The height of a thrown ball is a quadratic function of the time it has been in the air. The graph of the quadratic function is the parabolic path of the ball.The vertex of the graph is (1, 20) and the path of the ball includes the point (0,4). What is an expression that defines this function? Write the quadratic function in vertex form.

Answers

Answer 1

Answer:

f(x) = a(x - 1) + 20

Step-by-step explanation:

Vertex form is written in this format: f(x) = a(x - h) + k. The vertex point is written in the form (h,k). To write the vertex in the equation, fill in the digits where they belong.

Hope it helps!

Answer 2

The ball's parabolic route is represented by the quadratic function's graph. The quadratic function is x²-2x+4=0.

Given that,

A thrown ball's height is a quadratic function of the amount of time it has been in the air. The ball's parabolic route is represented by the quadratic function's graph. The ball's route includes the location (1, 20), which is the graph's vertex (0,4).

We have to find what does the expression for this function look like? In vertex form, write the quadratic function.

What is the vertex form of a parabola?

Use y= a(x-h)² + k as the vertex form of a parabola.

(The parabola opens upward if "a" is positive and downward if "a" is negative.) Additionally, the vertex of the (h,k) is a parabola.

The vertex of the parabola (h,k) is (1,20)

The a value is 4 and y as 0.

y=a(x-h)²+k

0=4(x-1)²+20

0=4(x²-2x+1)+20

0=4x²-8x-4+20

0=4x²-8x+16

4x²-8x+16=0

x²-2x+4=0

Therefore, the quadratic function is x²-2x+4=0.

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Related Questions

Find the area of the shape

Answers

Answer: The area of the shape is 180 mm


Explanation: in photo below

A dress is on sale for 35\% off of the regular price.

If d represents the regular price of the dress, which expression represents the sale price of the dress?


A.
0.35d

B.
0.65d

C.
1.35d

D.
1.65d

PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.

The sale price of the dress is $
.

Answers

Answer:

Expression that represents the sale price of the wedding dress is  

Solution:

Given that, the dress is on sale for 35 % off the regular price

Let the regular price of dress be "w"

To find: Expression that represents the sale price of the wedding dress

Let "s" be the sale price of wedding dress

Sale price = Regular price - discount price

Discount price is given as:

Discount price = 35 % of regular price

Discount price = 35 % of w  

Thus discount price = 0.35w

Expression for the sale price of the wedding dress:

Sale price = Regular price - discount price

s = w - 0.35

s = 0.65

s= 0.65

Thus expression that represents the sale price of the wedding dress is

s=0.56

consider the absolute value functions c and d





which statement correctly describes these functions?
A.The maximum value of d is 5 less than the minimum value of c

B. The maximum value of d is 3 less than the maximum value of c.

C.The minimum value of d is 5 more than the maximum of c

D. The minimum value of d is 3 more than the maximum of value c.

Answers

B hopefully, the maximum was always less

Find the value of x 116 degrees and 33 degrees

Answers

Answer:

x = 31 degrees

Step-by-step explanation:

This is a triangle because there are 3 angles so they all add up to 180 degrees.

116 + 33 + x + 180   Add 116 and 33

149 + x = 180    subtract both sides by 149

x = 31


What is the resulting cross section if the cheesecake was sliced parallel to its points?

Answers

Answer:

Step-by-step explanation:

??What is parallel to a point?

If the cut is parallel to the cut-off point, the cross-section is a rectangle.

Find the value of k that makes the function continuous

Answers

Answer:

13/3

OR

4.33333

Step-by-step explanation:

For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.

To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction

2x^2 - 3 -15

2x^2 - 18

2* (x^2 - 9)

2 * (x + 3) (x - 3)

this is perfect because this cancels out the x - 3 on the bottom

so the function become f(x) = 2 * (x + 3)

When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12

Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.

k*(3) - 1 = 12

k*3 = 13

k = 13/3

k = 4.33

Find the unit rate.. If a family travels in their mini-van for 465 miles and uses 15 gallons of gas what is the mileage per gallon?
10 points

Answers

465 miles 15 galons
x miles 1 gallon
x=465•1/15
x=465/15
x=31
Rate is 31 mirage per gallon

Suppose we have 14 boxes of pastries (each box of a different flavor), each with a scone and a muffin inside. For example, one box has a raspberry muffin and a raspberry scone. How many different ways can we select exactly 5 muffins and 9 scones so that each one is a unique flavor? (Order does not matter)

Answers

Answer:

Step-by-step explanation:

What is the correct order of operations? *
PEMDAS
O MDPASE
ASPEMD
PASEMD

HELPPPPPPP

Answers

Answer:

PAMDAS

Step-by-step explanation:

PEMDAS

hope it helps !

Write 5x – 4y = 10 in slope-intercept form

Answers

y=5/4x + 5/2 hope this helped

WILL GIVE BRAINLEST This list gives the areas of different garden plots in square meters.

5.5, 6.5, 6.0, 6.0, 6.5, 6.0, 6.5, 7.0, 5.5, 6.5, 5.5, 6.0, 7.0, 5.5, 5.5, 6.5, 6.0, 6.5, 6.5, 6.0, 7.0

Create a line plot to display the data.

