A soccer ball is punted in the air. Its height after x seconds can be modeled by a quadratic function. The soccer ball reaches its maximum height of 85 feet after 3 seconds. The ball is trapped at a height of 2.5 feet, 6 seconds after being kicked. Write a quadratic function that models the height of the soccer ball, x seconds after being kicked.

Answers

Answer 1

Answer:

[tex]-9.31x^2+56.26x[/tex]

Step-by-step explanation:

Let the quadratic function be:

[tex]h=ax^2+bx+c[/tex]

Where [tex]h[/tex] is the height of soccer ball and

[tex]x[/tex] is the time in seconds.

Initially, at time [tex]x=0\Rightarrow h=0[/tex]

Therefore, [tex]c=0[/tex]

Given that,

[tex]x=3, h=85\\and\\x=6, h=2.5[/tex]

Putting the values and making equations in [tex]a,b[/tex] :

[tex]85=9a+3b\\2.5=36a+6b[/tex]

By solving the above equations, we get:

[tex]a=-9.31\\ and\\b =56.26[/tex]

So, the quadratic expression is:

[tex]-9.31x^2+56.26x[/tex]


Related Questions

How do u find the volume of rectangular brick?

Answers

Answer:

the answer is to use the formula lxwxh or length x width x height

-20x + 27? Can anyone

Answers

Answer:

-20x + 27

Step-by-step explanation:

it will remain the same

Answer:

you cant simplify or factorise it.

Please classify the following equations as parallel, perpendicular, intersecting, or coinciding (same line):

y = 3x + 2

9x - 3y = -6

Answers

Answer:

Intersecting

Step-by-step explanation:

Parallel lines means it will have the same slope, and perpendicular means the slope will be it's reciprocal, so the slope would be 1/3 x instead of 9x. Conciding means it's the exact same equation, so the answer has to be intersecting.

4
Is this number rational or irrational? *
(5 Points)
2.49
Rational
Irrational

Answers

Rational because every whole number is rational
The answer is rational

What is the value of x?​

Answers

Answer:

x = 98

Step-by-step explanation:

x = 53 + 45

x = 98

note: the measure of an ext. angle of a triangle is equal to the sum of the two non-adjacent interior angles.

Answer:

98

sum of angle in this triangle = 180

180-(53+45) = 82

so, the third angle is 82 degrees.

moving forward, the third angle (82 degrees) and angle x are straight line angle,

therefore, x + 82 = 180

x =180-82

x=98

help me with number one

Answers

Answer:

C. √5

Step-by-step explanation:

The answer is c ok
Step by step equation

The number of people who attend a concert varies directly with the amount of money spent on advertising. If 790 tickets are sold when $2,547.75 is spent on advertising, how much money needs to be spent on advertisements to get a sellout crowd of 1500?

Answers

Answer:

$4837.5

Step-by-step explanation:

Given that,

790 tickets are sold when $2,547.75 is spent on advertising.

We need to find the money to be spent on advertisements to get a sellout crowd of 1500.

It is also mentioned that the number of people who attend a concert varies directly with the amount of money spent on advertising. Let money be x. So,

[tex]\dfrac{790}{2547.75}=\dfrac{1500}{x}\\\\x=\dfrac{2547.75\times 1500}{790}\\\\x=\$4837.5[/tex]

So, $4837.5 is spent on advertisements to get a sellout crowd of 1500

Please help!
A factory used 72kg of tomatoes to make 8 batches of pasta sauce .
what quantity of tomatoes did the factory put in each batch?

Answers

88888888888888888888888888

Speed of Cart Over Time
35
30
25
20
Speed (miles per hour)
15
10
5
1 2 3 4 5 6 7 8
Time (minutes)
At approximately what time did the speed of the cart begin to decrease?

Answers

Step-by-step explanation:

OMG!!??!!?? SCIENTISTS TRANSFORM 6IX9INE INTO A RAT?!??????!!?! LOOK AT HIM!!!!!!!!

I promise this the last one but how do you do these type of problems?

Answers

Answer:

0.96 + 0.43v

Step-by-step explanation:

You simplify, v and -0.57v are like terms, therefore you can add them together

v - 0.57v = 0.43 v

Answer:

0.96 + 0.43v

Step-by-step explanation:

What you are doing is combining like terms. Let's say v is candy I have v - .57v that means I have one candy and I ate .57 of it already so we subtract to get .43v and the .96 is brussel sprouts. We do NOT want to mix the candy and the brussel sprouts because they are different things.

