The graph of the function f(x) = ax^2 + bx + c has vertex at (0, 2) and passes through the point
(1, 8). Find a, b and c

Answers

Answer 1

Answer:

Step-by-step explanation:

You need to use vertex form of a quadratic to solve this.

Consider the vertex to be [tex](h,k)[/tex]

Another way of representing a quadratic is in "vertex form":

[tex]f(x) = a(x-h)^2+k[/tex]

Now all you have to do is solve for a.  You know that the vertex is [tex](0,2)[/tex] and you have know the point of [tex](1,8)[/tex].  Now, all you have to do is plug in these values and solve for a.

[tex]8 = a(1-0)^2+2\\8=a(1)^2+2\\8=a+2\\a=6[/tex]

Now you know the equation is [tex]f(x) = 6(x-0)^2+2[/tex] , but you need it in quadratic form.  All you have to do is solve is distribute the 6:

[tex]6x^2+2[/tex]

You get:

a = 6

b = 0

c = 2

Please mark this as brainliest if it satisfies your question


Related Questions

The temperature of a hot steak starts at 140f and decreases at 5f per minute what will the temperature of this steak after a certain number of minutes

Answers

Answer:

T(m) = (140 - 5m)

Step-by-step explanation:

Given that :

Initial temperature, a = 140 F

Rate of decrease = 5 F per minute

Given a certain Number of minutes, m

Temperature, T after m minutes ;

Using the formula :

Final temperature = Initial temperature - 5*number of minutes)

T(m) = (140 - 5m)

Given that ; m = 10

T(10) = 140 - 5(10)

T(10) = 140 - 50

T(10) = 90 F

Can someone help me What is 20% of 56?

Answers

11.2

Solution for What is 20 percent of 56:

20 percent *56 =

(20:100)*56 =

(20*56):100 =

1120:100 = 11.2

Now we have: 20 percent of 56 = 11.2

Question: What is 20 percent of 56?

Percentage solution with steps:

Step 1: Our output value is 56.

Step 2: We represent the unknown value with x.
Therefore 20% of 56 is 11.2.
look at the image for the work!!

Please help me with this.

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The function h(t) = 162 +64t models the height, in feet, of a ball t seconds after it was kicked into the air. Which statement is true?
A. The ball reaches its maximum height 4 seconds after it was kicked.
O B. The ball reaches its maximum height 8 seconds after it was kicked.
O C. The ball takes 2 seconds to hit the ground.
D. The ball takes 4 seconds to hit the ground.

Answers

The answer is C hope this helpsss

If the acceleration is 600m/s/s and the mass is 300kg, calculate the force? *

Answers

Answer:

600 m/s2 ×300 kg = 180000 kg.m/s2

Answer:

180000Kgm/s2

Step-by-step explanation:

Force is the product of mass and acceleration. So F=MA

F=600 x 300

F=180000

WILL GIVE BRAIN LIST 4+8 diveded 2 x (6-3)

Answers

Answer:

16

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Use Pemdas

6 - 3 = 3

4 + 8 = 12

12 / 2 = 6

6 + 3 = 9

An experiment was conducted by some students to explore the nature of the relationship between a person's heart rate (measured in beats per minute) and the frequency at which that person stepped up and down on steps of various heights. Three rates of stepping and two different step heights were used. A subject performed the activity (stepping at one of the three stepping rates at one of the two possible heights) for three minutes. Heart rate was then measured at the end of this period. The variables "stepping rate" and "step height" are the

A. factors.
B. levels.
C. controls.
D. units.
E. response variables.

Answers

Answer:

A. factors.

Step-by-step explanation:

The correct option is - A. factors.

Reason -

The variables "stepping rate" and "step height" are the factors because a activity is performed in which stepping at one of the three stepping rates at one of the two possible heights for three minutes.

The activity is based on both the variables stepping rate and step height.

Please help!! Thanks

Answers

I hope this helps you

Help me figure out what "w" is

Answers

Answer:

w = 17.4º OR 17 2/5º

Step-by-step explanation:

5w - 3 = 90º

5w = 90º - 3

5w = 87º

w = 17.4º OR 17 2/5º

Hope that helps, and sorry if it's wrong!

34. Find the solutions to x2 = 12.

Answers

Answer:

x = 6

Step-by-step explanation:

6 x 2 = 12

Answer: look at the picture

Step-by-step explanation: Hope this help :D

100 POINTS AND BRAINLIEST

What is the common difference of the arithmetic sequence? −17, −13, −9, −5, −1

A) -17
B) -13
C) 4
D) -4

Answers

Answer:

The common difference is 4 or C on your test

Step-by-step explanation:

-17+4= -13

-13+4= -9

And so on...

standard form of f(x)=(x-1)(x+2)(x-3)

Answers

Answer:

f(x)=x^3-2x^2-5x+6

Step-by-step explanation:

this should be right if it isn't, then you probably wrote it wrong.

Answer:

x^3 - 2x^2 - 5x+ 6

Step-by-step explanation:

At Mr. Clark's shop, his employees work 20 hours each week and
earn $7 per hour. He uses this expression to find the
total weekly payroll for n employees.
7. (20. n)
Which is an equivalent expression that can be used to find the
total weekly payroll?
B
A 7. (20 − n)
(7 • 20).
с 20 · (n + 7)
D (n + 20) • 7

Answers

Answer:

B if there is an N at the end or beginning of it, Not sure if it cut off or not.

Step-by-step explanation:

Well you would need to do 20(7) to get 140, then multiply that to N. I would say B because I'm assuming you're missing out on some part of it, if it is N at the beginning or end then it is B.

