A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent?

t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground.
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.
t = 1.5; It takes the ball 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

Answers

Answer 1

Answer:

The function  is a parabola of the form . The the formula for the axis of symmetry of a parabola is. So it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

Answer 2

Answer:

D. it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.


Related Questions

Expand and simplify
(4 + 2)(6-2)
Give your answer in the form b+ CV 2​

Answers

Answer:

(4+2)(6-2)

24+8+12-4

44-4

40

Answer:

youre welcome- have a nice day

Step-by-step explanation:

If a1=10 and an=an-1+4 then find the value of a5

Answers

Answer:

26

Step-by-step explanation:

Each term is the previous with 4 added to it.

a1 = 10, a2 = 14, a3 = 18, a4 = 22, a5 = 26

The value of [tex]a_{5}[/tex] will be equal to 26 .

It is given that [tex]a_{1}[/tex]= 10 and [tex]a_{n} = a_{n-1} + 4[/tex].

We have to find the value of [tex]a_{5}[/tex].

What do you mean by sequences ?

Sequences are a list of numbers which are arranged in a special manner i.e., 2 , 4 , 6 , 8 numbers of this sequence gets increased by 2 every time.

As per the question ;

The first term ;  [tex]a_{1}[/tex]= 10

and given ;

[tex]a_{n} = a_{n-1} + 4[/tex]

So ;

2nd term will be ;

[tex]a_{2} = a_{1} + 4[/tex]

[tex]a_{2}[/tex] = 10 + 4

or

[tex]a_{2}[/tex] = 14

Now ;

3rd term will be ;

[tex]a_{3} = a_{2} + 4[/tex]

[tex]a_{3} = 14 + 4[/tex]

[tex]a_{3}[/tex] = 18  

Hence , the common difference is d = 4.

So ;

4th term will be ;

[tex]a_{4}[/tex] = 18 + 4

[tex]a_{4}[/tex] = 22

and

5th term will be ;

[tex]a_{5}[/tex] = 22 + 4

[tex]a_{5}[/tex] = 26

Thus , the value of [tex]a_{5}[/tex] will be equal to 26 .

To learn more about sequences click here ;

brainly.com/question/23638414

#SPJ2

A hotel currently has enough room to accommodate at most 200 guests per night. It plans to expand its capacity by 12 guests every year. To make a profit, the hotel must have at least 40 guests staying in the hotel. The hotel manager expects that threshold to increase by 10% every year.

The manager modeled this situation with a system of linear inequalities, where x is the time from today, in years, and y is the number of guests. Which ordered pairs represent viable solutions of this system?

Answers

Answer:

(20,280) and (10,300)

Step-by-step explanation:

It was the correct answer on the practice question

Answer:

Edmentum/Plato

How do you identify the bases of any prism?

Answers

Answer:

Look at the names of the prisms above. Each type of prism is named after its base. In the figure on the left, the base is a rectangle, so it is called a rectangular prism. In the middle, the base is a triangle, so the shape is a triangular prism.

Step-by-step explanation:

Solve for w,x,y and z

Answers

Answer:

Step-by-step explanation:

2y - 6 + y = 180   {Co-interior angles}

3y - 6   = 180

      3y = 180 + 6

     3y = 186

       y = 186/3

       y = 62

y + w = 180     {Linear pair}

62 +w = 180

       w = 180 - 62

        w = 118

ΔILK ,

∠L +  ∠ I + ∠K = 180  {Angle sum property of triangle}

w + z + 30 = 180

118 + z + 30 = 180

     z +  148  = 180

               z =180-  148

                z = 32

x = z    {Alternate interior angles}

x = 32

help me pls this is 8th grade math fastest answer gets brainliest show work pls

Answers

Answer:

10/10 = 1

x2/x2 = 1

x3/x3 = 1

10 raise to power 4/ 10 raise to power 2 = 10 raise to power 2

5  raise to power 5/ 5 raise to power4 = 5

x  raise to power 7/ x raise to power 5 = x  raise to power2

Step-by-step explanation:

I hope this helps a little bit.

y= 5x + 13
and
y= x + 45

Answers

Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

y=5x+13y=x+45

Find x:

the two equation, the x and are breaked apart..so find a number that they can both equal to together and has the same y. multiply by 8..[tex]5[/tex]·[tex]8=40[/tex] combine the terms for x and 13[tex]40+13=53[/tex] since x is 8 then if we add 8 with 45 it should be 53...[tex]8+45=53[/tex]

y is:

this means that y=53.

