1. The answer is 1. To get this answer, substitute x=3 into the function and solve for f(x)
2. The answer is 12. Substitute -5 in place for f(x) and isolate and solve for x.
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One factor will be zero, hence y will be zero, when x=-3.
The other factor will be zero, hence y will be zero, when x=-5.
The zeros of the function are x ∈ {-5, -3}.
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This solution makes use of the "zero product rule," which states a product is zero if and only if one or more factors is zero.
Answer:
2.10 s, 10.40 s.
Step-by-step explanation:
We know that the height of the rocket is given by the function:

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

The last is a quadratic equation, which can be put in the form
and solved applying the formula:

So, let's put the equation on the form
adding
and subtracting
to each side of the equation; the result is:

So, we note that a=16, b=-200, and c=350.
Then,


According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.
Answer:
Step-by-step explanation:
Yes because 6 is 1/2 of 12
Answer:
They are supplementary
Step-by-step explanation:
Since AB and DC are parallel, then the alternate interior angles are congruent because there is transversal cutting the parallel lines (BC). So m<B is supplementary to m<C