/tex]

As time cannot be negative, t = 5 only.  

Therefore, it takes 5 seconds for the ball to hit the ground.

Related Questions

I'll give you BRAINEST please help please plz​

Answers

The 2nd option does not represent a function.

A function is a relation in which no two ordered pairs have the same first component and different second components.

We need to ask ourselves, does every first element (or input) correspond with EXACTLY ONE second element (or output)? 

In this case, the answer is no.  The input value of 1 goes with two output values, -1 and -5.   The same goes with the input value of 2, which also goes with two output values: -2 and -4.

It only takes one input value to associate with more than one output value to be invalid as a function.

I also did the Vertical Line Test to show why Option 2 is not a function. The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

However, the graph shows that the two vertical lines crossed the graphed twice (there are 2 points in each line). The graphed points failed the vertical line test. Therefore, Option 2 is NOT a function.

Please mark my answers as the Brainliest if you find my explanations helpful :)

Please help me with this question is 8 grade question​

Answers

Answer:

a, -4.5

Step-by-step explanation: I should now I am in 10th grade math

HELP LIKE ASAP! YOU'LL GET BRAINLIEST IF YOU'RE CORRECT! :)

Answers

Answer:

V would be at (-4,5)

U would be at (-4,7)

T would be at (-9,7)

Answer:

V: (-4,5) U: (-4,7) T: (-9,7)

Step-by-step explanation:

reflect the shape across the x axis like a mirror

Hope this helps :)

How do you get 60cm2 in question 1?

Answers

Answer:

Step-by-step explanation:

4*2=8, thats one rectangle (side)

8*2 is 16, thats TWO rectangles (sides)

7*4=28, thats one rectangle (front)

28*2=56, thats TWO rectangles (front and back)

7*2=14, thats one rectangle (top)

14*2=28, thats TWO rectangles (top and bottom)

add all of these surface areas together

TWO rectangles + TWO rectangles + TWO rectangles

28+56+16=100

As you can see, the 60cm2 is incorrect. 100cm2 is the real surface area of the shape

what is 6+6 i need the answer fast

Answers

Answer:

Step-by-step explanation:

12

What is quivalent to 5/8?

Answers

Answer:

10/16 is also equivalent

Answer:

0.625

Step-by-step explanation:

All you have to do is put it in decimal form.

Richard and Teo have a combined age of 31. Richard is 13 years older than twice​ Teo's age. How old are Richard and​ Teo?

Answers

Answer:Teo is 6 and Richard is 25

Step-by-step explanation:  Let R and T stand for Richard and Teo's ages.  We are told:

R+T=31

R=2T+13

Substitute:  

R+T=31

2T+13+T=31

3T+13=31

3T=18

T=6  

Since R+T=31, R+6=31, and R = 25

PLS HELP ASAP!

Masha bought red, green, and yellow balloons for a party. She bought 40 red balloons. The number of green balloons Masha bought is 3/5 of the number of red balloons. The number of green balloons is also 2/3 of the number of yellow balloons. while being inflated, 1/20 of the red balloons, 1/12 of the green balloons, and 1/36 of the yellows balloons popped. The remaining balloons were used as decoration. What part of all the balloons Masha purchased to decorate the party?

Answers

Answer:

95 balloons

Step-by-step explanation:

red = 40

green- 40x(3/5) = 24

yellow- 24÷(2/3) =36

36× (1/36) = 1. 1 yellow balloon popped

24× (1×12) = 2. 2 green balloons popped

40×(1/20) =2. 2 red balloons popped

40+24+36= 100

2+2+1=5

100-5 = 95 balloons left for decorations

If ΔFGH ≅ ΔIJK, which segment is congruent to segment FG?

segment HF
segment JK
segment IJ
segment GH

Answers

I’m pretty sure it’s segment HF

Answer:

HF for shoo

Step-by-step explanation:

Allison and Lindsey each measured their bedrooms for new carpeting. They found
that both rooms were square, with the length of Lindsey's room 3 feet longer than
Allison's. If Lindsey needed 225 square feet of carpeting, how many square feet of
carpeting did Allison need?

Answers

Answer:

Step-by-step explanation:

Let's assume that the length of a side of Allison's room as x

So, Lindsey's room = x + 3

If Lindsey's room needs 225 sq. feet of carpeting, then   x + 3 = [tex]\sqrt{225}[/tex]

So, x + 3 = 15

Therefore, x = 15 - 3 = 12 ( So, Allison's room has a side of length 12)

Therefore, the carpeting needed = 12 × 12 = 12² = 144 sq. feet

There's your answer!

What is the difference between a linear function and a non linear function?

Answers

Answer:

A difference is that a linear line is straight and a non linear is not

Determine the slope of the line given two points (-3 -1) and (5,-5

Answers

Answer:

-1/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - (-1) / 5 - (-3)

-4/8

= -1/2

Can you help me please

109% of 11

Answers

Answer:

11.99

Step-by-step explanation:

I need this one quick it depends on my first grade for this quarter, What is the equation of the line that passes through the points (4, 15) and (0, 3)?
A.
B.
C.
D.