Therefore, x=8 and y=53..

Add or Subtract to simplify

Answers

Answer:

-5x^5 + 2x^3 - 6x should be your answer

The veterinarian weighed Oliva's new puppy, Benz, on a defective scale.
He weighed 24 pounds. However, Boaz weighs exactly 26.75 pounds.
What is the percent of error in measurement of the defective scale to
the nearest tenth?
Your answer



Help plss

Answers

Answer:

[tex]\boxed{x = 10.28 \%}[/tex]

Step-by-step explanation:

[tex] \frac{(26.75)x}{100} = 2.75 \\ \boxed{x = 10.280373832}[/tex]

Help it says to make a triangle and I don't know wut I'm doing wrong. I already got (6,4) like a lot of ppl said but it still says I'm wrong.

Answers

Answer:

this is pythagorus theorem

the height is 7,2

the distance is d

d^2 = 5^2 + 4^2

hope this helps

The endpoints of a line segment are located at (–4, 7) and (6, –3). What is the length of the line segment? Round to the nearest tenth.

Answers

Answer:

-14.1

Step-by-step explanation:

well I dont feel like explaining just go there

A zoo has 60 penguins total if the emperor penguins make up 35% of all the penguins at the zoo how many emperor penguins are at the zoo?

Answers

Answer:

21 emperor penguins

Step-by-step explanation:

1. Convert 35% to decimal form

0.35

2. Multiply 0.35 by 60

21

3. The answer is 21

how to solve improper fraction of 4/5 - 1/4???

Answers

they aren’t improper tho?
4/5 - 1/4
find a common denominator
it would be 20
4/20 - 1/20
change the numerator too
16/20 - 5/20
it would give you 11/20

Answer:

11/20

Step-by-step explanation:

First, you have to find a common denominator between the two fractions, 4 and 5 can both equal 20 so we change the denominators to 20, 4/5 =16/20 since whatever we multiply on the bottom we multiply on the top, now for 1/4 we change it to 5/20. Now for the question, we subtract since that's what it's asking, so 16/20 - 5/20, 16 - 5 equals 11 and the denominators stay the same so the answer would be 11/20

helppp asap please!!

Answers

Answer:

p= 8250

r=7.25

t= 3 years

p×r×t

figure out the rest

if two points pass through each other it will be function or if it doesn't pass

Answers

Answer:

If two points pass through each other it means that it is not a function. The vertical line test shown proves that fact.

Step-by-step explanation:

help me solve for t please

Answers

Answer:

t = 1/3

Step-by-step explanation:

for this problem we have two different shapes, what we need to do is find out the proportional relationship between the two to solve for t, lets take one of the measurements from the smaller shape, we will go with... JK at 5

now all we need to do is divide that by the larger shapes same side, in this case that would be RP at 22.5, heres what that looks like so far

5 / 22.5 = 0.2-> (the two goes on forever, normally this is represented by a line above the infinite number, this is what they call a Repeating Decimal)

ok, so now that we have the rate of change between the two shapes figured out, now we just make the same change to the last side from the same side on the first shape, wich is LK to QR as shown

1.5 * 0.2-> = 0.3->

and if 0.3 is = to 1/3, so t = 1/3

i hope this helped you out, im sorry if im a little late lol, make note that all of this can be applied to similar situations, just figure out the change(s) that happened from one shape to the other, and make that same change on the unknown side or area

take care :D

simplify the rational expression: x-a/7x + 5x-5a/7x

Answers

Answer:6x - (6xa)/(7)

Step-by-step explanation:

The line L is shown on the grid.
Find an equation for L.
Give your answer in the form y=mx+c

Answers

Answer:

y = -5x - 5

Step-by-step explanation:

Given the standard form of an equation as y=mx+c

m is the slope

c is the intercept

Using the coordinate points

(1, 0) and (0,-5)

m = -5-0/0+1

m = -5/1

m = -5

Get the intercept

Intercept is the point where thee line cuts the y axis. intercept is -5

Get the equation:

