Mathematics High School

The equation of a parabola is y=x^2–4x+13. Write the equation in vertex form.

Simplify any fractions.

Answers

Answer 1

Answer:

y = (x - 2)² + 9

Step-by-step explanation:

To obtain the equation in vertex form use the method of completing the square.

Add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 + 13

  = (x - 2)² + 9 ← in vertex form

Answer 2

Answer:

vertex form : y=(x-2)^2+9

Step-by-step explanation:

To convert a parabola from standard form y=x^2-4x+13 to vertex form, we complete the square.

first, complete the square using the x-terms, use the constant term to adjust and make a perfect square.

y=  x^2-4x+4   +  9

Factor the first three terms on the right-hand side.

y=(x-2)^2 + 9

the resulting express is then the vertex form, which means that

the vertex is at (x-2) = 0, x=2, and at y=9.  

The Equation Of A Parabola Is Y=x^24x+13. Write The Equation In Vertex Form.Simplify Any Fractions.

Related Questions

8. Sven sells hamburgers at a ballpark. He earns $14.50/h, plus $0.50
for each hamburger he sells.
a) How much will Sven earn in a 3 hour shift if he sells 24
hamburgers?
b) How many hamburgers must Sven sell to earn $120 in a 6.5 hour
shift? (round to the nearest burger)

Answers

Answer:

Part A: $55.50

Part B: 52 hamburgers(sorry if I am wrong for part b but I think it is right)

Step-by-step explanation:

Part A:     $14.50 x 3= $43.50  +         24 x $0.50= $12=        

 ($ earned per hrs  x hrs worked)+  ($ per hamburger sold x times amount)

Hence $43.50 + $12= $55.50.

Part B:        $14.50 x 6.5 = $94.25                           $120 - $94.25= $25.75

 ($ earned per hrs  x hrs worked x x hrs worked)   ($ earned - $ earn from shif

 $25.75/0.50=51.5 (51.5 rounded to nearest burgers is 52 burgers)

Hence answer is 52 burgers.

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A spinner has 10 equally sized sections, 6 of which are gray and 4 of which are blue. The spinner is spun twice. What is the probability that the first spin lands on blue and the second spin lands on gray?
Write your answer as a fraction in the simplest form.
If you can, please also explain how you got it!
Thanks!!

Answers

Answer:

Multiply the probabilities of the outcomes. 4/10*6/10 = 24/100 = 12/50 = 6/25.

 

The answer is 6/25.

Step-by-step explanation:

How I got my answer all you have to do is multiply the probabilities and you get 6/25.

Which of the following sentences is true?
Select one:
a. 82.349 is less than 82.347.
b. 5.324 is less than 5.314.
c. 20.544 is greater than 20.844.
d. 19.532 is greater than 19.522.

don't use files

Answers

B is greater than 5.9188:

Mr. Buchanan can clean his apartment in 12 hours. (He's not very fast.) With Mrs. Buchanan's help, they can clean the apartment in 4 hours. How long would it take Mrs. Buchanan to clean the apartment alone? Time=_____ Hours

Answers

Answer:

2 hours

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Divide: 2 ÷ 1
2

2
16
8
4

Answers

Answer:

Are you asking to divide 2 divided by 1 ?

If so its 2

Plz like & brainly, I'm close to next lvl

It would help :D

help meeeeeeeeeeeeeeee. this is due tomorrow

Answers

Answer:

common difference increases by 2 times

d = (2×12) = 24

[tex] {a}^{4} + {b}^{4} + {c}^{4} = (22 + (12 \times 2)) \\ = 46[/tex]

how do you factor this trinomial? 2x² + 9x - 18

Answers

Factor by grouping.

(2x + 3)(x − 6)

Answer:

(2x-3) (x+6)

Hope this helps :)

I need to know they answers below please hurry

Answers

Answer:

A)  2

B)  0

C)  1

Step-by-step explanation:

What are the x-intercepts of the parabola?

Answers

Answer:

(5,0) & (4,0)

Step-by-step explanation:

The x-intercepts are where the graph touches the x-axis. The parabola clearly touches in the x-axis at points 4 and 5.

