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wariber [46]
2 years ago
14

Which one is it? Plz help

Mathematics
1 answer:
Bezzdna [24]2 years ago
6 0

Multiplication and division with the powers of ten

So, when multiply powers of ten, all you have to do add up the powers.

The reverse goes when you are dividing. You would subtract the powers.

9 x 10^7                    =>   3 x 10^3

The words " how many times as large as " indicates that we are going to divide the two, making it look like this:

\frac{(9)(10^{7}) }{(3)(10^{3}) }

Divide the 9 by 3 you get 3

Then subtract 10^3 from 10^7

Therefore, the answer is 3 x 10^4, or A

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Ten increased by the quotient of a number and 6 is 5
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Let the required number be x, then 10 + x/6 = 5
x/6 = 5 - 10 = -5
x = 6 x -5 = -30
x = -30
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3 years ago
What is the y value of the vertex 4x^2+8x-8
Oksana_A [137]

Answer:

The y-value of the vertex is -12

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

f(x)=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

In this problem we have

f(x)=4x^{2}+8x-8 -----> this a vertical parabola open upward

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

f(x)+8=4x^{2}+8x

Factor the leading coefficient

f(x)+8=4(x^{2}+2x)

Complete the square. Remember to balance the equation by adding the same constants to each side

f(x)+8+4=4(x^{2}+2x+1)

f(x)+12=4(x^{2}+2x+1)

Rewrite as perfect squares

f(x)+12=4(x+1)^{2}

f(x)=4(x+1)^{2}-12

The vertex is the point (-1,-12)

The y-value of the vertex is -12

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