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Arisa [49]
2 years ago
6

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST​

Mathematics
1 answer:
shusha [124]2 years ago
8 0

Answer:

A. 49 + 16 (t - 1)

Step-by-step explanation:

Plug in t = 1 to test for the first hour:

49+16(1-1)=49+16(0)=49

Test as many values as you like, but testing t = 5:

49+16(5-1)=49+16(4)=49+64=113

You can see that plugging in just a few values confirms the answer.

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Answer:

The area of the triangle formed by origin, and the points (4,5) and (-2,5) will be 15 sq. units.

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The two parabolas are y = - \frac{1}{3}(x - 1)^{2} + 8 and y = x² - 2x - 3.

Now, solving those two equations we will get the points of intersection.

So, - \frac{1}{3}(x - 1)^{2} + 8 = x^{2} - 2x - 3

⇒ - (x - 1)² + 24 = 3x² - 6x - 9

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Now, points (4,5) and (-2,5) make a straight line parallel to the x-axis at a perpendicular distance of 5 units from origin and its length is (4 - (- 2)) = 6 units.

So, the area of the triangle formed by origin, and the points (4,5) and (-2,5) will be = 0.5 × 5 × 6 = 15 sq. units. (Answer)

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