Answers

Answer:

y=3x+3

Step-by-step explanation:

Can someone help me do this

Answers

Answer:

6

Step-by-step explanation:

Find the missing angle:

180⁰ - 82⁰ = 98⁰

Find the sum of the angles given without the missing angle:

180⁰ - 98⁰ = 82⁰

The sum of both the angles is 82⁰

Write an equation:

5x + 8 + 6x + 8 = 82⁰

Collect the like terms together

11x + 16⁰ = 82⁰

Subtract 16⁰ from both sides

11x = 66⁰

Divide by 11 on both sides

x = 6⁰

A cab company charges $7 boarding fee in addition to its meter which is $4 for every mile. The equation of the line that represents this cab company's rate is:
a. y = 4x + 7
b. y = 7x + 4
c. y = 4x - 7
d. y = 4x + 6 ​

Answers

Answer:

A

Step-by-step explanation:

y=4x+7

A real estate agent earns 6% of the selling price of each house he sells. If she sells a home for $250,000, how much of a commission will she make?

Answers

Answer:

$15,000 commission total revenue

Step-by-step explanation:

250000 x 0.06 = 15000

= $15,000

Approximate the length of the diagonal of the rectangle to the nearest tenth. The sides are 10 and 18

Answers

Answer:

20.59

Step-by-step explanation:

(-15x + 21y) divide by 3

Answers

Hey! Your answer to this would be -5x + 7y

What is the average rate of change from x = 4 to x= 7

Answers

Three the answer is three

a square has a perimeter of 72 units. if its length measures 3y and its width measures 2x, what is the area of the square

Answers

Answer:

324

Step-by-step explanation:

square has 4 sides.

perimeter adds all sides to make 72

72/4=18 units each side

length * width =area of square

square has all sides equal, so 3y and 2x are tricks to confuse. All sides are 18.

18*18= 324

Compare the values 4x107 is what times as much as 4x103

Answers

Answer:

[tex]10^{4}[/tex]

Step-by-step explanation:

4 x 10^7 is 40000000

4 x 10^3 is 4000

We are told that 4x10^7 is something times as much as 4x10^3

So we will work backwards to find the answer,

If you divide 40000000 by 4000 you will get 10000

10000 is the same as 10^4

Answer:

10^4

Step-by-step explanation:

10^7-3

Hahaha that's all

3.9 in fration form in fration

Answers

Answer:  39/10          

Step-by-step explanation:

Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

3.9

1

= (3.9 × 10)

(1 × 10)

= 39/10

find the slope of -3/5x-1

Answers

Slope is -3/5x in this equation

eight hundred thirty four thousandths in decimal form:

Answers

0.834 here is the answer

The given number can be written as 0.834 in decimal form.

What is a decimal form?

"Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point."

Given number is eight hundred thirty four thousandth.

Here, thousandth is  represented as [tex]\frac{1}{1000}[/tex].

Therefore, in decimal form the given number can be written as

[tex]\frac{834}{1000} \\= 0.834[/tex]

Learn more about decimal form here:

https://brainly.com/question/229559

#SPJ2

6d+8=3d+1 solve for the value of d

Answers

Answer:

-7/3

Step-by-step explanation:

6d + 8 = 3d + 1 (subtract 3d from both sides)

3d + 8 = 1 (now subtract 8 from both sides)

3d = -7 (divide both sides by 3)

d = -7/3

Answer:

Step-by-step explanation:

6d+8=3d+1

3d+8=1

3d=-7

D=-7/3

Answer this for likes and a crown

Answers

Answer:

The unit cost is 25 cents for 1 oz of cereal, because 4/16 = 1/4, convert to cents.

Hope this helps and have a nice day:)

Step-by-step explanation:

Answer:

Your answer should be the 3rd one.

Step-by-step explanation:

Which number line shows the solution to 6+ -6

Answers

Answer:

Is there any pictures to go with the question?

Step-by-step explanation:

1.21 rounded to the nearest whole number​

Answers

1.2

1 is the whole number and to round you look one place over, in this case the number one over to the left if 2. If the number to the left is 5 or more you “raise the score” making the number your rounded go up one. If the number is 4 or less, you “let it rest” meaning the number stays the same. Once you round, you drop every number behind the number you used to round. So instead or 1.21 it’s 1.2

please show work tyvm 4+3x6x(4-3³)²

Answers

Answer:

9526

Step-by-step explanation:

simplify 3^3+27

4+3*6(4-27)^2

simplify: 4-27+ -23

4+3*6(-23)^2

since the power of 2 is even it will be a positive

4+3*6*23^2

simplify: 23^2 to 529

4+3*6*529

simplify 3*6 to 18

4+18*529

then simplify 18*529 to 4+9522

and 4+9522= 9526

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