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MariettaO [177]
3 years ago
6

Solve the problem. 10^-6

Mathematics
2 answers:
Agata [3.3K]3 years ago
6 0
0.000001/ 0.01 I think
Andre45 [30]3 years ago
3 0
The answer is one million! Hope this helps!
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A function f has the following verbal description: multiply by 3, add 5, and
STALIN [3.7K]

Regarding the functions in this problem, it is found that:

a) The verbal description of the inverse is: Take the third root, subtract by 5 and divide by 3.

b) The formulas are:

  • f(x) = (3x + 5)³.
  • f^{-1}(x) = \frac{\sqrt[3]{x} - 5}{3}

c) The compositions result in x, hence they are inverses.

<h3>How to obtain the inverse function?</h3>

The original function is described as follows:

  • Multiply by 3: 3x.
  • Add 5: 3x + 5.
  • Take the third power: (3x + 5)³.

Hence the function is:

y = (3x + 5)³.

To obtain the inverse functions, we exchange x and y and then isolate y, hence:

x = (3y + 5)³

\sqrt[3]{x} = \sqrt[3]{(3y+5)^3}

3y + 5 = \sqrt[3]{x}

3y = \sqrt[3]{x} - 5

y = \frac{\sqrt[3]{x} - 5}{3}

f^{-1}(x) = \frac{\sqrt[3]{x} - 5}{3}

The verbal description of the inverse is:

  • Take the third root. sqrt[3](x).
  • Subtract by 5: sqrt[3](x) - 5.
  • Divide by 3.

The compositions are given as follows:

  • f(f^{-1}(x)) = f\left(\frac{\sqrt[3]{x} - 5}{3}\right) = \left(3\left(\frac{\sqrt[3]{x} - 5}{3}\right + 5)\right)^3 = (\sqrt[3]{x})^3 = x
  • f^{-1}(f(x)) = f^{-1}((3x + 5)^3) = \frac{\sqrt[3]{(3x + 5)^3} - 5}{3} = \frac{3x + 5 - 5}{3} = x

More can be learned about inverse functions at brainly.com/question/11735394

#SPJ1

4 0
2 years ago
Which process was used to obtain the equation shown in Step 2?
balu736 [363]
To equal the step 2, we would have to determine that 20 was our new denominator and multiply the first fraction by 5, the second by 4 and the 2 by 20.

multiplied by sides of the equation by 20
7 0
3 years ago
Can any one please help me I need help please help me
Leokris [45]

Answer:

D=10t+5

Step-by-step explanation:

D(0)=10*0+5=5

D(1)=10*1+5=15

D(2)=10*2+5=25

D(3)=10*3+5=35

D(4)=10*4+5=45

6 0
3 years ago
Liz earns a salary of $2,000 per month, plus a commission of 5% of her sales. She wants to earn at least $2,200 this month. Ente
solong [7]

Answer:

2000 + .05x >= 2200

Step-by-step explanation:

2000 is how much she already has

.05 is 5% of sales

x is the unknown amount of sales

2200 is how much she needs

The rate is just 5% increase.

5 0
3 years ago
Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200
Mandarinka [93]

Answer:

<h2>x = 3.1</h2>

Step-by-step explanation:

<h3>{10}^{x}  = 1200</h3>

<u>To solve first take logarithm to both sides</u>

That's

<h3>log_{10}(10) ^{x}  =  log_{10}(1200)</h3><h3 /><h3>log_{10}(10)^{x}  = x log_{10}(10)</h3>

But

<h3>log_{10}(10)  = 1</h3>

So we have

x =  log_{10}(1200)

<u>Write 1200 as a number with the factor 100</u>

That's

1200 = 100 × 12

So we have

<h3>x =  log_{10}(100 \times 12)</h3>

<u>Using the rules of logarithms</u>

That's

<h3>log_{a}(x \times y)  =  log_{a}(x)  +  log_{a}(y)</h3>

Rewrite the expression

That's

<h3>x =  log_{10}(100)  +  log_{10}(12)</h3><h3 /><h3>x =  log_{10}(10)^{2}  +  log_{10}(12)</h3><h3>x = 2 log_{10}(10)  +  log_{10}(12)</h3><h3>log_{10}(10)  = 1</h3><h3 /><h3>x = 2 +  log_{10}(12)</h3>

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

8 0
4 years ago
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