Sally launches a rocket off of a platform. The height of the rocket, in meters, can be modeled by the function, h(x) = -5(x - 3)2 + 56, where x is in seconds. o What is the height of the platform? o What is the maximum height the rocket reaches? o How long does it take to reach this height?

Answers

Answer 1

Answer:

Time = 3secs

Max height = 56m

Step-by-step explanation:

Given the height reached by the rocket modeled by the equation;

h(x) = -5(x - 3)² + 56 where;

x is in seconds

The rocket velocity at its maximum height is zero.

Hence dh/dx = 0

dh/dx = 2(-5)(x-3)

dh/dx = -10(x-3)

Since dh/dx = 0

0 = -10(x-3)

0 = -10x + 30

10x = 30

x = 3secs

Hence it takes 3 secs to reach the maximum height.

Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;

Recall that:

h(x) = -5(x - 3)² + 56

If x  = 3

h(3) = -5(3 - 3)² + 56

h(3) = 0 + 56

h(3) = 56

Hence the maximum height that the rocket reaches is 56m


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Find all the real zeros of the function : h(x) = -2 (x²+16) (x²-9)

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That’s the answer enjoy

Dion ordered a pizza from Domino’s. Domino’s charges 50 cents per topping.

What’s is the rate of change?

What’s the equation of the line?

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Answer:

the answer is 50

Step-by-step explanation:

the answer is 50 because lets say the the amount for a plain pizza is $12 that will be your inital value. 50 is your rate of change cause they price is add onto by 50 cents per topping.

PLEASE HELP ASAP!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
I WILL NAME BRAINLIEST

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Answer:

J(8,4)K(4,10)L(12,12)M(14,10)

3D3L   -> J(8,1)K(4,7)L(9,9)M(11,7)

2R3D  -> J(10,1)K(6,7)L(14,9)M(16,7)

3L2UP -> J(5,6)K(1,12)L(9,14)M(11,12)

i need questions 1-8 pla

Answers

Answer:.

Step-by-step explanation:.

1. domain: -6,5,0,-2
range: 4,-1,3,4
function: yes

2. domain: -4,-3,0,-3
range: 8,1,-5,2
function: no

3. domain: 5,3,0,2,5
range: 3,-3,1,-3,2
function: yes

4. domain: 3,1,0,2,4
range: -5,1,-3,4,-5
function: yes

5. domain: (5, infinity)
range: (-1, infinity)
function: yes

6. domain: 0,0,1,1,2,2,3,3,4,4,5,5
range: 0,-3,-4,-2,2,3
function: no

domain are all the x values, range are all the y value. if there an x value repeats it is not a function, if a y value repeats it doesnt matter.
i cant see question 7 and 8 but hoped this helped!

yall I need help QUICK

Write an equation of a line that passes through the x-intercept 4 with slope -3

PLEASE HELP

Answers

Answer:

y=-3x-12

Step-by-step explanation:

:)

Find the x value of the system of equations. Use the technique of ELIMINATION to solve this problem. Proper work must be shown on your work submission. 3x-2y=4 5x+y=11 the answer choices are 2 , -1 , 1 , -2

Answers

Answer:

2

Step-by-step explanation:

Given the equation :

3x - 2y = 4 - - - (1)

5x + y = 11 - - - (2)

Multiply (1) by 1 and (2) by 2

3x - 2y = 4 - - - - - (3)

10x + 2y = 22 - - (4)

Add (3) and (4)

13x = 26

x = 26/13

x = 2

Given h(x)=5x-2, find h(5)

Answers

Answer:

h(5)=23

Step-by-step explanation:

23 is the awnser that you need.

9n+1
2n+25.5
add the result of both equations together

Answers

The answer would be 11n+26.5. Hope this helps

a car that was originally worth 29500$ it depreciates at a rate of 2500$ per year find the value of the car after six years

Answers

Answer:

14,500

Step-by-step explanation: Just took the test.

1. The price decreased from $25.00 to $10.00. Find the percent of decrease.

Answers

60% decrease

15 is 60% of 25

What is 60% of 25?

Y is 60% of 25

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 60% * 25

Converting percent to decimal:

p = 60%/100 = 0.6

Y = 0.6 * 25

Y = 15

Answer:

It decreased by 71%

Step-by-step explanation:

25 divided by 35

Find m ABD. Please help me.

Answers

Answer:

31x

Step-by-step explanation:

Were just looking at the top triangle because it has the points A,B, and D. now we solve for x (aka answer the equation in the parentheses). We need to get rid of the 22 so we only have x. We do that by adding it to itself so it equals 0. What we do to one side we do to the other. Now adding 22 to 9 we get 31 (put the x back).

 9x - 22

+22 +22

9x - 22 = 31x

Ill mark brainliest pls help

Answers

Answer:

Yes it is

Step-by-step explanation:

Paul is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Paul wants to get 46 balloons, how many yards of string will he need

Answers

Answer:

Paul needs 276 feet of string for his uncle's birthday party.