If you need me to explain more let me know, but hopefully this helps and have a great day!

Bertha's chocolate factory is expanding. She wanted to know how many workers she needs to produce chocolate bars. The following table lists a certain number of workers and the corresponding amounts of chocolate bars they produce.

True or False: The relationship between the number of workers and the number of bars produced is proportional.



workers: bars:
10 35
20 70
40 140
80 280
160 560

Answers

True, each number is getting doubled, both sides are proportionally staying the same.
It’s true because the factor is *2 for both
If u multiply the number of workers or bars it steadily increases by multiplying is by 2

A string measures 30 centimeters. About how many inches long is the string?
A. 11

B. 11.8

C. 15

D. 20

Answers

Answer:

B

There are 2.54 centimeters to every inch.

30/2.54 is 11.8

The length of the string in inches in 11.8.

In order to determine the length of the string in inches, the unit of conversion of centimeters to inches have to be first determined. 1 centimeter is equivalent to 0.393701 inches.

1 cm = 0.393701 inches

The second step is to multiply the length of the string in centimeter by the unit of conversion.

Length of string x unit of conversion

30 x 0.393701

= 11.8 (to one decimal place).

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It cost $72 for 16 square feet of flooring. How much does it cost for 12 square feet of flooring?​

Answers

Answer: It would cost $54

Polygon H is a scaled copy of Polygon G using a scale factor of 1/4


Polygon H's area is what fraction of Polygon G's area?


Whats the answer

Answers

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

Given the scale factor 1 : 4 , then

the area factor = 1² : 4² = 1 : 16

That is area of polygon H is [tex]\frac{1}{16}[/tex] area of polygon G

Is square root of 10 greater than, less than, or equal to 5?

Because 10 lies between two consecutive perfect squares (in increasing order), _______ and ______, 10−−√ is located between the square roots of these two numbers. This means that 10−−√ is located between ______ and _____ , so 10−−√ is less than 5.

Answers

Answer

5.0/5

9

erinna

Ace

3.9K answers

12.8M people helped

Given:

The number is .

To find:

The correct values for each blank.

Solution:

The given number is .

We know that, 10 lies between two consecutive perfect squares 9 and 16, . repeating is located between the square roots of these two numbers.

This means  repeating is located between 3 and 4.

So,  repeating is less than 5.

Therefore, Blank-1=9, Blank-2=16, Blank-3=3 and Blank-4=4.

The number √10 is less than 5.

Because 10 lies between two consecutive perfect squares 3 and 4.

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The number is √10.

Now,

The value of √10 = 3.16

Which is less than 5.

Hence, 3.16 < 5

Since, The value of 3² = 9

And, The value of 4² = 16

Thus,

3² < 10 < 4²

So, The number √10 is less than 5.

Because 10 lies between two consecutive perfect squares 3 and 4.

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- 3x + 9 - 4 = x + 3 + 2x​

Answers

-3x + 9 - 4 = x + 3 + 2x
-3x + 9 - 4 = 3x + 3
9 - 4 = 6x + 3
5 = 6x + 3
2 = 6x
1/3 = x

✩ Answer:

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  [tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]

✩ Step-by-step explanation:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

✺ Subtract [tex]4[/tex] from [tex]9[/tex] to get [tex]5[/tex]:

[tex]-3x+5=x+3+2x[/tex]

✺ Combine [tex]x[/tex] and [tex]2x[/tex] to get [tex]3x[/tex]:

[tex]-3x+5=3x+3[/tex]

✺ Subtract [tex]3x[/tex] from both sides:

[tex]-3x+5-3x=3[/tex]

✺ Combine [tex]-3x[/tex] and [tex]-3x[/tex] to get [tex]-6x[/tex]:

[tex]-6x+5=3[/tex]

✺ Subtract [tex]5[/tex] from both sides:

[tex]-6x=3-5[/tex]

✺ Subtract [tex]5[/tex] from [tex]3[/tex] to get [tex]-2[/tex]:

[tex]-6x=-2[/tex]

✺ Divide both sides by [tex]-6[/tex]:

[tex]x=\frac{-2}{-6}[/tex]

✺ Reduce the fraction [tex]\frac{-2}{-6}[/tex]  to lowest terms by canceling out the common factor, [tex]-2[/tex]:

[tex]x=\frac{1}{3}[/tex]

     

       -OR-

✺ Reduce the fraction [tex]\frac{-2}{-6}[/tex]  to lowest terms by dividing the numerator and denominator:

[tex]x=0.333333333[/tex] (This is a repeating decimal.)

