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soldier1979 [14.2K]
3 years ago
9

Select the correct answer.

Mathematics
1 answer:
natulia [17]3 years ago
4 0

Answer:

A.

The y-intercept of m is less than the y-intercept of n.

Step-by-step explanation:

y-intercept of a function:

The y-intercept of a function is the value of y when x = 0

Function n represents a cubic function that passes through the points (-1,0) and (0,2).

When x = 0, y = 2, and thus, the y-intercept is y = 2.

Function m:

When x = 0, y = -6, and thus, the y-intercept is y = -6, which is a smaller number than 2, so the y-intercept of m is less than the y-intercept of n, and the correct answer is given by option A.

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Step 1:

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\begin{gathered} P(t)=-15.64t^2\text{ - 1.24t + 5.2}3 \\ =\text{ -15.64 }\times0.3^2\text{ - 1.24}\times\text{ 0.3 + 5.2}3 \\ =\text{ -1.4076 - 0.372 + }5.23 \\ =\text{ 3.45} \end{gathered}

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\begin{gathered} p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ =\text{ -15.64}\times0.52^2\text{ - 1.23}\times0.52\text{ + 5.23} \\ =\text{ -4.23 - 0.64 + 5.23} \\ =\text{ 0.36} \end{gathered}

d) 0.30 is more likely to be relaible.

e)

\begin{gathered} p(t)\text{ = 1} \\ p(t)=-15.64t^2\text{ - 1.23t + 5.23} \\ 1=-15.64t^2\text{ - 1.23t + 5.23} \\ -15.64t^2\text{ - 1.23t + 4.23 = 0} \\ t\text{ = 0.48222} \\ \text{t = 0.48 seconds} \end{gathered}

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