3 years ago

Select all pairs of alternate EXTERIOR angles. Assume the lines are parallel.

Mathematics

2 answers:

maks197457 [2]3 years ago

3 0

Answer: 2 and 7
1 and 8

Levart [38]3 years ago

3 0

Answer:

1 and 8

2 and 7

Step-by-step explanation:

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The function f(x)=70n -400 models the profit of the instructor of a guitar class per month, where n is the number of students en

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At least 6 students must be enrolled in the class for the instructor to make a profit.

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Step-by-step explanation:

The function $f(x)=70n -400$ models the profit of the instructor of a guitar class per month.

1. If the instructor makes a profit, then

$f(x)>0\\ \\70n-400>0\\ \\7n-40>0\\ \\7n>40\\ \\n>\dfrac{40}{7}\\ \\n>5\dfrac{5}{7}$

So, at least 6 students must be enrolled in the class for the instructor to make a profit.

2. If the instructor needs to make 1,000.00 profit per month, then

$f(x)\ge 1,000\\ \\70n-400\ge 1,000\\ \\7n-40\ge 100\\ \\7n\ge 140\\ \\n\ge \dfrac{140}{7}\\ \\n\ge 20$

So, at least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.

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