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Nookie1986 [14]
4 years ago
8

How do you solve for the quotient of (x^-1) - 1 ÷ x - 1?

Mathematics
1 answer:
Ber [7]4 years ago
3 0

\bf x^{-1}-1\div x-1\implies \implies \cfrac{1}{x}-1\div x-1\implies \cfrac{\frac{1}{x}-1}{~~x-1~~}\implies \cfrac{~~\frac{1-x}{x}~~}{\frac{x-1}{1}} \\\\\\ \cfrac{1-x}{x}\cdot \cfrac{1}{x-1}\implies \cfrac{-(\begin{matrix} x-1 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix})}{x}\cdot \cfrac{1}{\begin{matrix} x-1 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies -\cfrac{1}{x}\implies -x^{-1}

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KATRIN_1 [288]

The function p(t) for the number of visitors over 1-year is an exponential function

  • The increasing interval is: [33,52]
  • The decreasing interval is: [0, 33]
  • There is no critical point

<h3>The increasing and the decreasing interval</h3>

The function is given as:

p(t) = 119 + (t-83)e^0.02t

Start by plotting the graph of the function p(t).

From the graph (see attachment), we have the parameters to be:

  • Increasing: [33,52]
  • Decreasing: [0, 33]
  • Critical point = None

Hence, the function has no critical point

Read mroe about critical points at:

brainly.com/question/7805334

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The chorus has 35 members. Which expression represents the number of ways a group of 6 members can be chosen to do a special per
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Find the constant of proportionality k as a fraction in simplest form. Then enter an equation for the
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Step-by-step explanation:

6 0
3 years ago
In the diagram, mFLI is 106°, mFLG = (2x – 1)°, mGLH = (x + 17)°, and mHLI = (4x – 15)°.
Lorico [155]

Step 1

<u>Find the value of x</u>

we know that

m∠FLI=m∠FLG+m∠GLH+m∠HLI ---------> equation 1

In this problem we have

m∠FLI=106°

m∠FLG=(2x-1)°

m∠GLH=(x+17)°

m∠HLI=(4x-15)°

Substitute the values in the equation 1

106=(2x-1)+(x+17)+(4x-15)

Combine like terms

106=(2x+x+4x)+(-1+17-15)

106=(7x)+(1)

7x=105

x=15°

Step 2

<u>Find the value of each angle</u>

Substitute the value of x in each angle

m∠FLG=(2*15-1)=29°

m∠GLH=(15+17)=32°

m∠HLI=(4*15-15)=45°

therefore

<u>the answer is</u>

The smallest angle in the diagram is 29\ degrees

3 0
3 years ago
Read 2 more answers
Maria has 144 marbles. Emanuel has 4 times the number of marbles Maria has. How many marbles does Emanuel have? ​
Katarina [22]

Answer:

144×4=576

Step-by-step explanation:

no of marbles maria has=144

no of mrbles emanuel has=4 times of maria

Now,

no of marbles of emanuel= 4×144

= 576

5 0
3 years ago
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