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bagirrra123 [75]
3 years ago
10

H(t)=(t+3)^2+5

Mathematics
1 answer:
sineoko [7]3 years ago
7 0

Answer:

Option C. −4≤t≤−3

Step-by-step explanation:

we have

H(t)=(t+3)^2+5

This is the equation of a vertical parabola written in vertex form

The parabola open upward (the leading coefficient is positive)

The vertex is a minimum

The vertex is the point (-3,5)

The function is increasing in the interval [-3,∞)

The function is decreasing in the interval (-∞,-3]

The function will have a negative average rate when the function will be decreasing

therefore

the answer is option C

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A manufacturer determines that the number of toys it can sell is given by the formula
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Answer:

The price where the manufacture sells the maximum number of toys is $20

Step-by-step explanation:

The given equation for that represents the number of toys the manufacturer can sell is given as follows;

T = -4·p² + 160·p - 305

Where;

p = The price of the toys in dollars

At the point where the manufacture sells the maxim number of toys on the graph of the equation T = -4·p² + 160·p - 305, which is the top of the graph, the slope = 0

Therefore, at the maximum point;

The slope = 0 = dT/dp = d(-4·p² + 160·p - 305)/dp = -8·p + 160

∴ -8·p + 160 = 0

160 = 8·p

8·p = 160

p = 160/8 = 20

The price where the manufacture sells the maximum number of toys is = p = 20 dollars

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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No table given, see below

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Answer:

See explanation

Step-by-step explanation:

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According to the order of the vertices,

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