State if the three numbers can be the measures of the sides of a triangle,
6,8,9
No
Yes

Answers

No since normally the sides would be the same length. Don’t press the links!

The measure of two sides are given. Between what two numbers must the third side fall?

Answers

Answer:

between 12 and 17

hope helps

The measure of the third side of the triangle will fall between 5 and 29.

What is the Triangle Inequality Theorem?

Triangle Inequality Theorem is that for two sides of a triangle, the third side cannot be equal to or greater than the third side's length.

From the Triangle Inequality Theorem,

The sum of the lengths of any two sides of a triangle must be greater than the third side, then the third side of this triangle must be strictly less than 29.

But we can't make the length of the third side too small, either.

If x is the length of the third side, then x + 12 > 17, which means that x > 5

Therefore, the length of the third side must fall between 5 and 29.

Hence, the measure of the third side of the triangle will fall between 5 and 29.

Learn more about Triangle Inequality Theorem, click;

https://brainly.com/question/1163433

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What is the measure of \angle A in the triangle above?

Answers

Answer:

m<A = 62

Step-by-step explanation:

180 - 116 = 64

3x - 13 + 2x + 4 + 64 = 180

5x + 55 = 180

5x = 125

x = 25

<A:

3x - 13

3(25) - 13

75 - 13

62

Solve this please )x

Answers

What the what am I supposed to-

Answer:

okay so first of all who ever gave you this question, murder them. now second of all if u still have to do this even after murdering them then murder everyone. Finally, Don't stress on this and go watch a movie or something.


Use the circle below to find the correct value of x:

Answers

Answer:

113°

Step-by-step explanation:

Measure of central angle is equal to the measure of its corresponding arc.

Here, x is the measure of the central angle and 113° is the measure of its corresponding arc.

Therefore, x = 113°

Help aspvhbhhhhhhhbjnjjnn

Answers

Answer:

The area of this triangle is 7.5 square feet.

Step-by-step explanation:

Area of a triangle formula: A = 1/2 * base * height;

Apply formula to equation

(5 * 3)/2 = 7.5

The area of a circle is 121π cm squared. What is the circumference in terms of π?

Answers

Answer:

38 cm cubic

Step-by-step explanation:

C = 2√πA

C = 2√3,14 x 121

C = 2√379,94

C = 2 x 19,49204966133629

C = 38,98409932267258 = 38 cm cubic

hope this help !

(don't forgot to make this the best answer)

Joe and his 2 friends are making Smores. Each Smore uses 1/4 of a chocolate bar and the package has 8 chocolate bars. How many Smores can the boys make?

Answers

Answer:

They made 2 smores. 1/4(8) = 2

In PQR the measure of R=90, QR=61 feet and RP=90 find the measure of P to the nearest degree.

Answers

Answer:

<P = 56 degrees

Step-by-step explanation:

Given the following

m<R = 90 degrees

QR = 61feet = Adjacent

RP = 90 feet= Opposite

Required

tan<P = opp/adj

Tan<P = 90/61

<P = arc tan (90/61)

<P = arctan 1.4754

<P = 55.9

<P = 56 degrees to the nearest degree

Simplify the expression to a polynomial in standard form: (4x-1)(3x-2)(x+1)

Answers

Answer:

12x^3+x^2-9x+2

Step-by-step explanation:

(4x-1)(3x-2)(x+1)

(12x^2-8x-3x+2)(x+1)

(12x^2+(-8x-3x)+2)(x+1)

(12x^2-11x+2)(x+1)

12x^2(x+1)-11x(x+1)+2(x+1)

12x^3+12x^2-11x(x+1)+2(x+1)

12x^3+12x^2-(11x^2+11x)+2(x+1)

12x^3+12x^2-11x^2-11x+2x+2

12x^3+(12x^2-11x^2)+(-11x+2x)+2

12x^3+x^2-9x+2

Solve for x and then find the measure of

Answers

Answer:

x = 11

∠B = 80°

Step-by-step explanation:

∠A =∠B because they are corresponding angles

8x - 8 = 5x + 25

3x = 33

divide both sides of the equation by 3:

x = 11

∠B = 5(11) + 25 = 80°

A spinner with 8 equally sized slices has 2 blue slices and 6 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?

Answers

Answer:

0

Step-by-step explanation:

Probability = required outcome / Total possible outcomes

Total possible outcomes = (blue slice + yellow slice) = (2 + 6) = 8

Required outcome = number of red slices = 0

Probability of stopping on a red slice :

(0 / 8) = 0

NI -
16
2
Which of the following is equivalent to
O 6
08
O 12
O 64

Answers

Answer:B

Step-by-step explanation:

The equivalent expression is 8.

Option B is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

[tex](16^{3/2})^{1/2}[/tex]

This can be written as,

= [tex]16^{3/2 \times 1/2}[/tex]

= [tex]16^{3/4}[/tex] ______(1)


Now,

16 = [tex]2^4[/tex] ______(2)

Now,

From (1) and (2),

= [tex]2^{4 \times 3/4}[/tex]

= 2³

= 8

Thus,

The equivalent expression is 8.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

Please answer with explanation

Answers

Answer:

2000 linear feet

becouse 21-19=2 so thats his profit per linear foot

and it costs him 4000 so to get that amount he has to sell 2000 because 2000×2=4000

How many more people in the world speak Chinese than speak English?

Answers

Answer:

The answer is 912 million

Step-by-step explanation:

912 million people speak Chinese in the world than they do English.

Please please help I beg you

Answers

Answer:

Step-by-step explanation:

1. In which number does the 6 have a value that is one-tenth the value of the 6 in 34,7612
A. 16,305
B. 28,695
C. 51,364
D. 78,426

Answers

I think it's C, I could be wrong though
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