Step-by-step explanation:

From the problem we are given, we can simply break it down as follows:

Paul wants each balloon string to be 6 feet long.

Paul also wants to get 46 balloons with each of them having 6-feet long strings attached to them.

This means that Paul will need 6 feet ling strings 46 times (that is for all the 46 balloons)

to solve this mathematically, we multiply 46 X 6 to get 276 feet.

Therefore, Paul needs 276 feet of string for his uncle's birthday party.

An oil rig has a height of 74.98 m visible above water and extends 518.16 m below the surface to the sea floor. What is the total height of the oil rig?​
please help i really need help A.S.A.P :)

Answers

Answer:

So you know that the height that is visible above x=0 is 74.98 m From x=0 below it has a total height of 518.16m to the sea floor

That tells us that we have two parts account for

74.98+518.16m = 593.14 m

Step-by-step explanation:

i know that I'm indian n u r Pakistani but can't we be friends I don't see my friend from where they belong just I need ur heart with me

The radius of a circle is 8 millimeters. What is the circle's area?

Use 3.14 for ​PI

Answers

200.96 millimeters I believe. The formula for the area of a circle is pi r^2 :)

Please I really need help!!!
As fast as possible!!!

Answers

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

Corresponding sides are proportional, so the ratios of bottom to left side are the same. The left side of the large triangle is 6+4=10.

  x/10 = 9/6

  x = 10(9/6) . . . . multiply by 10

  x = 15

During one waiter’s shift, he delivered appetizers, entrées, and desserts. What percentage of the dishes were desserts? appetizers? entrées? What do your percentages add up to?
15 desserts
10 entrees
15 appetizers

Answers

Answer:

percentage of the dishes were desserts = 37.5%

percentage of the dishes were entrees = 25%

percentage of the dishes were appetizers = 37.5%

Total percentage = 100%

Step-by-step explanation:

Desserts = 15

Entrees = 10

Appetizers = 15

Total dishes = desert + entrees + appetizers

= 15 + 10 + 15

= 40

What percentage of the dishes were desserts?

= 15 / 40 × 100

= 0.375 × 100

= 37.5%

What percentage of the dishes were entrees?

= 10 / 40 × 100

= 0.25 × 100

= 25%

What percentage of the dishes were appetizers?

= 15 / 40 × 100

= 0.375 × 100

= 37.5%

What do your percentages add up to?

Total percentage = 37.5% + 25% + 37.5%

= 100%

Use the table to answer the question. X y -21-1 -1 -1 1 0 3 1 5 2 7 Which equation represents the relationship between x and y shown in the table? 1 O A. y = fx- -1 O B. y = x+3 Oc. C. y=2x-1 D. y = 2x + 3​

Answers

Answer:

D. y = 2x + 3​

Step-by-step explanation:

Use the table to answer the question.

x:-2  -1   0   1    2

y: -1   1   3   5   7

Which equation represents the relationship between x and y shown in the table.

Solution:

The table shows a linear relationship between x and y.

A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.

The table (x, y) has the points (-2, -1) and (0, 3). The equation is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-1)= \frac{3-(-1)}{0-(-2)} (x-(-2))\\\\y+1=2(x+2)\\\\y+1=2x+4\\\\y=2x+3[/tex]


Perry is making a scrapbook with pictures of all his summer activities. He filled 6 pages with
24 pictures from his weekend at the beach. Perry has 44 pictures from his week at camp.
If Perry adds pictures to his scrapbook at the same rate, how many pages will he fill with his
camp pictures?

Answers

Answer: 188

Step-by-step explanation:

So first do

6 X 24=144+44=188

Tell me if I am right

Answer:

Step-by-step explanation:

11

i need help on how to find m and b

Answers

Answer:

y = [tex]-\frac{1}{2}x+3[/tex]

Step-by-step explanation:

Slope of line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is give by,

Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through the points (0, 3) and (2, 2),

m = [tex]\frac{3-2}{0-2}[/tex] = [tex]-\frac{1}{2}[/tex]

Y-intercept 'b' of the given line in the graph is (3).

Since, equation of line with slope 'm' and y-intercept 'b' is,

y = mx + b

Therefore,equation of the line given in graph will be,

y = [tex]-\frac{1}{2}x+3[/tex]

What's 5/3x(-6/7) In simplest terms??

Answers

Answer: 0.514

Step-by-step explanation:

What is the value of expression below?

Answers

Answer:

B)1.1

Step-by-step explanation:

I'm 100% sure

Answer:

ans b.1.1

Step-by-step explanation:

hey just follow an thank me thats it

PLEASE HELPPP ILL DO ANYTHINGGGG

Answers

Answer:

1. 16

2. 20

3. 6

4. 42

Step-by-step explanation:

you basically see where the numbers are and follow the dots down to see what number it lands on and the last one you add

Reason Abstractly The inequalities 3x < 1 and 6x < 2 are equivalent inequalities. Writ e another inequality that
is equivalent to 3x < 1 and
6r<2.

