The quadratic function d = –3x^2 + 16 models a skateboarder’s distance, in feet, from the bottom of a hill x seconds after the skateboarder starts moving down the hill. After how many seconds is the skateboarder 8 ft from the bottom of the hill?

Answers

Answer 1

Answer:

To find the solution, plug in 8 for d

d=-3x2+16  

8=-3x2+16  Subtract 8 from both sides

0=-3x2+8

Now, use the quadratic equation to solve for x  

 

a=-3

b=0

c=8

x=1.63 or  

C. 1.6s

Step-by-step explanation:

Answer 2

The skateboarder is 8 feet from the bottom of the hill after 1.633 seconds.

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given that,

Quadratic function which models a skateboarder’s distance, in feet, from the bottom of a hill x seconds after the skateboarder starts moving down the hill is,

d = –3x² + 16

We have to calculate after how many seconds is the skateboarder 8 ft from the bottom of the hill.

d = 8 feet. Substitute it.

–3x² + 16 = 8

–3x² = 8 - 16

3x² = 8

x² = 8/3

x = √(8/3) seconds

  ≈ 1.633 seconds

Hence the time is approximately 1.633 seconds.

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Related Questions

Find the missing angle.

Answers

Answer:

127

Step-by-step explanation:

Answer:

x= 127 degrees

Step-by-step explanation:

use the vertical angles theorem to say that x=90*+37*. So, x=127 degrees.

A functiom is graphed on the coordinate plane.

What is the value of the function when x=4?​

Answers

Answer: The answer is 2. Go open of the x line 2 then it lines up with the y.

Answer:

I thought it was 1

Step-by-step explanation:

Ying Zyiyu covered the first 300 miles of a trip going at 60 mph and the last hundred going at 40 mph. What was his average speed for the entire trip?

NEED IN 5 MINUTES

Answers

Answer:

Average speed is (total distance)/(total time).

To find the total time we need to do some division.

Time for 200 miles=200/50=4 hours.

Time for 100=100/40=5/2 hours.

Total time=13/2 hours. Total distance=200+100=300 miles.

Av speed=300/(13/2)=300×2/13=600/13=46.15 mph approx.

Please Answer ASAP!

Subtracting a number is the same as adding its opposite. Use this understanding to complete each of the equations below.

Enter numbers to evaluate ‐13−23.

‐13−23= ‐13 + ___

= ___

Enter numbers to evaluate ‐13−(‐23).

‐13−(‐23)= ‐13 + ____

= _____

Answers

Step-by-step explanation:

-13 - 23 = -13 + (-23)

= -36

-13 - (-23) = -13 + 23

= 10

Answer:

Step-by-step explanation:

-13 - 23 = -13 + (-23)

= -36

-13 - (-23) = -13 + 23

=10

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

Answers

Answer:

The area of the shaded area is 27 [tex]\pi[/tex]

Step-by-step explanation:

The formula for the area of a circle is :[tex]\pi *radius^2[/tex]

To work this out you would first have to work out the area of the circle. You can do this by multiplying [tex]\pi[/tex] by the radius of 6 squared, this gives you 36[tex]\pi[/tex]. However the question is asking for that section of the circle.

To work out the area of the shaded section you will first have to look at the missing angle, as it is 90° . A circle has 360° and so if we divide 360 by 90, this gives us 4. This tells us that [tex]\frac{3}{4}[/tex] of the circle is shaded as [tex]\frac{1}{4}[/tex] is not.

To work out the area of the shaded area you would divide the area of the whole circle which is 36[tex]\pi[/tex] by 4, this gives us 9[tex]\pi[/tex]. This tells us the area of 1 quadrant of the circle.

The next strep is to multiply 9[tex]\pi[/tex] by 3, this gives us 27[tex]\pi[/tex]. This is because now that we know the area of one quadrant we can find the area of the shaded area which covers 3 quadrant of the circle.

1) Multiply  [tex]\pi[/tex]  by 6 squared.

[tex]\pi *6^2=36\pi[/tex]

2) Divide 360 by 90.

[tex]360/90=4[/tex]

3) Divide 36 [tex]\pi[/tex] by 4.

