The graph of function g is a parabola with the vertex located at (5,9). The parabola also passes through the point (3, 1). Which of the following is an
equation in vertex form for this function?

Answers

Answer 1

I just did this the answer is C. g(x) = –2(x – 5)2 + 9

The Graph Of Function G Is A Parabola With The Vertex Located At (5,9). The Parabola Also Passes Through
Answer 2

The required function is [tex]g(x)=-2(x-5)^2+9[/tex].

Important information:

Vertex of parabola is at (5,9).Parabola passes through the point (3,1).

We need to find the equation in vertex form for the function g.

Parabola:

The vertex form of a parabola is:

[tex]g(x)=a(x-h)^2+k[/tex]         ...(i)

Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is the vertex.

Substitute [tex]h=5,k=9[/tex] in (i).

[tex]g(x)=a(x-5)^2+9[/tex]          ...(ii)

Parabola passes through the point (3,1). So, substitute [tex]x=3,g(x)=1[/tex] in (ii).

[tex]1=a(3-5)^2+9[/tex]

[tex]1-9=a(-2)^2[/tex]

[tex]-8=4a[/tex]

[tex]-2=a[/tex]

Substitute [tex]a=-2[/tex] in (ii).

[tex]g(x)=-2(x-5)^2+9[/tex]

Thus, the required function is [tex]g(x)=-2(x-5)^2+9[/tex].

Find out more about 'parabola' here:

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Related Questions

please solve needed asap

Answers

Answer:

x = 56°

Step-by-step explanation:

Base angles of an isosceles triangle are equal.

This:

The angle of the triangle to our right, which is the third unequal angle = 180 - 2(31)

= 180 - 62

= 118°

The base angle of the triangle to our left = 180 - 118 (angles on a straight line)

= 62°

x = 180 - 2(62)

x = 180 - 124

x = 56°

copy and complete: 7:8:9=x:12:x

Answers

Answer:

kjldsjlkgjvdlskvjlxzk

Step-by-step explanation:

In Austin Texas, there were 42 days where the temperature reached over 100 degrees. 1/3 of those days were in June. How many days in June did the temperature hit above 100?How man

Answers

Answer:  14 days in June

Step-by-step explanation:

Multiply 1/3 × 42.  That is the same as dividing 42/3 = 14

help need done fast pls.

Answers

The total degrees of a triangle is 180.
So
37+63=100
And well
180-100=80
U=80

Answer:

80 degrees

Step-by-step explanation:

Triangle has 180 add the 2 you already have and subtract from 180

6(n+4)=-18
Please please help me

Answers

Answer:

-1

Step-by-step explanation:

-7+4= -3

-3*6= -18

N= -7

Hope this helped! (ノ◕ヮ◕)ノ*:・゚✧

( ゚д゚)つ Bye

A photographer charges $25 to travel to a client's location, plus $55 per hour for her
services. What is the duration, in hours, of a photography session that costs $465?

Answers

Answer:

8 Hours

Step-by-step explanation:

First, you have to subtract the 25$ because we already know that that is a stable value (meaning it will not change)

Then, you have to divide 440 by 55 to get an answer of 8 hours for the session :D

To find total multiply 55 by number of hours (h) and then add 25:

Total = 55h + 25

Given the total solve for h:

465 = 55h + 25

Subtract 25 from both sides

440 = 55h

Divide both sides by 55

H = 440/55

H = 8

It was 8 hours

Coach De Leon purchases sports equipment Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $150.00

Part A: Use the drop downs to create an inequality that represent the situation Lets represent the number of soccer balls and let b represent the number of basketballs.

________ ____ ______

Part B: Given the coach's budget, which of the following is a viable option for the equipment he can purchase?

A) 4 basketballs and 6 soccer balls
B) 5 basketballs and 2 soccer balls
C) 2 basketballs and 7 soccer balls
D) 6 basketballs and 5 soccer balls

Answers

Answer: B  -   5 basketballs and 2 soccer balls

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Find the area of the shape shown below

Answers

Answer:

26.75 units²

Step-by-step explanation:

Decomposing the figure given to us we would have 3 triangles of different dimensions and 1 square.

Find the area of each then sum all together to get the area of the figure.

