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N76 [4]
3 years ago
10

Which property was used to simplify the expression? x^5 • x^7 = x^12

Mathematics
1 answer:
lana66690 [7]3 years ago
6 0
The product property of exponents was used.
  x^a · x^b = x^(a+b)
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Which expression represents the composition [g o f o h](x) for the functions below?
Brut [27]

Answer:

A

5(15x-4)^3

Explanation:

I assume you mean g(f(h(x))) so in that case here is how you do it:

So the first one is g(x) which is:

5x^3

Now g(f(x)) you just plug in f(x) for the x in the g equation. It would look like this:

5(5x-4)^3

Now the h(x) you would do the same, plug it in for all the values of x in g(x). So it would look like this:

5(5(3x)-4)^3

Since you simplify, you get 5(15x-4)^3

This final equation is g(f(h(x))) which is what you were looking for, which is A

7 0
3 years ago
Tell whether x and y show direct variation.<br> xy=5
Vlad1618 [11]
Form of direct variation looks like y = kx, where k is any constant number (2, 3/4, 1/3, etc)

So here you have xy = 5.

Divide both sides by x, and you have y = 5/x.

So it is not direct variable, it is inverse variation.
5 0
3 years ago
Read 2 more answers
Put the following numbers in order from smallest to largest, with the smallest value at the top of the list.
Kobotan [32]

Answer:

The right order is:

  1. <u>0.085</u>
  2. <u>1/3</u>
  3. <u>2/5</u>
  4. <u>60%</u>
  5. <u>3/4</u>
  6. <u>78%</u>
  7. <u>1.05</u>

Step-by-step explanation:

To identify the right order of the numbers given in order from the smallest to largest, you first must convert all the numbers to the same mode (fractions, decimals or percentages), in this case, I will transform all the numbers to decimals, for this you must divide the fractions or operate the percentages, and you will obtain:

  • 0.085 = 0.085
  • 1/3 = 0.33333333333
  • 60% = 0.6
  • 2/5 = 0.4
  • 3/4 = 0.75
  • 1.05 = 1.05
  • 78% = 0.78

How you can see, <em>in this form is easier than the original form, now you can identify that 2/5 (0.4) is smaller than 60% (0.6) and 1.05 is bigger than 78% (0.78)</em>.

4 0
3 years ago
F(x)=x/3-2 g(x)=3x^2+2x-6 (f+g)(x)
Romashka [77]

Answer:

Hope it helps bhhhhbbbbbbhb

8 0
3 years ago
What is the solution to 3/2b + 5 &lt; 17? Explain How.
jek_recluse [69]
<h3>3/2b + 5 < 17</h3>

<em>We subtract 5 from both sides of the inequality.</em>

<h3>3/2b + 5 - 5 < 17 - 5</h3><h3>3/2 b < 12</h3>

<em>Multiply both sides by 2/3.</em>

<h3>( 2/3) * (3/2b) < (2/3) * 12</h3><h3>b < 8</h3>

<em>Therefore, the </em><em>correct option</em><em> is </em><em>alternative "A".</em>

<em>We would think that it is </em><em>option B,</em><em> but the only difference is that it changes the</em><em> direction of the sign.</em>

8 0
2 years ago
Read 2 more answers
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