✩ Answer:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

✺ Decimal Form: [tex]x=\frac{1}{3}[/tex]

✺ Fraction Form: [tex]x=0.333333333[/tex]

[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]

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what is the given domain for this
y=-2+2

Answers

Answer:

Y = 0

Step-by-step explanation:

Y = -2 + 2

Negative 2 plus 2 equals zero, there is no more numbers so Y = 0.

help pls just one question !!!

Answers

Answer:

  t > 30

Step-by-step explanation:

In terms of t, Lena's exercise time can be described by "t is more than 30". In math terms, that's the same as "t is greater than 30":

  t > 30

Answer:

T>30

Step-by-step explanation:

Time is more then 30

She exercise more than 30 minutes per day.

What is the difference
between an ordered
pair and coordinates?

Answers

Answer:A coordinate system is a two-dimensional number line

Step-by-step explanation:

A coordinate system is a two-dimensional number line, for example, two perpendicular number lines or axes. An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x,y

The difference between an ordered pair and coordinates will be;

''Coordinates are used in geometry, and when there are two coordinates, they are ordered pairs when both component are of the same type.''

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

There are an ordered pair and coordinates.

Now,

The difference between an ordered pair and coordinates will be;

''Coordinates are used in geometry, and when there are two coordinates, they are ordered pairs when both component are of the same type.''

And, An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of

(a, b) and a coordinate system is a two-dimensional number line.

Thus, The difference between an ordered pair and coordinates will be;

''Coordinates are used in geometry, and when there are two coordinates, they are ordered pairs when both component are of the same type.''

Learn more about the coordinate visit:

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Eugene borrows $250 at a 4% annual interest rate. If he does not make any payments, how much simple interest will he owe in 18 months?

Answers

Answer: He will owe 258.47

Whats the answer of this problem?​

Answers

Answer:

5b-24

Step-by-step explanation:

ABF is the total angle for this equation. In order to find EBF, all you need to do is subtract ABE from the total, so the equation would be:

(7b-24) - 2b = 5b-24

hope this helps you!! <3

Find the area of a circle with a radius of 4 feet. Use 3.14 for Pi

Answers

the area of a circle with a radius of 4 is 157.7536

I need the answers ASAP show work pleas

Answers

Answer:

1. 0.4

2. 2.67

3. 13/20

4. i thinks it's 2 i could be wrong lol

Step-by-step explanation:

Answer:

1.) 0.4  

2.) 2.6 with bar notation

Step-by-step explanation:

1.) divide 2 with 5

2.) turn it to a improper fraction and divide 8 with 3

Help me with this problem

2x-18=-10

Answers

Answer:

Step-by-step explanation:

18 is negative so add 18 to both sides

2x=8

so the answer would be 4 because

4 x 2= positive 8

hope that helped!!

What is the area, in square units, of a triangle with vertices at (-1,-1), (3,-1), (2,2) PLEASE HELP

Answers

Step-by-step explanation:

A=½bh

A=½(4•3)

A=½(12)

A=6 units sq

find the x intercept x-y=-1

Answers

x-y=-1
subtract x from both sides
-y=-x-1
divide the coefficient which is -1
y=x+1

what is the answer to this

Answers

Answer:

19

Step-by-step explanation:

Add up all the numbers:

3,2,2,2,1,1,1,4,2,1

Then you get 19.

Or you can say it as

3^2 + 2^4 + 1^4 + 4

What is the value of the expression below when y = 5?
10y + 6

I don’t understand this at all

Answers

Answer:

56

Step-by-step explanation:

10y+6

10(5)+6

10*5=50

50+6=56

Answer:

Basically, you need to plug 5 in as y

Step-by-step explanation:

First, plug 5 in the place of Y 10 * 5 + 6

Then solve the equation from there.

10 * 5 = 50

50 + 6 = 56

What is 1/8(2-x) -2/3( x - 3/4) + 2x = 13

Answers

Answer:

x=10[tex]\frac{4}{29}[/tex]

Step-by-step explanation:

Answer:

x=294/29

Step-by-step explanation:

u simplify and u get

3(2-x)-16(x-3/4)+48x=312

which is

29x+18=312

then u simplify it again

29x=294 which u get

x=294/29

Complete the inequality.

(-1/9)(3/5) ___ -2/15

>
<
=

Answers

Answer:

I think it is (-1/9)(3/5)>-2/15

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