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Mathematics

1 answer:

Scrat [10]3 years ago

3 0

Answer:

C. all real numbers except 3/4

Step-by-step explanation:

f(x) and g(x) are both defined for all real numbers. However, the ratio f/g will be undefined where g(x) = 0. That occurs when ...

4x -3 = 0

4x = 3 . . . . . add 3

x = 3/4 . . . . . divide by 4

The value of x = 3/4 makes f/g undefined, so must be excluded from the domain.

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On average, a pair of bike tires can last 18 months if used every day. The length of time bike tires can last is exponentially d

aleksandr82 [10.1K]

Answer:

We conclude that eighty percent of bike tires last at most 14.4 months.

Step-by-step explanation:

We know that a pair of bike tires can last 18 months if used every day.

We calculate how much eighty percent of the tire will last in months.

We have the following proportion:

$18:100\%=x:80\%\\\\100x=18\cdot 80\\\\100x=1440\\\\x=\frac{1440}{100}\\\\x=14.4$

We conclude that eighty percent of bike tires last at most 14.4 months.

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3 years ago

Josiah traveled 79.5 miles on 3 gallons of gasoline. At this rate, how many gallons of gasoline would he need to travel 265 mile

BigorU [14]

Josiah would need 10 gallons to travel 265 miles.

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79.5/3=26.5

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Now we will divide 265 by 26.5 to find the answer to the problem.

265/26.5=10

Josiah will need 10 gallons of gas to travel 265 miles

7 0

2 years ago

Read 2 more answers

What is the slope of the line shown below?

Sergio039 [100]

Answer:

Option D

Step-by-step explanation:

We are given the two points of (5, 11) and (-5, -1).

Use the slope formula.

$m=\frac{rise}{run}=\frac{-1-11}{-5-5} =\frac{-12}{-10} =\boxed{\frac{6}{5}}$