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We need to find time taken to reach arrow to its maximum.

The path of the arrow can be modeled with the equation [tex]y=-x^2+ 42x-80[/tex] .

Differentiating the given equation w.r.t x and equate it to zero.

[tex]\dfrac{dy}{dx}=-2x + 42 \\\\42 - 2x = 0\\\\x = 21\ seconds[/tex]

Putting value of x = 21 sec in given equation, we get :

[tex]y=-x^2+ 42x-80\\\\y = -(21)^2 + (42\times 21) - 80\\\\y = 361 \ feet[/tex]

Therefore, time taken to reach maximum height is 21 seconds.

Answer:

-2

Step-by-step explanation:

first, you want to graph your points on a graph. A really good online graphing calculator i like is called desmos.

next, slope is rise over run. count how many units up or down from leftmost point to the other. in this case it is -8.

third, find the run part of the slope by counting units right or left from the leftmost point to the other. in this case it is 4.

last, but the two numbers together in a fraction and simplify. rise over run.

-8/4 which simplifies to -2/1 which is the same thing as -2

Answer:

13 ft

Step-by-step explanation:

Answer:

x = 11/3

Step-by-step explanation:

x2 + x = 11

Combine like terms

3x = 11

Divide both sides by 3

x = 11/3

Answer:

-34

Step-by-step explanation:

Insert the 5 into the place of the X.

Then solve:

-4 - 6(5)

= -4 - 30

= -34

Answer:

20x-18y

Step-by-step explanation:

26x-2(3x+4y)-10y

26x-6x-8y-10y

20x-18y go doawnload the app photomath its a great tool

Answer:

57,416

Step-by-step explanation:

50,000 + 7,000 + 400 + 10 + 6

50,000 is in the ten thousands place.

7,000 is in the thousands place.

400 is in the hundreds place.

10 is in the tens place.

6 is in the ones place.

Answer:

66

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define Expression

82 - 6(7 - 4) + 2

Step 2: Evaluate

Answer:

22 or   21

Step-by-step explanation:

HOP THAT  HELPS

Answer:

j=12

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Time taken in each lap = 4 min

Total laps = 11

Total time = 11 x 4 = 44min

Answer:

44 minutes

Step-by-step explanation:

4 minutes per lap . He is running 11 laps. Multiply 4 times 11 and it equals 44

Answer:

C

Step-by-step explanation:

Listen, just think about it.

If 5 times “x” is subtracted from 27 (so 27-5x) if the result/answer

(meaning its equal “=“ ) is 9+ than 4 times “x” (soo basically like 4x +9). If you put all of those 2 equations together you get 27 x 5x = 4x + 9.

(I use “x” to as the variable and remember when a variable is next to a number it means you have to multiply whatever that number is)

Answer:

114 millimeters or option C

Step-by-step explanation:

Ok perimeter.

15+33+18+33+15

which is 114 millimeters.

Hope this helps :D

#Team Rainbows

Answer:

the answer would be a

Step-by-step explanation:

if i am right can i please have the brainelest

Answer:

60%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

9/15=.6

.6 as a percent is 60%

Answer:

In the equation the $50 would be the start up or in other words the y-intercept

Step-by-step explanation:

Answer:

Martin made more. He mad $75 dollars.

Step-by-step explanation:

So martin makes $50 a day plus $25 per repair. so he made $75 dollars. And Helen makes $20 a day plus $35 per repair so he maid $55 dollars less so martin made more. No they don't make the same number of repairs.