Answers

Answer:

12x < 4

Step-by-step explanation:

6x < 2 is twice 3x < 1

so 12x < 4 is twice 6x < 2

When will The Ghost of Christmas present cease to exist? ​

Answers

Answer:

never ever not in a million years

Step-by-step explanation:

Determine if the sequence is geometric. If it is, find the 8th term. *
3 points
-2, 8, -32, 128,...
O Not geometric
O Geometric; 8th term: 16384
O Geometric; 8th term: 32768
O Geometric; 8th term: 4096

Answers

Hi! I got you! The answer is 32768, the third option! To do this you enter your numbers into the solution first number(common ratio)^n-1. When inputted you get: -2(-4)7 and that equals the third answer.

Please give brainliest❤️

divide (3x^2-14x-5) by (x-5)

Answers

Answer:

3x+1

Step-by-step explanation:

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of

0

.

x

-

5

3

x

2

-

14

x

-

5

Divide the highest order term in the dividend

3

x

2

by the highest order term in divisor

x

.

3

x

x

-

5

3

x

2

-

14

x

-

5

Multiply the new quotient term by the divisor.

3

x

x

-

5

3

x

2

-

14

x

-

5

+

3

x

2

-

15

x

The expression needs to be subtracted from the dividend, so change all the signs in

3

x

2

15

x

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

Pull the next terms from the original dividend down into the current dividend.

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

Divide the highest order term in the dividend

x

by the highest order term in divisor

x

.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

Multiply the new quotient term by the divisor.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

+

x

-

5

The expression needs to be subtracted from the dividend, so change all the signs in

x

5

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

-

x

+

5

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

-

x

+

5

0

Since the remander is

0

, the final answer is the quotient.

3

x

+

1

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of

0

.

x

-

5

3

x

2

-

14

x

-

5

Divide the highest order term in the dividend

3

x

2

by the highest order term in divisor

x

.

3

x

x

-

5

3

x

2

-

14

x

-

5

Multiply the new quotient term by the divisor.

3

x

x

-

5

3

x

2

-

14

x

-

5

+

3

x

2

-

15

x

The expression needs to be subtracted from the dividend, so change all the signs in

3

x

2

15

x

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

Pull the next terms from the original dividend down into the current dividend.

3

x

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

Divide the highest order term in the dividend

x

by the highest order term in divisor

x

.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

Multiply the new quotient term by the divisor.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

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5

+

x

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5

The expression needs to be subtracted from the dividend, so change all the signs in

x

5

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

-

x

+

5

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

3

x

+

1

x

-

5

3

x

2

-

14

x

-

5

-

3

x

2

+

15

x

+

x

-

5

-

x

+

5

0

Since the remander is

0

, the final answer is the quotient.

3

x

+

1

The solution after divide (3x² - 14x - 5) by (x - 5) will be (3x + 1).

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ Divide (3x² - 14x - 5) by (x - 5)

Now,

Divide (3x² - 14x - 5) by (x - 5) as;

x - 5 ) 3x² - 14x - 5 ( 3x + 1

        3x² - 15x

      -      +

      ------------------

               x - 5

              x - 5

           -      +  

         --------------------

                0

Thus, The solution after divide (3x² - 14x - 5) by (x - 5) will be (3x + 1).

Learn more about the division method visit:

https://brainly.com/question/25289437

#SPJ2

Find the greatest number which
divides 304 to leave a remainder
of 4 and which also divides 298
to leave a remainder of 4.

Answers

Answer:

304-4=300

300/30=10

298-4=294

294/3=98

Luke divided 16.80 by 2.5 as shown, but he forgot to put the decimal point in the
answer.
Complete the sentence below.

Answers

Answer:

it equal 6.72

Step-by-step explanation:

if u divide them it will equal 6.7 but his answer would of looked like 672

A gymnast's score for a routine is calculated by finding the sum of a difficulty score and an execution score, minus any penalties. The execution score starts at 10 and is reduced by deductions. The gymnast's score can be represented by: 6.9 + (10 – 1.534) – 0.3. What is the gymnast's score?

Answers

Answer:

the gymnast score is 15.066

Step-by-step explanation:

The computation of the gymnast score is shown below:

Given that

6.9 + (10 - 1.534) - 0.3

Here the 10 denotes the execution score

6.9 denotes the difficulty score

0.3 denotes the penalties

Based on the above information, the gymnast score is

= 6.9 + (10 - 1.534) - 0.3

= 6.9 + 8.466 - 0.3

= 15.066

Hence, the gymnast score is 15.066

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