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dmitriy555 [2]
3 years ago
10

A student has learned that test scores in math are determined by this quadratic function: s(t) = -(t-6)^2 + 99

Mathematics
1 answer:
ser-zykov [4K]3 years ago
4 0

Answer:

a. 6,  b. 99, c. 63

Step-by-step explanation:

A)  The function s(t) is in the vertex form. The standard vertex form is a(x-h)+k where the vertex is (h,k). The vertex is the highest (or lowest in some cases) point of the graph, so if we use s(t) to get the vertex we get that h=6 and k=99. This means that for a student to get a perfect score they need to study 6 hours

B) We can just take the k value from the first question because that's the highest value for s(t), so the highest score will be 99

C) For this one just plug in 0 for time, so -(0-6)^2+99. This equals -(-6)^2+99, which equals 99-36 =63

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We can follow the following steps to make an equation and solve it.

Step 1:

five less than 13 means we have to subtract 5 from 13

so it becomes 13-5

Step 2:

A number y is five less than thirteen.

Now in algebraic expressions, "is" stands for "="

So we have:

y=13-5

Step 3:

Solving the equation to find y.

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Answer:

For the given equation the solution is y=8.

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Answer:

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Step-by-step explanation:

According to the given statement,

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and

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When they both will work together, they will weed (1/45+1/75) of the garden in one minute

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