MATHEMATICS MIDDLE SCHOOL

If f(x)=5x+4, which of the following is the inverse of f(x)?

Answers

Answer 1

Answer:

$Solution,\mathrm{Inverse\:of}\:5x+4:\quad (x-4)/(5)$

$Steps:$

$y=5x+4$

$\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y, x=5y+4$

$(\mathrm{Solve}\:x=5y+4\:\mathrm{for}\:y),(x=5y+4)$

$\mathrm{Switch\:sides}, 5y+4=x$

$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}, 5y+4-4=x-4$

$\mathrm{Simplify}, 5y=x-4$

$\mathrm{Divide\:both\:sides\:by\:}5, (5y)/(5)=(x)/(5)-(4)/(5)$

$\mathrm{Simplify}, y=(x-4)/(5)$

$\mathrm{The\:Correct\:Answer\:is\:(x-4)/(5)}$

$\mathrm{Hope\:This\:Helps!!!}$

$\mathrm{-Austint1414}$

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Which fractions are equivalent to 40%?

Answers

All of them except 8/100 because it results 0.08 or 8%.

The rest:

2/5 = 0.4 = 40%

8/20 = 0.4 = 40%

4/10 = 0.4 = 40%

16/40 = 0.4 = 40%

40% = 40/100

8/100 doesn’t equal to 40 because it’s already over 100

2/5 x 20 = 40/100

8/20 x 5 = 40/100

4/10 x 10 = 40/100

16/40 divide by 2 = 1/5 x 20 = 20/100

So your answers are 2/5, 8/20 and 4/10

Erin runs laps each day on a track that is 4/8 miles long. This week, she ran 4 4/8 miles on the track. How many laps did she run?

Answers

First, we're going to convert the mixed number into a/n improper fraction.
(4 × 8 ) + 4 = 36/8

Now we're going to divide 36/8 by 4/8 since 4/8 = 1 lap.
36 / 4 = 9.

That is how we get our answer, 9 laps.

Our final answer is 9 laps.

Hope this helps!~

Convert the exponential function to the form indicated. (Round all coefficients to four significant digits.) f(x) = 2.5 e^(-0.7 x); f(x)=A b^x A = ? b = ?

Answers

$f(x)=2.5e^(-0.7x)=2.5\left(e^(-0.7)\right)^x\n\nA=2.5\n\nb=e^(-0.7)$

47 - 3 times the difference of 15 and 2

Answers

47 - 3 is 44. The difference of 15 and 2 is 13. 44 times 13 is 572. Good luck!

Hey, Jazmyneslay58!
47 - 3=44
15-2=13
44*13=572.
I hope this helps;)

The trail around the lake is 7 kilometer long. It takes Manuel 35 minutes to run the trail. What is his unit rate?

Answers

His basic unit rate would be one kilometer per five minutes, I hope this helped. If you have more questions please feel free to ask, and have a nice day! =)

This stainless-steel fittingmeasures 3.9 cm long. It
has an inner diameter of
2.7 cm and an outer
diameter of 3.6 cm. If the
density of stainless-steel
is 8 g/cm3, what is the
mass of the fitting?

Answers

Subtract the volume of the inside diameter from the volume of the outside diameter and then multiply that by the density.

Volume of outside:

PI x 1.8^2 x 3.9 = 39.67704 cubic cm

Volume of inside:

PI x 1.35^2 x 3.9 = 22.318335 cubic cm

Difference: 39.67704 - 22.318335 = 17.358705 cubic cm.

Mass = 17.358705 x 8 = 138.86964 grams. Round the answer as needed.

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