✔️Area of Triangle 1 (the biggest triangle):

Area = ½*base*height

height = 3.5

base = 2 + 2 + 5 = 9

Area = ½*9*3.5 = 15.75 units²

✔️Area of Triangle 2 (the medium triangle):

Area = ½*base*height

height = 2

base = 5

Area = ½*5*2 = 5 units²

✔️Area of Triangle 3 (the smallest triangle):

Area = ½*base*height

height = 2

base = 2

Area = ½*2*2 = 2 units²

✔️Area of the square:

Area = s²

s = 2

Area = 2² = 4 units²

✅Area of the figure = 15.75 + 5 + 2 + 4 = 26.75 units²

help asap please help​

Answers

Answer:

Answer:

The Prime Factorization is:

2 x 5 x 11

Step-by-step explanation:

Thirty-five less than the square of a number is the same as 2 times the number. Find the number

Answers

9514 1404 393

Answer:

  -5  or  7

Step-by-step explanation:

Let x represent the number. The problem statement tells us ...

  x^2 -35 = 2x

  x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form

  (x -7)(x +5) = 0 . . . . . factor

  x = 7  or  x = -5 . . . . solutions are values of x that make the factors zero

The number could be either -5 or +7.

How much is (576)(812)??

Answers

Answer:

467712

Step-by-step explanation:

Answer:

467,712

You simply just multiply

Which calcuation and answer show how to convert 5/16 to a decimal?

Answers

MCan you please explain more so I can give you the answer as a fraction

In the news you hear tuition was expected to increase from $1200 to $2350 over the next 10 years. This represents a ___% increase from current tuition. Round answers to two decimal places.

Answers

Answer:

95.83%

Step-by-step explanation:

I gave extra points and I will give brainliest

Which of these is an example of a random sample?

A. Mrs. Baker selects the 10 students who raised their hands to volunteer to fill out a survey.

B. Mrs. Baker selects the 10 students whose names are drawn from a bag to fill out a survey.

C. Mrs. Baker selects the 10 students who arrived to class first on Monday to fill out a survey.

D. Mrs. Baker selects the 10 students with the highest grade point averages to fill out a survey.

Answers

Answer:

I think it's A.

Step-by-step explanation:

I hope it is helpful to you

Mai runs around a 400-meter track at a constant speed of 250 meters per minute. How many minutes does it take Mai to complete 4 laps of the track? Explain or show your reasoning​

Answers

Answer:

[tex]6.4[/tex] minutes

Step-by-step explanation:

Given information:

- Track is 400m long

- Mai runs at a constant speed of 250 meters/minute

- - - - - -

To find how many minutes it takes for Mai to complete 4 laps, we need to find the total distance Mai is running for:

[tex]400\times4=1600[/tex] meters

To find how many minutes Mai is running for, we divide by the distance Mai travels per minute:

[tex]1600\div250=6.4[/tex] minutes

∴ Mai takes [tex]6.4[/tex] minutes to run 4 laps around the track.

Hope this helps :)

Can u pls help huryy!!!

Answers

The answer is C I think, I’m pretty sure all others will decrease

Answer:

C.

Step-by-step explanation:

because f(x) is directly proportional to the numerator which greater than the denominator ( 5>1 ).

While in other cases, f(x) is inversely proportional to the greatest value which is the denominator

I WILL MARK BRAINLIEST ! Please help!! Solve for x in the parallelogram below.

Answers

Answer:

x = 3

Step-by-step explanation:

Angle D is congruent to angle B.

Angles E and B are supplementary.

180 - 101 = angle B

B = 79

Solve for x.

79 = 27x - 2

81 = 27x

x = 3

SOMEONE PLZ HELP ME WIT THIS QUESTION

Answers

Answer:

25(x)= 200

Step-by-step explanation:

Total = 200

Per day = 25

x = how many days

25(x)= 200

25(8)= 200

- Sorry i am just a little confused by the question but i hope this helps. Have a great day!

Answer:

x+25=200

Step-by-step explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
m∠XBC =
°

Answers

Answer:

m∠XBC = 135

Step-by-step explanation:

What is the measure of ∠XBC?

m∠XBC = m∠BAC + m∠BCA

3p – 6 = p + 4 + 84

3p – 6 = p + 88

2p – 6 = 88

2p = 94

From the simplified expression, we need to find the value of p first

From the last line we can see that;

2p =94

Divide both sides by 2:

2p/2 =94/2

p = 47

From the expression, m∠XBC =3p-6

m∠XBC = 3(47)-6

m∠XBC = 141 -6

m∠XBC = 135

Hence the measure of m∠XBC is 135

Answer:

135 the person above e is correct

Step-by-step explanation:

A salesperson at a jewelry store earns 3% commission each week. Last​ week, heidi sold $530 worth of jewelry. How much did make in​ commission? How much did the jewelry store make from ​sales?

Answers

Answer:

Heidi made $15.90 total

Evaluate the following expression, when d=2 and z=6
6z + 3(-7d-5)

Answers

Answer:

-21

Step-by-step explanation:

6(6) + 3(-7(2) -5 )

36 + 3( -14 -5)

36 + 3(  -19)

= -21

what is 2000555.3053 time 50464.4023

Answers

1.0009 or 10,095,606,867.19719

HIIIIIIIIIIIIIIIIII
ADDDDDDDDD MEEEEEEEHHHHHHHHHHHH!!!!!!!!!!!!!!!!!
PLLLLLLLLLSSSSSSSSSSSSSSSS

Answers

Answer:

40, because 40 is 2/5ths of 100.

