What is the vertex for the following quadratic?
f(x)= 2x^2-12x+16

What Is The Vertex For The Following Quadratic?f(x)= 2x^2-12x+16

Answers

Answer 1

Answer:

(3, -2)

Step-by-step explanation:

To find the vertex, put the equation into vertex form by completing the square

2(x^2 - 6x) + 16  [pulling out the 2]

2(x^2 - 6x + 9) - 18 + 16 [completing the square, you subtracted 2*9 = 18 so you also add 18]

2(x - 3)^2 - 2 [simplify the equation]

vertex is (3, -2)


Related Questions

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

i need help pls..........

Answers

Answer:

a 14.3

Step-by-step explanation:

23 divided by 4 is 14.3

what is the exact value of cos5pie/12

Answers

Answer:

Exact Form: −e12

Decimal Form: −0.22652348…

Step-by-step explanation:

Solve for x
I need help fast

Answers

Answer:

4x-1=1/2(10x-20)

8x-2=10x-20

-2x=-18

X=9

hshsvsjsn svshsismsnsbs​

Answers

Answer:

C. 5.44

Step-by-step explanation:

A certain pipe can be used to fill a pool with water in 2 hours. A second pipe can be used to fill the pool in 4 hours. How long does it take to fill the pool when both pipes are used at the same time?​

Answers

Answer:

1 1/3 hours

Step-by-step explanation:

Pipe 1 alone:

fills the pool in 2 hours

in 1 hour, it fills 1/2 of the pool

Pipe 2 alone:

fills the pool in 4 hours

in 1 hour, it fills 1/4 of the pool

Pipe 1 and Pipe 2 working together:

fill the pool in x hours

in 1 hour, they fill 1/x of the pool

Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.

Working together, in 1 hour the two pipes fill 1/x of the pool.

Therefore,

1/2 + 1/4 = 1/x

2/4 + 1/4 = 1/x

3/4 = 1/x

x = 4/3

x = 1 1/3

Answer: 1 1/3 hours

Write the equation of the line which passes through (1, 2) and with slope of −1/3
in standard form.

Answers

Answer:

         x + 3y = 7            

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                                y - y₁ = m(x - x₁)

m = -¹/₃

(1, 2)    ⇒   x₁ = 1,  y₁ = 2

Therefore,  the equation of the line which passes through (1, 2) and with slope of −1/3 in point-slope form:

y - 2 = -¹/₃(x - 1)

y - 2 = -¹/₃x + ¹/₃                     {add ¹/₃x to both sides}

¹/₃x + y - 2 = ¹/₃                     {add 2 to both sides}

¹/₃x + y = 2¹/₃                       {multiply both sides by 3}

x + 3y = 7            

If an isosceles triangle has one side that is
twice the length of its shortest side, and
its perimeter is 65 inches, what are the
measurements of its three sides?

Answers

Answer:

.

Step-by-step explanation:

4. Find the measure of arc WXY.

Answers

Answer:

200

Step-by-step explanation:this problem is actually very simple. a circle and a max measure of 360 so all you do is subtract 160 from 360 and there you go.     :)

Given the 3 points A(0;1) , B(5;0) , and C(4;2)

a) Find the coordinates of M the midpoint of [AB]

b) Find the coordinates of G the center of gravity of the triangle ABC .​

Answers

Answer:

The answer is below

Step-by-step explanation:

a) If O(x, y) is the midpoint between two points X(x₁, y₁) and Y(x₂, y₂)m then the coordinates of O is:

x = (x₁ + x₂)/2;     y = (y₁ + y₂) / 2

Since M(x, y) is the midpoint of AB, then the coordinates of M is:

x = (0 + 5) / 2 = 2.5;     y = (1 + 0)/2 = 0.5

M = (2.5, 0.5)

b) The center of gravity is gotten by finding the average of the x coordinates and the y coordinates of the vertices of the triangle.

