MATHEMATICS HIGH SCHOOL

Depth d (in feet) of a river can be modeled by the equation d=−0.25t2+1.7t+3.5, where 0≤t≤7 and t is the time (in hours) after a heavy rain begins. When is the river 6 feet deep?

Answers

Answer 1
Answer:

Answer:

The river is 6 feet at two times, 2.15 hours after the rain and 4.65 hours after the rain.

Step-by-step explanation:

We are given the following in the question:

d=-0.25t^2+1.7t+3.5

0\leq t\leq 7

where, d is the depth of river in feet and t is time in hours after a heavy rain.

We have to find the number of hours for which the depth of river is 6 feet.

Putting d = 6 in the equation, we get,

6=-0.25t^2+1.7t+3.5\n\Rightarrow +0.25t^2-1.7t+2.5 = 0\n\text{Using quadratic formula}\n\n\Rightarrow t = (1.7\pm √((-1.7)^2-4(0.25)(2.5)))/(2(0.25))\n\nt\approx 4.65, 2.15

Thus, the river is 6 feet at two times, 2.115 hours after the rain and 4.65 hours after the rain.

The attached image shows the graph.

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Answers

Step-by-step explanation:

Let the number be x.

ATQ,

Malachy halves the number and gets an answer of 67.3.

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This the equation for the given statement.

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Hello,

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Which answer explains the correct way to move the decimal to find the quotient of 60.8 ÷ 1,000?A.


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Answers


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Answers

Answer:

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Step-by-step explanation:

A polynomial graph has several features we look for to determine the equations.

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Answers

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