Recall that y = mx+c

y = -5x + -5

y = -5x - 5

This gives the required equation


A computer store buys a computer system at a cost of $357.60. The selling price was first at $596,
but then the store advertised a 40% markdown on the system. Answer parts a and b.
a. Find the current sale price

Answers

Answer:

238.40

Step-by-step explanation:

you need to use "PRT"( Principal× Rate×time) but since it doesn't give us the time, we'll be only doing principal×rate. just multiply 596 and 40% And don't forget to put the percent sign bc it would change the price!! and I hope that helps u

Which two operations are needed to write the expression that represents "eight more than the product of a number and two"? O multiplication and subtraction O division and subtraction O multiplication and addition O division and addition ​

Answers

Answer:

O multiplication and addition

Step-by-step explanation:

let no be n

"eight more than the product of a number and two=2n+8

PLSS HELP. WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT FIRST

Answers

Answer:

it is a linear graph ‍♂u think that at what distans he do read page in a hour

HELPPPP I have no idea how to do graphhhsssss

Answers

always makes you always go from the x to the y axis!! sorry if this didn’t help much

Answer:

Follow the lines

Step-by-step explanation:

Follow what the lines go with what the table has.

To make this really easy, find the slope of the line

To do this you find an easy point.

Ex. x=3 and y= 150

then take it into a slope y-intersept formula

y= mx

150= 3x

50 = x

so for every time x goes up one interval, y increases at a rate of 50.

And for y, do the opposite, for every 50 y, x goes up 1.

By following this linear path, you should really beable to solve the graph on the right. (If you need to, use a calculator for dividing the y numbers by 50 to get x)

y= 50x is ur slope/formula

(Ill leave the rest for you to answer with this data above ;) )

Hope This Helps :)

At a high school there was a survey to find out how many people used different forms of transportation. The study found that 1/4 of the students were taken by car to school, 42% took the bus and the rest walked or took public transportation. There was a total of 600 students. How many students took the bus?

225
252
351
157
which one ^

Answers

Answer:

252

Step-by-step explanation:

600X42%=252

42/100 x 600 (42% of 600)
= 252
ans: 252

Lacey has $36 to spend. She buys a pair of sunglasses for $14.89 and a hat for $9.33. Lacey buys a scarf with the remaining money. How much does Lacey spend buying a scarf? (1 point)

$4.66
$7.44
$11.78
$24.22

Answers

Answer: 11.78

Step-by-step explanation: You have to minus 36 by the cost of the hat and sunglasses.

Answer:

11.78

Step-by-step explanation:

Lacery has 36 dollars so she only has 36

she buy a pair of sunglasses for 14.89    14.89

ans buys a hat for 9.33                  

add 9.33 and 14.89 which u get 24.22

36.00

 minus

24.22 equals 11.78

Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest

Answers

Answer:

x=-2

Step-by-step explanation:

add 18 to both sides, simplify, add 6x to both sides, simplify, divide both sides by -12.then simplify again... I hope that helps...

find the value of each variables​

Answers

Answer:

Step-by-step explanation:

Two similar triangles.

10/26 = y/13

y = 5

x² = 13² - y² = 144

x = 12

For your batch of cookies, you'll need 2 cups of chocolate chips for every 5 cups of cookie dough mix. You have 30 cups of cookie dough mix, how many cups of chocolate chips?

Answers

2/5=x/30 so first one times by 6 and to get 12

What is the volume, in cubic cm, of a cylinder with a height of 16cm and a base radius of 3cm, to the nearest tenths place?

Answers

Answer:452

Step-by-step explanation:

V = π r^2 h

= 3.14 * 3^2 * 16

= 3.14 * 9 * 16

= 452.16

Evaluate 6(-3) -1-51 +131 =

-20
-10
16

Answers

6(-3)-1-51+131=
-18-1-51+131=
-70+131=61

7400 dollars is placed in an account with an annual interest
rate of 6%. To the nearest year, how long will it take for the
account value to reach 19200 dollars?

Answers

Answer:

17

Step-by-step explanation:

We have the following equation for compounding annual interest

AV=PV(1+i)ⁿ

We have

19200=7400(1+.06)ⁿ

Solve for n

divide both sides by 7400

2.594=(1.06)ⁿ

then use the following rule for exponents

[tex]x^y=z\\log_xz=y[/tex]

which means that

[tex]log_{1.06}2.594=n[/tex]

Solve and get

16.362

which rounds to 17

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