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3 years ago

Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?

Mathematics

2 answers:

fredd [130]3 years ago

7 0

Answer:

y = 2(x-2) 2+ 1

Step-by-step explanation:

Effectus [21]3 years ago

3 0

Answer:

y = 2(x - 2)² + 1

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = 2x² - 8x + 9

Using the method of completing the square

Factor out 2 from the first 2 terms

y = 2(x² - 4x) + 9

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

y = 2(x² + 2(- 2)x + 4 - 4) + 9

= 2(x - 2)² - 8 + 9

= 2(x - 2)² + 1 ← in vertex form

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How do I make 4(x+3)=3(3x-1) into a simpler form without parentheses. Then substitute 3 for x.

tankabanditka [31]

4x+12=9x-3
12+12=27-3
24=24

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3 years ago

Read 2 more answers

Solving systems of equations using substitution p=q+2<br> 4p+3q= -27

GREYUIT [131]

Ok, so you are given the value of P=q+2

The substitution method tells us that we must insert the value we know, into the second equation, 4P+3q= -27

Doing so will give us 4(q+2)+3q= -27

For right now, lets just focus on the first part, 4(q+2)

We can simplify this by distributing(multiplying) the 4 to whats inside the variables.

This will give us 4q+8

now lets add this back to the rest of the equation >>> 4q+8+3q = -27

We can further simplify by adding like terms >>> 7q+8 = -27

subtract the 8 from both sides >>> 7q = -35

now divide both sides by 7 >>> q = -35/7

Therefor q = -5

EDIT*

now that we know q = -5 we can put q into the equation for P !

we know that p=q+2

so lets put q in now >>> p=(-5)+2

and simplify>>> p = -3

I hope this helps:)

6 0

3 years ago

Laura creates a rectangular prism with wooden cubes. Each cube has an edge length of 3/4 inch. she uses a total of 240 cubes. th

kirill115 [55]

Answer:00.24

explanation:

Just add the decimal form and multiply the 240 with the decimal of the 3/4

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Write 9.3 million in scientific notation

svetoff [14.1K]

9.3 × 107 would be the scientific notation

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3 years ago

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Bo and Brica are yoga instructors. Between the both of them, they teach 46 yoga classes each week. If Brica teaches 11 fewer tha

PtichkaEL [24]

Bo teaches 19 classes and Brica teaches 27 classes per week

Step-by-step explanation:

Bo and Brica are yoga instructors

They teach 46 yoga classes each week
Brica teaches 11 fewer than twice as many as Bo

We need to find how many classes each instructor teaches per week

Assume that Bo teaches x classes per week

∵ Bo teaches x classes per week

∵ Brica teaches 11 fewer than twice as many as Bo

∵ Twice means times 2 and 11 fewer is - 11

- Multiply x by 2 and subtract 11 from the product

∴ Brica teaches 2x - 11 classes per week

∵ They teach 46 classes per week

- Add the number of their classes and equate the sum by 46

∴ x + 2x - 11 = 46

- Add the like terms in the left hand side

∴ 3x - 11 = 46

- Add 11 to both sides

∴ 3x = 57

- Divide both sides by 3

∴ x = 19

∵ Bo teaches x classes per week

∴ Bo teaches 19 classes per week

∵ Brica teaches 2x - 11 classes per week

∴ Brica teaches 2(19) - 11 = 27 classes per week

Bo teaches 19 classes and Brica teaches 27 classes per week

Learn more:

You can learn more about the linear equations in brainly.com/question/11306893

#LearnwithBrainly

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