# A hovercraft takes off from a platform. Its height (in meters), x seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h. What is the maximum height that the hovercraft will reach?

Given function for height is h(x)= -2x^2+20x+48, where x is the number of seconds after takeoff hovercraft.

We need to find the maximum height of the hovercraft.

The given function is a quadratic function.

And a quadratic function represents a parabola.

The maximum height of the parabola is the vertex point.

So, we need to find the y-coordinate of the vertex to find the maximum height of hovercraft.

We know formula for x-coordinate of vertex is given by

x = -b/2a

For the given function a=-2 and b=20.

Plugging values of a and b in above formula, we get

x=-20/2(-2) = -20/-4 = 5.

We got x-coordinate of the vertex point = 5.

Plugging x=5 in given function of height, we get

h(5) = -2(5)^2+20(5)+48

=-2(25) +100 +48

=-50+100+48

=50+48

=98.

y=98

Therefore, the maximum height of the hovercraft will reach = 98 meters.

8 meters high

Step-by-step explanation:

## Related Questions

2800 is 2000 thousands +800 hundreds. Which is another way to make 2800?

A) 2000 thousands plus 10 hundreds

B) 3000 thousands plus 600 hundreds

C) 1000 thousand plus 18 hundreds

The answer is C because 1000 plus 1800 = 2800

Jennifer is calculating her gpa. if she uses "=(a1+a2+a3+a4)/4", this is an example of which type of entry?

The first thing we should know in this case is the meaning of the following acronyms:
Effectively in a program like excel she can use:
GPA = (a1 + a2 + a3 + a4) / 4
Where,
ai = represents each of the notes (i: 1,2,3,4)
However, this is also an example of the following type of entry:
GPA = AVERAGE (a1: a4)
Entry:
Formulas: are references of cells, names of cells or ranges, functions or operators that result in a value from other existing values.

ramon earns \$1735 each month and pays \$53.10 for electricity. to the nearest tenth of a percent, what percent of ramon’s earnings are spent on electricity each month

3.1%

Step-by-step explanation:

From the question, Ramon earns \$1735 monthly

He pays \$53.10 for electricity

% of Ramon’s salary spent on electricity each month will be

Amount spent on electricity divided by his monthly earning multiplied by 100%.

That is \$53.10/\$1735 x 100%

=0.0306 x 100

= 3.06%

To the nearest tenth, it becomes 3.1%

So, Ramon spends 3.1% of his monthly earnings on electricity

estimate the answer by rounding first number to nearest tenth and second number to nearest hundred. 0.65 × 1754. have to type an integer or decimal​

1260

Step-by-step explanation:

Round 0.65 to 0.7 and round 1754 to 1800. To get 1260, I recommend an easy way to do this. I would take 18 and multiply it by 7, giving us 126. Because it was supposed to be 0.7, not 7, we multiply by 10 because 7/10 is 0.7. This gives us 126 times 10 which equals 1260.

Write four decimals with the 4 digit in a different place in each --- ones tenths hundreds and thousandths.Then write a statement that compares the value of the 4 digit in different decimals

Firstly there is no ones in those so
4.530
5.430
6.740
8.654

A line has a slope of -1/2 and a y-intercept of 3. Which equations represent the line?

Choose all answers that are correct.

A. 2y = 6 + x

B. x + 2y = 6

C. y = -1/2x + 3 <-------- I know it's this one

D. (y - 2) = -1/2(x - 2)

I need to be refreshed on this because it has been a while... Also this is multiple choice.

Y=mx+b
m=slope
b=yintercept

given
m=-1/2
b=3

y=-1/2x+3
see other options, see if they wil simplify
solv for y

A. 2y=6+x
divide by 2
y=1/2x+3
nope, it is supposed to be -1/2, not 1/2

B. x+2y=6
minus x
2y=-x+6
divide 2
y=-1/2x+3
yes

C. yep

D. distribute -1/2
y-2=-1/2x+1
y=-1/2x+3
yes

B,C,D

The family spent \$53.74 on gas. Next month, the price is predicted to increase 12%. How much should the family expect to pay for gas next month? Round your answer to the nearest cent

If the increase is 12%, then the amount they should expect to pay next month is 1.12(\$53.74) = \$60.19 (rounded up from \$60.1888).

Write and solve an inequality for the following: A fish tank can hold at most 315 gallons of water. if a hose is filling the fish tank at a rate of 15 gallons every 10 minutes, how many hours can the hose be left on before the tank overflows?

Step 1

Find the unit rate

Step 2

Convert   to

we know that

so

Step 3

Find the inequality

Let

x--------> the time in hours

------> this is the inequality

Step 4

Solve the inequality

Divide by both sides

therefore

Hose can be left on before tank overflows less than

5  or 6 hours

Step-by-step explanation:

So the most you can fill up is 315 gallons of water, then 15 gallons every 10 minutes so.... how much times does 10 go into 315 31 and a half times so it would take 32 of those to over fill it. That means we have to convert now, it will be 5 or 6 hours sorry I miss counted try on of those! I hope I could help have a great rest of your day or night!! :))

Thad ran his part of the race in 11.45 seconds, Greg ran his part in 13.012 seconds and Mike ran his part in 12.837 seconds. What is the difference between how fast Mike and Thad ran their race? A. 1.377 seconds B. 1.387 seconds C. 11.692 seconds D. 24.287 seconds