Mark brainlyest pls

Step-by-step explanation:

Answer:

hi

the answer is 60

Step-by-step explanation:

hope it helps and have a nice day!!! :)

Brainiest is appreciated it would really help

There are around 6,678,000 households with pet rabbits in the United States. There are about 126.2 million households in the U.S. According to these figures, what is the approximate percentage of U.S. households with pet rabbits?

Answers

Answer:

C

Step-by-step explanation:

Divide the household with pet rabbits by the total number of household in the U.S. to get the proportion of U.S. households with pet rabbits. Then, convert the proportion to a percentage.

6,678,000/126,200,000 ≈ 0.05 = 5%

Answer:

C

Step-by-step explanation:

you have to divde the household pets

The highest recorded temperature in the world is 120°F. The lowest recorded temperature in the world is -129.6°F. What is the difference in the two temperatures?



Group of answer choices

9.6 degrees

29.6 degrees

229.6 degrees

249.6

Answers

Answer: 249.6 degrees

Explanation: When you see the subtraction symbol followed by a negative symbol, turn the two signs into a plus sign. As a result, the problem turns into a simple addition problem.

120 + 129.6 = 249.6

There are 32 desks in a room,
If x represents the number of rows of desks, which expression would equal the number of desks in each row?
32 x
32-x.
32 +x
32/x

Answers

Answer
32/x
Explanation
I think this is correct, the others wouldn’t make sense

The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.

Given that, there are 32 desks in a room.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Now, x represents the number of rows of desks.

The number of desks in each row = Total number of desks in a room / The number of rows of desks

= 32/x

The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.

To learn more about an expression visit:

https://brainly.com/question/13947055.

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There are 48 candies in a pack. Twelve are red. 18 are yellow. What is the ratio of reds to yellows?​

Answers

Answer is   5:3

This means the ratio of reds to yellows is 5 to 3

=========================================================

Work Shown

We have 48 candies total and 18 yellow. This means there are 48-18 = 30 red assuming there are no other colors.

The ratio of red to yellow is 30:18. We simply list the number of reds (30), followed by a colon, then the number of yellows.

(number of red):(number of yellow)

The order is important. We cannot swap the items. This is because "reds to yellows" in the instructions has "red" come first.

Once you have the ratio 30:18, you divide both parts by the GCF 6 and you'll end up with the final answer 5:3

So for every 5 red candies we have 3 yellow candies. We can say "the ratio of reds to yellows is 5 to 3".

if i am on the computer for 5 hours every weekday for a year how long am i on the computer?

Answers

Answer: 300

Step-by-step explanation:

You are on the computer 5 hrs/per weekday, 25 hrs per week, 1300 hrs per year

What equation is parallel to
y= - 1\4x + 5 and passes through (2,-3)

QUICK

Answers

Given:

The equation of parallel line is [tex]y=-\dfrac{1}{4}x+5[/tex].

Required line passes through (2,-3).

To find:

The equation of line.

Solution:

We have,

[tex]y=-\dfrac{1}{4}x+5[/tex]

On comparing this equation with [tex]y=mx+b[/tex], where m is slope, we get

[tex]m=-\dfrac{1}{4}[/tex]

Slope of two parallel lines are always same. So, slope of required line is [tex]m=-\dfrac{1}{4}[/tex].

The required line passes through the point (2,-3) having slope [tex]m=-\dfrac{1}{4}[/tex], so the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-3)=-\dfrac{1}{4}(x-2)[/tex]

[tex]y+3=-\dfrac{1}{4}(x)-\dfrac{1}{4}(-2)[/tex]

[tex]y+3=-\dfrac{1}{4}(x)+\dfrac{1}{2}[/tex]

Subtracting 3 from both sides, we get

[tex]y=-\dfrac{1}{4}(x)+\dfrac{1}{2}-3[/tex]

[tex]y=-\dfrac{1}{4}(x)+\dfrac{1-6}{2}[/tex]

[tex]y=-\dfrac{1}{4}(x)-\dfrac{5}{2}[/tex]

Therefore, the equation of required line is [tex]y=-\dfrac{1}{4}(x)-\dfrac{5}{2}[/tex].

Please I will give you 10 plus 5 more for brainliest

Answers

Answer:

1-12

Step-by-step explanation:

1. left  2. right  3. equal  4. left  5. left  6. equal

sry i was running out of time.

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