Let O(x, y) be the center of gravity of triangle ABC, hence;

x = (0 + 5 + 4) / 3 = 3

y = (1 + 0 + 2) / 3 = 1

O = (3, 1)

Consider the sequence 4,-12,36,-108... What is the 9th term in the sequence

Answers

Answer:

The 9th term in the sequence is 29

Step-by-step explanation:

can i have brainliest please

Answer:

he 9th term in the sequence is 29Step-by-step explanation:

Yazeron or whatever your name is dont answer this but can someone help me
ASAP I WANT TO GO TO BED

Answers

Answer: No

Step-by-step explanation: The length isn't 90 degree's so it can't be a right triangle

can someone please help me with this? (i will mark brainliest) (LMNP is rotated 180 degrees clockwise around the origin. what are the coordinates of L?)

Answers

Answer:

L's coordinates would go from being (x,y) to (-x, -y)

Step-by-step explanation:

So like, if L's coordinates were (5, 7) after rotation it would be (-5, -7)

If you were working backward and with L' being rotated you would do (-5, -7) change the sign and do (5,7) for L

Consenquently if you had a negative to begin with- L (-3, -4) L' would be the opposite sign and be (3,4)

Find the surface area of a basketball with a diameter of 10 in.

25π in²

10π in²

100π in²

400π in²

Answers

Answer:

100π in²

Step-by-step explanation:

i just took the test :)

The surface area of the ball is 100π square inches. The correct option is C.

How to calculate the surface area of a sphere?

The formula for the surface area of a sphere is:

Surface Area = 4πr²

Where r is the radius of the sphere.

Since the basketball has a diameter of 10 in, the radius is half of that, which is 5 in.

Substituting the radius into the formula, we get:

Surface Area = 4π(5²)

Surface Area = 4π(25)

Surface Area = 100π

Therefore, the surface area of the basketball is 100π in².

So the surface area is 100π in².

To know more about surface area of the sphere follow

https://brainly.com/question/14692728

#SPJ3

what is polynomail area​

Answers

Answer:

2x²-8 if it doesnt give you x=   if it gives you an x= then comment it and ill work it out.

Step-by-step explanation:

it was pretty simple


Help me out please?

Answers

Answer:

perpendicualr

Step-by-step explanation:

Answer:

Perpendicular

Explanation:

In 1968, it cost $54,000 for a 30 second commercial during the super bowl. In 1973, the cost for a 30 second commercial was $88,000. What is the percent increase, round to the nearest whole number, in the cost of a 30 second commercial from 1968 to 1973?

Answers

Answer:

you idiot are you joking

Will has a spinner with six equal sections numbered one through six. If Will spins the spinner 150 times, how many times can he expect to spin a number less than 5

Answers

Answer= x=100

4/6 = x/150

So you will want to use the cross strategy

6x = 150(4)
6x = 600
6x ÷ 6 = 600 ÷6
x =100



please help me lol. The figure on the left is reflected using line l to form the image on the right. Use the information in the original figure to label the corresponding parts in
the image.
Ite!
Ite
2.2
Ite
Ite
O
143
3.2
0
Ite
1084
Ite
639
O
o
Ite
Ite

Answers

Answer and Step-by-step explanation:

The sides and angles should be the same as the un-reflected version, except everything is flipped. Please see attached picture for reference.

#teamtrees #PAW (Plant And Water)

The sides and angles should be the same as the un-reflected version, except everything is flipped, thus the corresponding parts are attached below.

Explanation of how reflection across axis works?

When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.

If study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.

Thus, if we are reflecting  a point (x,y) along x axis, then its x abscissa will stay same but y ordinates will negate. Thus (x,y) turns to (x, -y)

Similarly, if we are reflecting a point (x,y) along y axis, the resultant image of the point will be (-x,y)

The sides and angles should be the same as the un-reflected version, except everything is flipped, thus the corresponding parts are attached below.