To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.

Answers

Answer:

Step-by-step explanation: Let me help

Answer:

i go k 12 i im taking the test rn

Step-by-step explanation:

5.5   6.0    6.5  7.0

                           3

                  7

         6  

5

   

help please
thank you for your help

Answers

Answer:

3(7+x²)x-2

3x(7+x²)-2

21x+3x³-2

PLEASE HELP WILL MARK BRAINLIST

Answers

Answer:

the answer for question 2 is (D)

I don’t understand, can someone help?

Answers

Answer:

The answer is 3

Step-by-step explanation:

if the other side is 10 then 2x+4 should be 10

2*3+4=10

Please find the square root. Round your answer to the nearest tenth.
√81.4 =​

Answers

0Answer: 9.0

Step-by-step explanation:

.

hey so i need help on my khan so please please please help

Answers

Answer:

Step-by-step explanation:

Which equation is true for the value x = 15?

Answers

Answer:

2x-15=15

where x=15

2(15)-15=15

30-15=15

Answer:

2x-15=15

where x=15

2(15)-15=15

30-15=15

lol please help !!!!!!!

Answers

51
Do it like you normally would! Don’t let the question confuse you

If Q1=5 and Q3=15, what is the Interquartile range (IQR) and what does it tell you about the data?​

Answers

It would be 15-5=10 that is because you subtract q3-q1

PLS HELP I WILL GIVE BRAINLYEST

Answers

Answer:

hey

Step-by-step explanation:

pls help me then i help u

If the radius is 8m, what is the diameter​

Answers

Answer:

16m

Step-by-step explanation:

radius is half of diameter​

Please answer this question:

1.)
[tex] {3}^{n + 2} + \: ({3}^{n + 3} - \: {3}^{n + 1})[/tex]
2.)
[tex] \frac{( {25}^{ - 1} + ( {25}^{ - 2})}{( {625}^{0} + ( {25}^{ - 2} )}[/tex]
hope you can help me. thank you in advance. I'll give the brainliest. ​

Answers

Answer:

[tex] {3}^{n + 2} + \: ({3}^{n + 3} - \: {3}^{n + 1} ) \\{ 3 }^{n + 2} + {3}^{n + 1} ({3}^{2} + 1) \\ {3}^{n + 2} + {3}^{n + 1} (9 + 1) \\ {3}^{n + 1} (3 + 10) \\ {3}^{n + 1} 30 \\ {3}^{n} \times 3 \times 30 = 90 \times {3}^{n}[/tex]

second one 13/313

5 1/3 + (2 2/3 + 1 1/3)

Answers

answer: 9 and 1/3!! brainliest are appreciated

URGENT PLZ HELP

Solve for x. Assume that lines which appear to be diameters are actual diameters.

Answers

Answer:

Step-by-step explanation:

This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.

X+114=111

add negative -114 to each side to get X alone.

-114+X+114= 111+-114

X=-3 .   Answer negative 3

The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long. Any washers that do not meet this requirement must be discarded. What percentage of washers will the factory have to discard

Answers

Answer:

32%

Step-by-step explanation:

Let x be the mean of the values and σ their standard deviation.

Since the minimum value of the diameter of the washers is 1.53 mm, then

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

x - σ = 1.53 mm

+

x + σ = 1.65 mm  

2x = 3.18

x = 3.18/2

x = 1.59 mm

Subtracting (1) and (2), we have

x - σ = 1.53 mm

-

x + σ = 1.65 mm  

-2σ = -0.12

σ = -0.12/-2

σ = 0.06 mm

Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%

This question is based on the percentage. Thus, 32%  of washers will the factory have to discard.

Given:

The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.

We need to determined the percentage of washers will the factory have to discard.

According to question,

Let x be the mean and σ be their standard deviation.

The minimum value of the diameter of the washers is 1.53 mm.

Then,

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

   x - σ = 1.53 mm  

+  x + σ = 1.65 mm  

⇒ 2x = 3.18

We get,

x = 1.59 mm

Subtracting (1) and (2), we have

 x - σ = 1.53 mm

- x + σ = 1.65 mm  

⇒ -2σ = -0.12

We get,

σ = 0.06 mm

Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.

And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.

Thus, 32%  of washers will the factory have to discard.

For more details, prefer this link:

https://brainly.com/question/13703753

What percent of 84 is 42

Answers

Sorry if I’m wrong but i believe it’s 50.

solving a system of linear equations algebraically:

Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25

answer choices:
x=1

x=1.78

x=3

x=5.33

Answers

It was so easy xD

its x=1

y=12×1+7

y=-6×1+25

=19

First one to answer this gets BRAINLIEST no cap. (Look at the pic)

Answers

Answer:

36.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The formula to solve this is a+b)/2*h

4+5=9

9/2=4.5

4.5*8= 36

Find the rate of change in table plsss helppp!!!!

Answers

Answer:

.25 is the answer

Step-by-step explanation:

.5/2=.25

factor out the combine term 21x+49y​

Answers

(not sure if this is right just trying to help) 7(3x+7y)
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