[tex]36\pi/4=9\pi[/tex]

4) Multiply 9 [tex]\pi[/tex]  by 3.

[tex]9\pi*3=27\pi[/tex]

Answer:

27 pi

Step-by-step explanation:

Which statement best describes the function represented by the graph?

Answers

Answer:

Step-by-step explanation:

You read a graph from left to right, just like you would read words on a page in a book.  At the left-most "side" of this graph, we are way up at positive infinity.  As we move from left to right, the graph begins to drop in y values.  A drop in y values indicates a decreasing graph.  So it's decreasing, we have that part.  As the graph grows up into y values that increase forever, it will also grow in the x direction to negative infinity.  As the graph decreases in y values from left to right, the x values increase into positive infinity.  So your choice is the second one: The function is decreasing on the interval (-∞, ∞).

Answer:

It's B

Step-by-step explanation:

Which statement is true?

Answers

Answer:

all parallelograms are rectangles

Step-by-step explanation:

the have 2 sets of parallel lines that are equal in length

Which expression can be used to find the surface area of the following rectangular prism?

Answers

Answer:

d

Step-by-step explanation:

to find the surface area you have to add all the following numbers and double them

hope this helps

Answer:

D, if it is correct plz say thanks to let me know it is correct

Step-by-step explanation:

Help me asap I’m turning this in late please hep

Answers

Answer:

The answer is 27 If not please correct me!

Answer:

27

Step-by-step explanation:

You need to plug 100 in for m and multiply that. Then you need to add 7 to 20 to get your answer.

Hope this help.

X = ________ ft. (No guessing please)

Answers

Answer:

x=12

Step-by-step explanation:

12(x+8)= 8(30)

Distribute

12x+ 96= 240

Subtract 96 on both sides

12x= 144

Divide 12 on both sides

x=12

The answer would be x=12 :)

|5−4r|=17
Can someone answer this question for me?? I will mark you brainliest if you get the correct answer!!

Answers

Answer:

R=-3 which is the same thing as 11/2

Step-by-step explanation:

Answer:

r=−3,11/2

Step-by-step explanation:

thats what I got

A continental breakfast has a choice of toast, muffin, or a bagel AND a choice of coffee, milk or apple juice. How many possible outcomes are there?

Answers

There are an unknown number of possible outcomes. To figure this out all we need to do is multiply the amount of options per category to get the number of possible combinations.

In this case, there are 3 choices of food items and 3 choices of drinks.

Therefore, we need to multiply 3 by 3 to get the combinations.

3 times 3 equals 9

In conclusion, there are 9 possible combinations to be made from the choices presented.

Answer:

there are 12 possible outcomes

Step-by-step explanation:

Evaluate (if possible) the six trigonometri
trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.)

t= 4π/3

Answers

Answer:

undefined

Step-by-step explanation:

Frank will paint a wall that measures 10 feet by 14 feet what is the area of the wall that frank will paint

Answers

Answer:

140 ft squared

Step-by-step explanation:

Answer:

140 ft

Step-by-step explanation:

10 × 14 = 140 so the answer is 140 ft

Math question down below

Answers

Answer:

24

Step-by-step explanation:

1 US Gallon = 8 US Pints

3 US Gallons = 24 US Pints

2/3 divided by 1 1/2

Answers

Answer: 0.4

Step-by-step explanation:

Estimate the square root to the nearest (a) integer and (b) tenth.

√-335/2

Answers

I had the same question on my homework.

Answers:

a) -13

b) -12.9

I need an answer quick!!!!

Answers

Answer:

investment 2 $400 Simple Interest Rate

Step-by-step explanation:

Which description best compared the graph of the two functions below?

Answers

Answer:

The description that best compares the graph of the two function is:

         The line for function A is steeper.

Step-by-step explanation:

Answer:

The line for function a is a steeper

Step-by-step explanation:

PLEASE HELP AGAIN, SORRY I SUCK AT MATH.

Answers

Answer:

C. 24 degrees

Step-by-step explanation:

All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.

120+36=156

Then subtract the sum of the known angles from 180 to find the degree of the unknown angle

180-156=24

Answer: C

Step-by-step explanation:

I'll explain why.

The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.

