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alekssr [168]
2 years ago
6

Jack estimates that the cost per mile, in dollars, for operating a certain truck is between 15% and 21% of the number of miles d

riven. This is shown by the system of inequalities below, where x represents the number of miles driven and y represents the cost of operating the truck.
y ≥ 0.15x


y ≤ 0.21x


Based on this information, which statement is true?


A) If Jack drives over 15 miles, it will cost 15 · 0.15 to operate the truck.

B) If Jack drives less than 21 miles, it will cost 21 · 0.21 to operate the truck.

C) If Jack drives the truck 100 miles, it will cost either $15 or $21.

D) If Jack drives 200 miles, it will cost anywhere between $30 and $42.
Mathematics
1 answer:
Xelga [282]2 years ago
7 0

Answer:

  D)  If Jack drives 200 miles, it will cost anywhere between $30 and $42

Step-by-step explanation:

The cost is said to be a range of possibilities. The first three answer choices seem to assume the cost is at one extreme or the other. They incorrectly interpret the statement of cost.

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ANSWER

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EXPLANATION

The area of a tra-pezoid can be calculated using the formula;

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Answer:

\large\boxed{\theta=-\dfrac{\pi}{4}+k\pi\ or\ \theta=k\pi}\ for\ k\in\mathbb{Z}

Step-by-step explanation:

\tan^2\theta+\tan\theta=0\\\\\tan\theta(\tan\theta+1)=0\iff\tan\theta=0\ \vee\ \tan\theta+1=0\\\\\tan\theta=0\Rightarrow \theta=k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\tan\theta+1=0\qquad\text{subtract 1 from both sides}\\\\\tan\theta=-1\Rightarrow\theta=-\dfrac{\pi}{4}+k\pi\ \text{for}\ k\in\mathbb{Z}

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Step-by-step explanation:

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