Answer:

(5,0) and (4,0)

Step-by-step explanation:

I need help ASAP
A scatter plot is shown
What type of association does the graph show between x and y?

A Linear positive association

B Nonlinear positive association

C Linear negative association

D Nonlinear negative association

Answers

The answer is c because The higher the number the lower the dock goes which means it’s negative and it makes a line

The hours on a clock face are 30° apart. What is the angle a line from two o’clock to six o’clock makes with a horizontal line?

Answers

What now I’m having trouble reading that

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2
marbles one after the other without replacement, then what is the probability that both
are red in color? Are the two events independent or dependent?

Answers

30/210 simplified to 1/7 i think

The volume of a cone-shaped funnel is 603 cubic centimeters. The radius of the funnel is 8 centimeters. Find the height of the funnel. Round your answer to the nearest whole number.

Answers

Answer: 9

Step-by-step explanation:

Volume of cone formula is: pi r^2 h/3

So pi x 8^2 h/3 = 603

H/3 = 2.9991

h = 9 (rounded)

The question is in the attachment.
Please help out

Answers

Answer:

43

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< MQP = 1/2 ( 86)

< MQP = 43

Answer:

43°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the arc it subtends.

m<Q = (1/2)m(arc)MP

m<Q = 1/2 * 86°

m<Q = 43°

The ratio of health club members who use trainers to those who do not
is 2:5. There are 342 members who use trainers. How many members
does the club have?

Answers

Answer:

Step-by-step explanation:

The anwser is 479 - 2:5 as a decimal is .4 , 342 x .4 is 126.8

342+126.8 = 178.8

round it and get 479

By using given ratio, Members does the club have are 1197.

What is ratio?

"A ratio can be defined as the relationship or comparison between two numbers of the same unit to check how bigger is one number than the other one."

We have,

Ratio of health club members who use trainers and who do not  is 2:5.

Members who use trainers = 342

Members who does not use trainers

= [tex]\frac{342}{2}[/tex]×[tex]5[/tex]

= 171 × 5

= 855

Total members

= 855 + 342

= 1197

Hence, Members does the club have are 1197.

Learn more about ratio here

https://brainly.com/question/23499990

#SPJ2

Help me with this please

Answers

Step-by-step explanation:

The given expression is

Notice that this expression is the product of two powers, to rewrite it, we need to use the following property

Using this property, we have

The given expression is. Notice that this expression is the product of two powers, ...

Answer:

44/-4

Step-by-step explanation:

a) (x, y) = (5,6)
c) ( ) = (35)
e) (x + 1, 8) = (3, 2y)
g) (x - 2, y + 1) = (4, 2y)
i) , 3) = (3, + 1)
k) (2x + y, 3) = (5, 3y)
ng ordered pairs.
b) (x + 2, y - 1) = (2, 3)
d) (3x, 8) = (12, y - 1)
f) (2x + 1, y - 2) = (1, 2)
1 5
2 3
j) (x + y, x - 3) = (8, 4)
1) (2x + 3y, 2x) = (20, x + 4)
b) ( x + 1) =(2,
)
30 PTS if you can answer these all and a brain list matk​

Answers

Answer:

hope this helps you look it once.

What value of y makes the 2 triangles congruent by SSS?

Answers

Answer:

8

Step-by-step explanation:

2(8)+20=36

what is the plot 40,40 as a fraction

Answers

Answer:

1/2 or like 1/40

Step-by-step explanation:

I NEED HELP PLEASE!!!

Answers

It’s 8 because it’s is an isosceles triangle meaning MN and NP are the length. Also, they said it was bisected so the vertex angle separates into two equal parts which is the same case for MP

(X+1,8)=(3,2y) please can u send the pic to me I really need it​

Answers

Answer:

x = 2, y = 4

Step-by-step explanation:

Given

(x + 1, 8 ) = (3, 2y )

Equate the values in the x and y positions , that is

x + 1 = 3 ( subtract 1 from both sides )

x = 2

and

2y = 8 ( divide both sides by 2 )

y = 4

Answer:

(X+1,8)=(3,2y)

equating corresponding value we get

x+1=3

x=3-1=2

again

8=2y

y=8/2=4

x=2

y=4

Can someone help me on this pls?

