Find the time it takes for a rocket following the path, h(x) = - 3x2 + 18x, to reach a maximum. In your final answer, include all of your calculations and a verbal explanation of the process that you followed in your solution.

Answers

Answer 1

Answer:

it takes 3 seconds for it to get the the maximum height

Step-by-step explanation:

well this is easy bc it is negative so we know it goes down, meaning the vertex will be at the top/highest point.

so all u gotta do is find the vertex which is x=-b/2a

now we gotta plug the numbers in and solve

h(x)=-3x^2+18x

x=-18/2(-3)=-18/-6=3

voilà there is the answer, 3 seconds


Related Questions

Find the slope of the line. 2x - 4y = 18

Answers

solve for y.
2x - 4y = 18
-4y = -2x + 18
y = 1/2x - 9/2
the slope is 1/2

Answer:

The slope would be 1/2.

Step-by-step explanation:

Step one: Subtract 2x from both sides to get, -4y=-2x+18

Step two: Divide -4 from all sides

It is just that simple. Hope this helps. Have an awesome day!!!!!!!

HELP Please 25 Points Calculus

Answers

(I) is not necessarily true. Consider the function f(x) = - |x| on the interval [-1, 1]. There's a maximum at x = 0, but f' (0) does not exist.

But both (II) and (III) are true, so the answer is A.

Can someone help me solve multiple step equations? For example (7t - 2) - (-3t + 1) = -3(1 - 3t)

Answers

Answer:

t = 0

Step-by-step explanation:

(7t - 2) - (-3t + 1) = -3(1 - 3t)

because you can not do anything inside the parantheses, you distribute. there aren't any numbers on the left side of the parantheses on the left side of the equation so we just imagine the number 1. on the right side of the equation, just distribute normally

[ 1(7t - 2) -1(-3t + 1) = -3(1 - 3t) ]

will be

7t - 2 + 3t - 1 = -3 + 9t

add like terms

10t - 3 = -3 + 9t

subtract 9t from both sides

t - 3 = -3

add 3 to both sides

t = 0

13 less than 2/3 of a number

Answers

Answer:

[tex]\frac{2}{3} x-13[/tex]

in equilateral triangle DEF, m

Answers

Answer:

please write the full questions

Can we create scaled copies by adding or subtracting
the same value from all lengths? Why or why not?

Answers

Answer: no

Step-by-step explanation:

Because to make a scaled copy you have to MULTIPLY or DIVIDE all the lengths of the figure

How to solve D - 8/5 = -4

Answers

Answer:

A= 5/7b +8

Step-by-step explanation:

The basic idea is that you can do anything you want (except divide by

zero) to either side of the equation, so long as you do the same thing

to the other side, too.

3.2 x 10-2 +3.2 x 10-4 +
28 x 10-2

Answers

Answer:

336 I assume if using PEMDAS

Step-by-step explanation:

Find the slope of the line passing through the points (-9, 3) and (-9, -2).

Answers

Answer:

Undefined

Step-by-step explanation:

Slope of the line

[tex] = \frac{ - 2 - 3}{ - 9 - ( - 9)} \\ \\ = \frac{ - 5}{ - 9 + 9} \\ \\ = \frac{ - 5}{0} \\ \\ = \infty \: \: or \: undefined[/tex]

What is the answer to x/3 = 6/9

Answers

Answer:

x/3 = 6/9

3 x 2 = 6

3 x 3 = 9

x = 2


y = -9x + 5
y = –10.

Answers

Answer:

x=5/3 simplified x= 15/9

Step-by-step explanation:

PLS HELP ASAPPPPP WITH PART B, C, & D PLS PLS

Answers

Answer:

Part b would be 4 and c would be 5 and d  would be 19

Step-by-step explanation:

So yea do those

Negative one fourth plus three fourths

Answers

Answer:

no

Step-by-step explanation:

-1/4 + 3/4 = 0.5 I hope this helped

Help me out hereeeeeeeeeeeee

Answers

Answer:

I think the first one

Step-by-step explanation:

Answer:

3 1/7

Step-by-step explanation:

5/6 * 4 = 20/6

20/6 = 3 2/6 = 3 1/3

Jeremiah is saving money from a tutoring job. After the first three weeks, he saved $135. Assume the situation is proportional. Use the unit rate to write an equation relating the amount saved s to the number of weeks w worked. At this rate, how much will Jeremiah save for eight weeks? *

Answers

Answer:

After the first 3 weeks Jeremiah saved $135. If the situation is proportional:

$135 : 3 = $ 45. It means that he can save $45 for one week.

Therefore an equation is:

s = 45 * w,

where s is the amount saved and w is the number of weeks.

After 8 weeks :

s = 45 * 8 = $360.

Step-by-step explanation:

Explain how you can find any power of 1

Answers

Answer:

It's just the number that is to the first power

Step-by-step explanation:

Cumulative interest payment excel

Answers

Answer:

What is the question here?

put the question in the replies of this answer and I'll help you.

May I have brainliest please? :)

The local bowling alley charges $8 for 2 games of bowling and $3 for each additional game. You have a $20 bill. Let `x\ `stand for the total number of games you can bowl. Write an inequality to represent the total number of games you can bowl. Write the ORIGINAL inequality. Do NOT simplify.

Answers

Answer:

8 + 3x ≤ 20

Step-by-step explanation:

Given

2 Games = $8

Additional Game = $3

Amount = $20

Required

Determine the inequality that represents the number of games

From the question, we understand that the minimum number of games that can be played is 2.

