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devlian [24]
3 years ago
6

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t*s)(x) ?

Mathematics
2 answers:
Inessa05 [86]3 years ago
8 0
Hello,

(t*s)(x)=t(x)*s(x)=(4x²-x+3)*(x-7)

Answer D
Gemiola [76]3 years ago
4 0
The expression (t*s)(x) may also be written as t(x)*s(x) which means that the functions are just multiply to each other. From the given,
                           t(x)*s(x) = (4x² - x + 3)(x - 7)
Thus, the answer for this item is letter D. 
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If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height
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Answer:

Time = 7.5\ seconds

Step-by-step explanation:

Given

Equation:\ h(t) = -16t^2 + 120t

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Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

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becomes

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Factorize the above expression

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Split the expression to 2

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Solving the first expression

-4t = 0

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t = \frac{0}{-4}

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Solving the second expression

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Add 30 to both sides

4t - 30+30 = 0+30

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Divide both sides by 4

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t  = \frac{30}{4}

t = 7.5

Hence, the values of t are:

t =0 and t = 7.5

t =0 shows the time before the launching the rocket

while

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Step-by-step explanation:

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