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3 years ago

Factor h(x)=2x^2-16x+32 factored form

Mathematics

2 answers:

Crank3 years ago

8 0

It would be (2x-8)(x-4) glad to help x3<span>
</span>

OlgaM077 [116]3 years ago

5 0

The factors of 2 are 2, 1
The factors of 32 are 2,16 8,4 32,1
We see that (2*-4)-(1*-8)=-16

So the factored form is:
(2x-8)(x-4)

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Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6).

weqwewe [10]

Vertex Form: y = a(x - h)^2 + k, with (h,k) as the vertex.

So firstly, plug the vertex into the vertex form: $y=a(x-1)^2-9$

Next, we first need to solve for a. Plug (0,-6) into the equation to solve for a as such:

$-6=a(0-1)^2-9\\-6=a(-1)^2-9\\-6=a-9\\3=a$

<u>Now we know that our equation is y = 3(x - 1)^2 - 9.</u>

Now to solve for the zeros (x-intercepts). Set y to 0 and add 9 to both sides of the equation: $9=3(x-1)^2$

Next, divide both sides by 3: $3=(x-1)^2$

Next, square root both sides: $\pm\sqrt{3}=x-1$

Next, add 1 to both sides: $1\pm\sqrt{3}=x\\2.73,-0.73=x$

<u>Your x-intercepts are (-0.73,0) and (2.73,0), or B.</u>

6 0

3 years ago

Which equations represent linear functions? Select all that apply.

liraira [26]

Answer: x-3y=3x

8y=6x8

y=6x

Step-by-step explanation:

<h2>Meaning of linear equation</h2><h3>A linear equation is a equation that goes at a constant pace and won't change overtime, so functions like x squared and functions that multiply x and y together doesn't go at a constant pace, there not linear equations, but functions like y=mx, M representing any constant, that is a linear equation, therefore x-3y=3x</h3>

8y=6x8

y=6x

<h3>Are the answers to your Question,</h3>

4 0

2 years ago

Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns

Vanyuwa [196]

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

$x+y=32000$ ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

$0.04x+0.07y=2000$ ...(ii)

From (i) and (ii), we get

$0.04x+0.07(32000-x)=2000$

$0.04x+2240-0.07x=2000$

$-0.03x=2000-2240$

$-0.03x=-240$

Divide both sides by -0.03.

$x=\dfrac{-240}{-0.03}$

$x=8000$

Put x=8000 in (i).

$8000+y=32000$

$y=32000-8000$

$y=24000$

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.

8 0

2 years ago

ANEK [815]

Answer:

Step-by-step explanation:

NEED MORE INFO...

8 0

2 years ago

Please help ASAP!!! THANK YOU SO MUCH

Andrei [34K]

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3 years ago