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Igoryamba
3 years ago
13

Which of the following is the solution to the inequality below -5x - 10 < 20

Mathematics
1 answer:
postnew [5]3 years ago
4 0

Answer:

x > -6

Step-by-step explanation:

-5(-4) - 10 < 20

20 - 10 < 20

10 < 20

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Digits move one place left in a number when multiplied by 10. This means that if you multiply by 100 (which is 10 x 10), digits
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True.

Step-by-step explanation:

How ever many 0's is how many times you move to the left.

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3 years ago
WILL MARK BRAINLIEST!! if the measure of angle CBD is 9(8x+11)°, then what is the value of x?
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Step-by-step explanation:

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3 years ago
The sum of three consecutive odd numbers is one hundred eleven. what is the smallest of the three numbers?
Juliette [100K]

Answer:

35

Step-by-step explanation:

Let the three numbers be x,x+2,x+4

x+x+2+x+4=111

3x+6=111

3x=111-6

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x=105/3

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5 0
2 years ago
Please just (c)fog-¹​
omeli [17]

<em>f(x)</em> = 1/(1 - <em>x</em>)

<em>g(x)</em> = (<em>x</em> - 1)/<em>x</em>

The inverse functions <em>f</em> ⁻¹<em>(x)</em> and <em>g </em>⁻¹<em>(x)</em>, if they exist, are such that

<em>f( f</em> ⁻¹<em>(x) )</em> = <em>x</em>

<em>g( g</em> ⁻¹<em>(x) )</em> = <em>x</em>

So we have

<em>f( f</em> ⁻¹<em>(x) )</em> = 1/(1 - <em>f</em> ⁻¹<em>(x) </em>) = <em>x</em>

Solve for <em>f</em> ⁻¹<em>(x)</em> :

1 = (1 - <em>f</em> ⁻¹<em>(x)</em> ) <em>x</em>

1 - <em>f</em> ⁻¹<em>(x)</em> = 1/<em>x</em>

<em>f</em> ⁻¹<em>(x)</em> = 1 - 1/<em>x</em>

<em>f</em> ⁻¹<em>(x)</em> = (<em>x</em> - 1)/<em>x</em>

and so <em>f</em> ⁻¹<em>(x)</em> = <em>g(x)</em>.

Similarly, you can solve for <em>g</em> ⁻¹<em>(x)</em> <em>:</em>

<em>g(</em> <em>g</em> ⁻¹<em>(x) )</em> = (<em>g</em> ⁻¹<em>(x)</em> - 1) / <em>g</em> ⁻¹<em>(x)</em> = <em>x</em>

1 - 1/<em>g</em> ⁻¹<em>(x)</em> = <em>x</em>

1/<em>g</em> ⁻¹<em>(x)</em> = 1 - <em>x</em>

<em>g</em> ⁻¹<em>(x)</em> = 1/(1 - <em>x</em>)

So we know <em>f(x)</em> and <em>g(x)</em> are inverses of one another,

<em>f</em> ⁻¹<em>(x)</em> = <em>g(x)</em>

<em>g</em> ⁻¹<em>(x)</em> = <em>f(x)</em>

Then

(a) (<em>f</em> o <em>g</em>)(<em>x</em>) = <em>x</em>

(b) (<em>g</em> o <em>f</em> ⁻¹)(<em>x</em>) = <em>g(g(x))</em> = (<em>g(x)</em> - 1)/<em>g(x)</em> = 1 - 1/<em>g(x)</em> = 1 - <em>x</em>/(<em>x</em> - 1) = 1/(1 - <em>x</em>)

(c) (<em>f</em> o<em> g</em> ⁻¹)(<em>x</em>) = <em>f(f(x))</em> = 1/(1 - <em>f(x) </em>) = 1/(1 - 1/(1 - <em>x</em>)) = 1/(<em>x</em>/(<em>x</em> - 1)) = (<em>x</em> - 1)/<em>x</em>

8 0
3 years ago
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The independent variable would be hours spent working.
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