Answer/Step-by-step explanation:

1. (0, 3) and (-4, -3)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 3}{-4 - 0} = \frac{-6}{-4} = \frac{3}{2} [/tex]

2. (2, -5) and (0, 5)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - (-5)}{0 - 2} = \frac{10}{-2} = -5 [/tex]

3. (-5, -5) and (-3, 5)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-5)}{-3 -(-5)} = \frac{10}{2} = 5 [/tex]

4. (0, -5) and (5, 5)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - (-5)}{5 - 0} = \frac{10}{5} = 2 [/tex]

5. (-4, 5) and (1, 0)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 5}{1 - (-4)} = \frac{-5}{5} = -1 [/tex]

6. (-5, 1) and (5, -4)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - 1}{5 -(-5)} = \frac{-5}{10} = -\frac{1}{2} [/tex]

7. (-1, 4) and (-2, 1)

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

8. (-5, 1) and (5, 0)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{5 - (-5)} = \frac{-1}{10} = -\frac{1}{10} [/tex]

9. (-5, -2) and (5, -3)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 -(-2)}{5 -(-5)} = \frac{-1}{10} = -\frac{1}{10} [/tex]

10. (-3, 2) and (-5, 3)

[tex] Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{-5 -(-3)} = \frac{1}{-2} = -\frac{1}{2} [/tex]

GOING SEVENTEEN SUPREMACY

Answer:

the answer is:

5x - 2x = 15 - 6

3x = 9

x = 3

Answer:

4,840

Step-by-step explanation:

15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.

Answer:

8 1/3 hours : )

Answer:

c

Step-by-step explanation:

Answer:

b=[tex]\frac{3f}{ 4} + \frac{3r }{ 4 }[/tex]

Step-by-step explanation:

Answer:

Here is the explanation of how I was taught to do it :)

Step-by-step explanation: In its easiest form, an A=4, B=3, C=2, D=1, F=0.

If the class is 2 credit.......Multiply each numeric grade value by the number of credits the course was worth

Add these numbers together

Divide 45 by the total number of credits you took, in this example,13.

Your Weighted by Credit Hour GPA = 3.46

It depends on your school. Sorry this was not the most clear, I was taught like 2 years ago, and now I kinda forgot but hopefully this helps a lil dont get mad :)

Answer:

25%

Step-by-step explanation:

1,000x4 would be 4 thousand, so the answer would be 1/4. 1/4 as a percent is 25%.

Answer:

The answer is the second one

Answer:

y = 7x + 22

Step-by-step explanation:

pretty self explanatory

hope this helps <3

The answer is

Y=mx+b

Y=7x+22

Answer:

x=-24

Step-by-step explanation:

Answer:

It is -24.

Step-by-step explanation:

First distribute 2/3 on the left side, and distribute 1/2 on the other side. Now you have 1 /3 x + 8 =  1/ 6 x + 7 + (−3). Now, combine like terms. Now you should have 1 /3 x + 8 =  1 /6 x + 4. Now, subtract 1/6x on both sides. You should now have 1 /6 x + 8 = 4. Subtract 8 from both sides, and you should have 1/6x = -4. Now the last step is to multiply by 6 on both sides. Now you should get -24. Have a good day!

The dimension of the rectangle is,

The length of the rectangle is 7 feet.

And the width of the rectangle is 8 feet.

Given that,

If the width of a rectangle is 9 ft less than twice its length and the perimeter is 30 feet,

We have to determine,

What are the dimensions of the rectangle?

According to the question,

Let, the width of the rectangle is W,

And the length of a rectangle is L = 2W - 9,

The perimeter of the rectangle is = 2(L+W)

Where perimeter is 30 feet,

Therefore,

[tex]30 = 2(2W-9+W)\\\\30 = 2(3W-9)\\\\30 = 6W-18\\\\30 + 18 = 12W\\\\48 = 6W\\\\W = \dfrac{48}{6}\\\\W = 8 \ feet[/tex]

And the length of a rectangle is,

[tex]L = 2W - 9, \\\\L= 2(8) - 9\\\\L = 16-9 \\\\L =7 \ feet.[/tex]

Hence, The dimension of the rectangle is, the length of the rectangle is 7 feet, and the width of the rectangle is 8 feet.

To know more about Rectangle click the link given below.

https://brainly.com/question/19005097