So, the expression can be:

Cost of 2 games + Cost of additional games ≤ Amount

This gives:

8 + 3 * x ≤ 20

Where x represents the additional number of games

By simplifying the expression, we have:

8 + 3x ≤ 20

2/3 divided 1/4 , give answers in simplest form

Answers

Answer:

2 2/3

Step-by-step explanation:

2.4 x 24.12 need help I’m stuck help

Answers

Answer: 57.888

Step-by-step explanation: you have to use long multiplication to evaluate

Answer :

Person above me got it right (57.888)

1/3 + 2/3 + 2/3 as a fraction pls helppp

Answers

Answer:

5/3

Step-by-step explanation:

Answer:

1 and 2/3

Step-by-step explanation:

They have a common denominator so add the top numbers and get 1 whole, and 2/3's.

6(-5+4)
Ok thx please show the steps?

Answers

6 (-5 + 4)

Sčítaním -5 a 4 získate -1.

6(-1)

Vynásobením 6 a -1 získate -6

Výsledok je -6

6(-5+4)
6(-1)
-6

Merry Christmas

what is 8.05 x 10 to the 5th power in standard notation

Answers

805000.0 • 10^5 ( i think that’s right)

Answer:

0.0000805

Step-by-step explanation:

2×3+4-5
please help ​

Answers

Step-by-step explanation:

PEMDAS

parentheses, exponents, multiplication, division, addition, subtraction.

first multiply:

2×3=6

6+4-5

Now add

6+4=10

Now subtract

10-5=5

5 is the answer

I hope this helped! :)

SOLVING STEPS...

FIRST CALCULATE 2 × 3

SO IT'S 6

NOW THE FORM IS

[tex]6 + 4 - 5[/tex]

CALCULATE THE SUM OF DIFFERENCE

SO THE ANSWER IS

[tex]5[/tex]

GAVE ME THE BRAINLIEST IF MY ANSWER WAS HELPFUL...

A machine that fills bottles on an assembly line does so according to a normal distribution, where the mean amount of liquid poured into each bottle is 11.95 ounces with a standard deviation of 0.045 ounces. If more than 12.10 ounces is poured into a bottle, it will overflow and waste the liquid.

Required:
What is the probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow?

Answers

Answer:

The probability is [tex]P( X > 12.10 ) =0.0004[/tex]

Step-by-step explanation:

From the question we are told that  

    The mean is  [tex]\mu = 11.95 \ ounce[/tex]

     The  standard deviation is  [tex]\sigma = 0.045 \ ounce[/tex]

 Generally the  probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow is mathematically represented as

      [tex]P( X > 12.10 ) = P( \frac{X - \mu }{\sigma } > \frac{ 12.10 - 11.95}{0.045} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

     [tex]P( X > 12.10 ) = P( Z > 3.33 )[/tex]

From the z table  the area under the normal curve to the right corresponding to  3.33   is

     [tex]P( Z > 3.33 ) = 0.0004[/tex]

=>  [tex]P( X > 12.10 ) =0.0004[/tex]

what is the simplified form of the expressions?

a. -6a^2b^-1

b. 5/y^-3

Answers

Answer:

option a

hope this helped.

HELP PLS I WILL MARK BRAINLIEST!!

Answers

B i could be wrong tho

Tabitha collects quarters from different states. The value of her collection is $17.75. How many quarters does she have in her collection?

Enter the correct answer in the box.

Answers

Answer:

there is 74 quarters

Step-by-step explanation:

$17.75 divided by 25 equals 71 and there is stillb75 left how many quarters are in that 3 quarters so 71 plus 3 equals 74

Morgan is buying holiday gifts for her friends she can spend at most $95. Write an inequality to represent the amount of money m. Morgan can spend on each friends gift. What is the inequality

Answers

Answer:

$95÷f = m

Step-by-step explanation:

In sentence form

$95 divided by the number of friends(f) equals the amount of money(m) she can spend on each.

Given m||n, find the value of x.
+
(6x-7)°
>
(4x-1)^

Answers

Answer

Step-by-step explanation:

6x-4x=2x=7-1=6

2x=6

-2x-2x=x 6/2x=3

x=3

Other Questions
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The excerpt best reflects which of thefollowing?(A) Conflicts over how the Constitution shouldbe implemented and interpreted(B) Fcar that the United States would beovertaken by a foreign power(C) Disagreement over the consequences of theFrench Revolution for the United States(D) Secessionist pressures coming fromslaveholders in the South2. Which of the following issues of that period wasJefferson most likely concerned with in thecxcerpt?(A) The growth of slave labor(B) The creation of political parties(C) The expansion of the right to vote(D) The growth of various Protestant religiousgroups Which of the following does NOT use magnetism? A. doorbell. B. alcohol thermometer. C. television. D. laptop computer. Es una forma en la que los ciudadanos expresan sus ideas acerca de cmo debe conducirse el gobierno en determinados temas. Esta expresin puede hacerse de manera directa o mediante la votacin de determinados asuntos dados a consulta. 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Complete the explanation.A triangle that has vertices at one height only, meaning it is parallel to the ground, will have side lengths1that are each times the side lengths of the corresponding triangle in the actual building. The two200triangles are similar by the ? Triangle Similarity Theorem. A triangle that has vertices at severalheights will? have side lengths that form a constant ratio with the side lengths of thecorresponding triangle in the actual building. These triangles will ? be similar How much does it cost to travel to Australia? What is the playing surface called where the college basketball semi-finals are played? If you can bicycle 8 miles per hour, how many minutes will it take to bicycle 4 miles? What has been the most important event that has caused the American colonies to dislike, distrust, and distance themselves from Great Britain? Provide one reason to support your response. 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