The sum of the angles (x+36+120) must be equal to 180 (=180)

x+36+120=180

Combine like terms

x+156=180

Subtract 156 to isolate x

x=180-156

x=24


If f(x)=x-1/3 and g(x) = 3x+1, what is(fºg)(x)?

Answers

Answer:

(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

A train moves at a constant speed of 8 miles every 6 minutes. How far will the train in 3 minutes, 15 minutes, and 60 minutes.

Answers

Answer: If the train moves a constant speed of 8 miles for every 6 minutes then if the time where to be 3 minutes you would have to divided 2 and 8 because the time was split in half you would also have to split the 8 as well. Now if the time was 15 minutes you would have to add more since 6 got 9 more you will have to add 9 more to 8.

6 minutes = 8 miles

3 minutes = 4 miles

15 minutes = 17 miles

Hope this helps you :3.

The train will move 4 miles, 20 miles and 80 miles in 3 minutes, 15 minutes and 60 minutes respectively.

What is multiplication?

Multiplication is mathematical arithmetic operation. It is also a process of adding same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times or 3 is added 2 times.

Given, a train moves at a constant speed of 8 miles every 6 minutes.

That means in one minute,

= total number of miles / total time taken

= 8 /6

= 4/3 miles

Now, for 3 minutes means 3 times 4/3

= 3 x 4/3

= 4 miles

For 15 minutes,

= 15 x 4/3

= 20 miles

For 60 minute

= 60 x 4/3

= 80 miles.

Therefore, the train will move 4 miles, 20 miles and 80 miles in 3 minutes, 15 minutes and 60 minutes respectively.

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help please, what is the the perimeter of the figure to the nearest hundredth.

Answers

Answer:

100

Step-by-step explanation:

(09.01 LC))
For f(x) = x2 and g(x)=(x-3)2, in which direction and by how many units should f(x) be
shifted to obtain g(x)? (5 points)

Answers

Answer:

3 units to the right

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift of a units to the left

• If a < 0 then a shift of a units to the right

Thus

g(x) = (x - 3)² is f(x) shifted to the right by 3 units

The McPhearson family went fishing. They caught 7 fish. The weights of the fish were 15, 16, 15, 13, 19, 20, and 21 pounds. What is the mean weight of these fish? Answer options with 4 options A. 15 B. 16 C. 17 D. 18

Answers

Answer:

C. 17

Step-by-step explanation:

The mean weight can be calculated by adding the numbers 15 + 16 + 15 + 13 + 19 + 20 + 21 divided by the number 7, which is the amount of numbers you just added.

(15 + 16 + 15 + 13 + 19 + 20 + 21)/7

the outcome = 17 which corresponds to answer C.

Answer: The answer is C.17

Step-by-step explanation:

A man has 1/4 of a kilogram of couscous. He shared them equally among 2 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
I got an answer that felt way off... I just need to make sure I'm right!

Answers

Answer:

1/8 maybe

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

math question down below screen shot

Answers

Answer:

the screen shoy isnt showing up

Step-by-step explanation:

If AQSR - AYXZ describes two triangles, which other statement is also true?

Answers

Answer:

RSQA ~ ZXYA

Step-by-step explanation:

Probability of landing in the white not the red. Please helpppppppppppp!

Answers

Fun, geometry disguised as probability.

That's a pentagon, which we can view as 10 right triangles with legs a and s/2 (half of s) and hypotenuse r.  So area of the pentagon is

P = 10 × (1/2) a (s/2) = 10 (1/2) (3.2) (4.7/2) = 37.6

The area of the circle is πr² so the circle area is

C = π (4²) = 50.265482

The white area is the difference, C-P, and the probability we seek is the fraction of the circle that's white, so (C-P)/C.

p = (C-P)/C =1-P/C = 1-37.6/50.265482 = 0.251971

Answer: 0.25

Higher than I would have guessed from the figure.

can someone help me please?

Answers

Answer:

(10,11)

(8,7)

(6,3)

(4,-1)

(2,-5)

(0,-9)

(-2,-13)

(-4,-17)

Answer: the image of how its supposed to be graphed is listed down below! hope this helped!

Step-by-step explanation:

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.

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