Learn more about reflection here;

https://brainly.com/question/28186407

#SPJ2

I'd appreciate any help I can get! :) A gold statue has a diameter of 60 inches and a height of 80 inches. It has a total volume of 320 inches cubed. The replica is proportional to the statue. The replica's height is 100 inches. What is the replica's volume?

Answers

Answer:

Volume of replica = 625 cubic inches

Step-by-step explanation:

Height of the gold statue = 80 inches

Volume of the gold statue = 320 cubic inches

Height of the replica = 100 inches

Dimensional scale factor = [tex](\frac{\text{Dimension of the replica}}{\text{Dimension of the original statue}})[/tex]

                                      = [tex]\frac{100}{80}[/tex]

                                      = 1.25

Volume scale factor = [tex]\frac{\text{Volume of replica}}{\text{Volume of original}}[/tex]

Since, volume scale factor = (Dimensional scale factor)³

[tex]\frac{\text{Volume of replica}}{\text{Volume of original}}=(1.25)^3[/tex]

Volume of replica = (1.25)³ × Volume of original statue

                              = (1.25)³ × 320

                              = 625 cubic inches

But I really need help to pass

Answers

Answer:

the cane

Step-by-step explanation:

The candy cane thing. If you can draw a line through it and see a mirror image, it’s symmetrical. The candy cane has no reflection/symmetry line.

Urgent: Find value of X

Answers

Answer:

x=44 degrees

Step-by-step explanation:

A line = 180 degrees

Given degrees: 136

180-136= 44

yes x=44 because it is a straight line that equals 180

Tentukan nilai limit x->3 x2-9/x-3

Answers

Answer:

6

Step-by-step explanation:

Factor the numerator, difference of squares

[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )

= x + 3

limit as x → 3 = 3 + 3 = 6

What is the best first step to solve the following quadratic equation?

16x2 + 38 = -40x

A
Add 40x to both sides.

B
Factor the right side.

C
Take the square root of both sides.

D
Multiply 16 by 38 and list the factors.

Answers

Answer:

a

Step-by-step explanation:

A which is add 40x to both sides wich is A

Each side of a square classroom is 8 yards long. The school wants to replace the carpet in the classroom with new carpet that costs $72.00 per square yard. How much will the new carpet cost?

Answers

$288.00

Step-by-step explanation:

Each side of the classroom =8 yards

since it's a square, that is 8×4=32yards

Per yard=$72.00

$72.00×4

=$288

A 2025633
1)(a)(a)
3(3)(5)(5)(a(a)
Which expressions listed on the left are equivalen
36a8? Check all that apply. (Assume that a 7 0.
22502
B
466
25
D A
13
C.
25
B.
DES
В С
E
3 D
Е Е

Answers

Answer:

if I'm not mistaken I think your answer will be B

The equivalent expressions for [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] are A, B and E.

What is Square Root?

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

Given expression is [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

There are five expressions in the left.

A. [tex]\sqrt{\frac{2(2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)}{3(3)(5)(5)(a)(a)} }[/tex]

Here we have to multiply the terms in the numerator as well as in the denominator.

2(2)(3)(3) = 36 and 3(3)(5)(5) = 225

So this expression is equivalent to the given  [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

B. [tex]\sqrt{\frac{4a^6}{25} }[/tex]

We know that, greatest common factor of 36 and 225 is 9.

36/9 = 4 and 225 / 9 = 25

Also a⁸ / a² = a⁸⁻² = a⁶

So this is also an equivalent expression.

C. [tex]\frac{6}{25} \sqrt{ \frac{a^8}{a^2} }[/tex]

This is not equivalent since √225 = 15, not 25.

D. [tex]\frac{6}{15} a^4[/tex]

This is also not equivalent since  [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\sqrt{a^6}[/tex] = a³, not a⁴.

E. [tex]\frac{2}{5} a^3[/tex]

This is equivalent expression since √36 = 6 and √225 = 15.

[tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] = [tex]\frac{6}{15}[/tex] [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\frac{2}{5}[/tex] [tex]\sqrt{a^6}[/tex] = [tex]\frac{2}{5} a^3[/tex]

Hence the equivalent expressions are A, B and E.

