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3 years ago

What is the vertex of the quadratic function f(x)=(x-8)(x-2) ?

2 answers:

8 0

Multiply out f(x)=(x-8)(x-2): f(x) = x^2 - 8x - 2x + 16, or f(x) = 1x^2 - 10x + 16.
Thus, a=1, b= -10 and c=16.

One of several ways to find the vertex involves "completing the square."

x^2 - 10x + 16 = x^2 - 10x + 25 - 25 + 16, or y = (x-5)^2 -9, or y+9=(x-5)^2.

Compare this result to y-k = a(x-h)^2. We see that h=5 and k=-9.

Thus, the vertex is at (h,k) = (5, -9).

Molodets [167]3 years ago

5 0

Answer:

On Edge nu ity its the 3rd one!

Step-by-step explanation:

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Divide a^24-a^18+a^12 by a^6 what is the quotation?

lana66690 [7]

I think you mean "what is the QUOTIENT?"

$\dfrac{a^{24} - a^{18} + a^{12}}{a^6} =$

$= \dfrac{a^{24}}{a^6} - \dfrac{a^{18}}{a^6} + \dfrac{a^{12}}{a^6}$

$= a^{24 - 6} - a^{18 - 6} + a^{12 - 6}$

$= a^{18} - a^{12} + a^{6}$

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4 years ago

Which expression is equal to t + (u + v)? (10 point)

Inga [223]

Answer:4) t+uv

Step-by-step explanation:

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3 years ago

Read 2 more answers

Bob brought 3 autographed baseballs for show and tell. They are 1/6 of his whole collection. How many autographed baseballs are

natulia [17]

Bob brought 3 autographed baseball for show and tell.Now, that 3 autographed is said to be 1/6 of his whole collection.Let's find out how many autographed did Bob have in total.=> 3 autographed = 1/6 of his collections.To be able to have a value of 1 whole collections we need 6 1/6s=> 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 6/6 or 1Thus, the value of his current autographed in hand will be multiplied with 6=> 3 * 6 = 18Therefore, he have a total of 18 autographed.

6 0

3 years ago

Suppose X is normally distributed with mean 20 and standard deviation 4, find the value x0 such that P(X ≥ x0) = 0.975.

abruzzese [7]

Answer:

12.16

Step-by-step explanation:

From your question, we have the following information

Mean = u = 20

Standard deviation sd = 4

P(X>Xo) = 0.975

1-0.975 = 0.025

P(z<Xo-20/4) = 0.025

Xo-20/4 = -1.96

We cross multiply

Xo - 20 = -1.96 x 4

Xo - 20 = -7.84

Xo = -7.84+30

Xo = 12.16

12.16 is the value of Xo and therefore the answer to this question.

Thank you!

7 0

3 years ago

What expression must the center cell of the table below contain so that the sums of each row, each column, and each diagonal are

sergey [27]

Oh, I adore magic squares!

We need all rows to be equivalent, so try adding up the bottom (complete) row to get 7x-4x+3x=10x-4x=6x.

To solve the middle number, we have -2x+X+6x=6x, so X=2x.
To solve the top number, we have X+8x-3x=6x, so X=6x-8x+3x=x

Now check first column,
x-2x+7x=6x ok
Second column
8x+2x-4x=6x ok
Top-right to bottom-right diagonal: x+2x+3x=6x, ok
Bottom-left to top right diagonal: 7x+2x-3x=6x

So everything is ok!

5 0

3 years ago