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Jet001 [13]
3 years ago
10

What is the value of m? 1/3m+3−5/6m=−15

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0
Sent a picture of the solution to the problem (s).

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Erify that f has an inverse. then use the function f and the given real number a to find (f −1)'(a). (hint: see example 1. if an
zhannawk [14.2K]

The function

... f(x) = (x+2)/(x-1) = 1 + 3/(x-1)

is symmetrical about the line y=x, hence is its own inverse.


We can evaluate the desired derivative directly.

... f'(x) -3/(x-1)²

so f'(2) is

... f'(2) = -3/(2-1)²


(f^{-1})(2)=-3

8 0
3 years ago
Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like term
katen-ka-za [31]

Answer:

D. 8x=16

Step-by-step explanation:

If y=2x, then

2x+3y=16

2x+3(2x) =16

2x +6x=16

8x=16

5 0
3 years ago
Consider the population consisting of all computers of a certain brand and model, and focus on whether a computer needs service
eimsori [14]

Answer and explanation:

A. What is the probability that more than half of the sample of 100 computers would need warranty service?

What is the probability that more than half of the sample of 100 computers would not need warranty service?

What is the probability that out of sample of 100 more than 20% would require warranty service?

B. If our sample of 100 computers of that brand and model reveals that 30 computers need warranty service, does this give a valid conclusion that all such computers in the population would require about 30% warranty service or less?

7 0
3 years ago
Do you know how do this because I need help?
kobusy [5.1K]

Answer:

B/ x=4

Step-by-step explanation:

Just take 2x to another side to be neg-, the same thing with 4 , then divide it both sides by 4 to get the answer.

8 0
3 years ago
Read 2 more answers
Megan is planting a garden with two beds with her mother and father. Megan can plant 1 garden bed in 8 hours. Her mother can pla
olganol [36]

Answer:

1.5\text{ hours}

Step-by-step explanation:

We know that Megan can plant 1 garden bed in 8 hours. Let M represent Megan's rate. So:

M=\frac{1\text{ b}}{8\text{ hr}}

We know that her mother can plant 2 garden beds in that time (8 hours). Let A represent the mother's rate. So:

A=\frac{2\text{ b}}{8\text{ hr}}=\frac{1\text{ b}}{\text{ 4hr}}

We can reduce this to 1 flower bed every 4 hours.

We also know that Megan's father can plant 1 1/3 or 4/3 garden beds in 8 hours. Let D represent the father's rate. So:

D=\frac{4/3 \text{ hr}}{8 \text{ hr}}=\frac{1\text{ b}}{6\text{ hr}}

We can reduce (4/3)/8 to 1/6.

We know that the three began working together. They worked together for 3 hours. So, after 3 hours, the amount of beds they planted all together is 3 hours times their respective rates. So, we can write the following expression:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})

We know that at this point, Megan's father left, leaving only Megan and her mother. We know that they worked together for another 30 minutes, or 1/2 of an hour. So, after this, they will have planted:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})

Garden beds.

Now, Megan's mother leaves, leaving only Megan. Let's let x represent the number of hours. So, we can write the last part of our expression:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})

We know that in the end, they planted 2 flower beds. So, our entire expression equals 2:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})+\frac{1}{2}(\frac{1}{8}+\frac{1}{4})+x(\frac{1}{8})=2

To find out how long it took Megan, we will solve for x.

Let's do each term individually:

First Term:

We have:

3(\frac{1}{8}+\frac{1}{4}+\frac{1}{6})

Make the fractions with common denominators. Our common denominator here is 24. So:

3(\frac{3}{24}+\frac{6}{24}+\frac{4}{24})

Add:

=3(\frac{13}{24})

Multiply. So, our first term is:

=\frac{39}{24}

Second Term:

We have:

\frac{1}{2}(\frac{1}{8}+\frac{1}{4})

Again, let's turn the fractions into fractions with common denominators so we can add them. The common denominator here is 8. So:

\frac{1}{2}(\frac{1}{8}+\frac{2}{8})

Add:

=\frac{1}{2}(\frac{3}{8})

Multiply:

=\frac{3}{16}

So, our equation is now:

\frac{39}{24}+\frac{3}{16}+\frac{1}{8}x=2

Add on the left. Use the common denominator of 48. So:

\frac{78}{48}+\frac{9}{48}+\frac{1}{8}x=2

Add:

\frac{87}{48}+\frac{1}{8}x=2

Subtract 87/48 from both sides:

\frac{1}{8}x=2-\frac{87}{48}

Let turn into a fraction with a denominator of 48. So:

\frac{1}{8}x=\frac{96}{48}-\frac{87}{48}

Subtract:

\frac{1}{8}x=\frac{9}{48}

Reduce the right using 3:

\frac{1}{8}x=\frac{3}{16}

Multiply both sides by 8:

x=\frac{24}{16}

Reduce using 8. So, the time it will take Megan to finish planting the garden beds by herself is:

x=3/2=1.5\text{ hours}

And we're done!

3 0
3 years ago
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