Learn more about Expressions here :

https://brainly.com/question/28170201

#SPJ7

Your question is confusing. The image of the question is attached below.

Andrew has $90 in a savings account. The interest rate is 10% per year and is not compounded. How much interest
will he earn in 2 years?

Answers

Answer:

He will earn 18 dollars in interest.

Step-by-step explanation:

I got this answer form multiplying 10% of 90 by 2, which 10% of 90 is 9, and 9 times 2 is 18, so that's how I got my answer. Please comment on this answer to tell me if it's wrong. I hope it is right and that this really helps you. Have a great day!

Help i don't know what to do please help

Answers

B and C
Then do D
Hoped this helped

Answer:

I would need to hear it.

Step-by-step explanation:

1/2x - 7 = 1/3 (x- 12)

Answers

Answer:

x = 18

Step-by-step explanation:

1/2x - 7 = 1/3 (x- 12)

Multiply both sides by 3

3 * 1/2x - 3 * 7 = 3 * 1/3 (x - 12)

3/2x - 21 = x - 12

Collect like terms

3/2x - x = 21 - 12

1/2x = 9

Multiply both sides by 2

x = 2 * 9

x = 18

Answer:

x = 18

hope this helps! :)

Find the triangles area drawing not to scale.

Answers

Answer:

35 lol

Step-by-step explanation:

a = b*h/2

a = 10*7/2

a = 70/2

a = 35 lol

Other Questions
TTriangle H L I is shown. Line segment J K is drawn near point L to create triangle J L K. If HLI ~ JLK by the SSS similarity theorem, then StartFraction H L Over J L EndFraction = StartFraction I L Over K L EndFraction is also equal to which ratio? StartFraction H I Over J K EndFraction StartFraction H J Over J L EndFraction StartFraction I K Over K L EndFraction StartFraction J K Over H I EndFraction 3^16 as a power of 1/9 how do I get the answer like you don't even have to tell me the answer just tell me how to get the answer 6 Big Or Small7 Small Or Neutralwhichever number is greater This word means: to appear shiny or wet. Tree brancheslike glass. PLEASE PLEASE PLEASEEEEE HELP!!!!!!!!! Question 2 (1 point)5B. A rectangle has perimeter 26 cm, and the length and width are both whole numbers. What is the greatest possible area this rectangle mayhave in square cm? 14. Given that log 2 = 0.3010 and log 3 = 0.4771 , how can we find log 6 ?A. log6 = log2 x log3 = 0.3010 x 0.4771B. log6 = log2 + log3 = 0.3010 + 0.4771C. log6 = log2 log3 = 0.3010 0.4771D. log6 = log2 = log3 = 0.3010 = 0.4771 Partially cooking food and waiting to finish the cooking later is a safe wayto destroy harmful bacteriaTrueFalse luis has 8 chapters to of a book to read. if she reads 2/3 of a chapter each day, how many days will it take her to finish the book? 6.00+1.50(m)=26.25 find what m is examples of machine that seem simple but they arenot The perimeter of the rectangular top of a bookcase is 54 in. Find the length of the width is 7 in. For each value of u , determine whether it is a solution to 23=4u-1 . Help pls it open ended soooo??????? please help i will mark branliest solve both of these? ASAP 3.3 Discussion: Drug CriminalsGraded DiscussionDiscussion TopicNo Response(s)The discussion is where you discuss a specific health topic with the rest of the class.Read through the topic thoroughly, then post your thoughts on the appropriate discussionboard. Write at least one well-developed paragraph. As this is a discussion, don't forget torespond to at least two other students. Please be courteous and use proper netiquette.Discussion 3.3 Drug CriminalsBe the first toDo you think criminals convicted of drug crimes should serve mandatory sentences? Whyor why not?Exit Graded Discussion Could someone please check my grammar homework? The words in bold are my answers Can someone help me with number 2 plzzzz!!!!