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ollegr [7]
3 years ago
12

What is the Quotient Rule for exponents?

Mathematics
1 answer:
Drupady [299]3 years ago
7 0
So I think the rule is that you divide two exponents with the same base, you keep the base and subtract the powers.
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For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?
kvv77 [185]

Answer: Option C

f(x) = x^2;\ k (x) = x ^ 2 -7

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

k (x) = f (x) + b

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If b> 0 then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

f (x) = x ^ 2

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7.

Then the function k(x) that will have its vertex 7 units below f(x) is

k (x) = x ^ 2 -7

3 0
3 years ago
As an estimation we are told 5 miles is 8 km.<br> Convert 57.5 miles to km.
tester [92]

The answer would be about 93 km in length.

5 0
3 years ago
A flower shop makes 5 bouquets with 18 flowers in each bouquet. They make 7 bouquets with 12 flowers in each bouquet.
Anettt [7]

Answer:

174

Step-by-step explanation:

thanks for the help guys

7 0
2 years ago
A book weighs 6 pounds.How many ounces is the book?​
BigorU [14]

The book weighs 96 ounces.

One pound is 16 ounces, and 16 x 6 is 96.

6 0
3 years ago
Read 2 more answers
The average income, I, in dollars, of a lawyer with an age of x years is modeled with the following function:
Alinara [238K]
The answer is 37 years old.

I = -425x² + 45500x -650000
I = 450000

-425x² + 45500x -650000 = 450000
-425x² + 45500x - 650000 - 450000 = 0
-425x² + 45500x - 1100000 = 0

Divide all factors by 25:
- 17x² + 1820x - 44000 = 0

This is quadratic equation (ax² + bx + c = 0)
x_{1,2} = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} = \frac{-1820+/- \sqrt{ 1820^{2}-4*(-17)*(-44000) } }{2*(-17)} = \\  \\ = \frac{-1820+/- \sqrt{3312400-2992000 } }{-34} = \frac{-1820+/- \sqrt{320400} }{-34} =\frac{-1820+/- 566}{-34}  \\  \\ &#10;x_1= \frac{-1820+ 566}{-34}= -37 \\  \\ &#10;x_2 = \frac{-1820- 566}{-34}=70

Since, the youngest age is needed, the correct answer is x = 37
3 0
3 years ago
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