Answers

Answer:

[tex]B)Center:(7,2)~~radius=\sqrt{10}[/tex]

-------------

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

[tex]h=7~,k=2[/tex]

[tex]Center~(h,k)=(7,2)[/tex]

[tex]r^2=10[/tex]

[tex]r=\sqrt{10}[/tex]

[tex]radius=\sqrt{10}[/tex]

---------------------

hope it helps...

have a great day!!

A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.
Find their present ages.

Answers

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

GIVEN :-

A man is 5 times as old as his son. (In Present)4 years ago , the man was 13 times as old as his son

TO FIND :-

The present ages of the man & his son.

SOLUTION :-

Let the present age of son be 'x'.

⇒ Present age of man = 5x

4 years ago ,

Age of son = (Present age of son) - 4 = x - 4

Age of man = (Present age of man) - 4 = 5x - 4

The man was thirteen times as old as his son. So,

[tex]=> 5x - 4 = 13(x - 4)[/tex]

Now , solve the equation.

Open the brackets in R.H.S.

[tex]=> 5x - 4 = 13x - 52[/tex]

Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.

[tex]=> 13x - 5x = 52 - 4[/tex]

[tex]=> 8x = 48[/tex]

Divide both the sides by 8

[tex]=> \frac{8x}{8} = \frac{48}{8}[/tex]

[tex]=> x = 6[/tex]

CONCLUSION :-

Age of son = 6 years

Age of man = 5×6 = 30 years

1121314 5 -
The top, front, and side views of a rectangular prism are shown.
top view
front view
(1) side view
How many unit cubes are used to build the solid?
unit cubes are used to build the solid.​

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the views are not shown.

So, I will answer this question with the attached views of a rectangular prism.

Required

The number of cubes used

For the attached views of the rectangular prism, we will make use of the following representations

Top view [tex]\to[/tex] Width

Front view [tex]\to[/tex] Height

Side view [tex]\to[/tex] Length

So, we have:

[tex]Width = 2 units[/tex]

[tex]Height = 6 units[/tex]

[tex]Length = 1\ unit[/tex]

The number of cubes is calculated by solving for the volume of the prism.

For a rectangular prism, the volume is:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = 2 * 6 * 1[/tex]

[tex]Volume = 12[/tex]

This implies that 12 cubes were used to build the solid.

In ΔCDE, the measure of ∠E=90°, DE = 39 feet, and CD = 89 feet. Find the measure of ∠C to the nearest degree.

Answers

it’s 64.4 :)
i just did it lolz

Firstly this shape is an triangle and a triangle has 3 sides/ angles and all angles sum up to 180 degrees...

E = 90 degrees

This explains that it is an hypotenuse triangle so...

answer:

= 39x39 = 1521

= 89x89 = 7921

= 1521 + 7921 = 9442

= square root of 9442 = 97.169954204 rounded off to 97.2

97.2 degrees!

what’s the vertex of this graph
(2,2)
(1,3)
(3,1)
(0,2)

Answers

Answer:

(1,3)

Step-by-step explanation:

The vertex of a downward facing parabola is the maximum point

The vertex is x=1, y=3

(1,3)

Answer:

Out of the options given above prior to the topic, I believe that the best choice would be Option B) (1,3) Best explanation is provided by the wonderful user above. Hope we helped! :D

find the unknown size of angle​

Answers

answer: Which angle? It doesn't say which.

Please help me. I’ve been stuck on this question forever.

Answers

Answer: they are 3 miles apart

Step-by-step explanation:

Answer:

9 miles

Step-by-step explanation:


Find the selling price of each item. Show work for full credit.

Original Price of a truck: $47,500
Discount: 45%

Answers

Answer:26,125 is your answer

Step-by-step explanation:

Answer:

$26,125

Step-by-step explanation:

45% of 47,500 is 21,375

47,500 - 21,375 = 26,125

? x 26= 17 7/8.
By: Britney

Answers

17 7/8 divided by 26=0.6875
0.6875 times 26=17.875 or 17 7/8
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