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Firlakuza [10]
3 years ago
7

A to the 5th power times a to the -3 power

Mathematics
1 answer:
olasank [31]3 years ago
8 0

A to the second power is the answer to this problem

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If f and g are functions, then (fog)(x) is always equal to (gof)(x)<br><br> true or false
valentina_108 [34]

Answer:

False

Step-by-step explanation:

Here is a counter example:

● f(x) = x^2

● g(x) = 3x

● (f○g)(x) = (3x)^2 = 9x^2 (1)

● (g○f)(x) = 3(x^2) = 3x^2 (2)

We can see that (1) and (2) aren't equal to each others.

4 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
7nadin3 [17]

Answer:

Widgets should be sold by $38.88 to maximize the profit.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

In this question:

The profit is given by:

y = -9x^2 + 700x - 6005

Which is a quadratic function with a = -9, b = 700, c = -6005

The maximum profit happens at the x of the vertex. Thus

x_{v} = -\frac{b}{2a} = -\frac{700}{2(-9)} = 38.88

Widgets should be sold by $38.88 to maximize the profit.

7 0
3 years ago
Trevon had $24 to spend on 5 pens after buying them he had $4 how much did each pen cost
alexira [117]
Ok.You have 24$. You used 20$. And you have $4 left. You bought 5 pens. So $20.00/ 5=$4.00. Each pen is four dollars.
8 0
3 years ago
Chloe draws 8 pictures Reggie draws I more picture than Chloe. How many pictures do they draw?
Marat540 [252]
Reggie Would Draw 9 Pictures
And Together They Draw 17
8 0
3 years ago
Read 2 more answers
Which one is the correct answer?
Molodets [167]
The answer selected is the correct answer because all of the other ones are equivalent to each other.
5 0
3 years ago
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