In the following exercises, use the Intermediate Value Theorem (IVT). 150. Let h ( x ) = { 3 x 2 − 4 , x ≤ 2 5 + 4 x , x > 2 over the interval [0, 4], there is no value of x such that h(x) = 10, although h(0) < 10 and h(4) > 10. Explain why this does not contradict the IVT.
In the following exercises, use the Intermediate Value Theorem (IVT). 150. Let h ( x ) = { 3 x 2 − 4 , x ≤ 2 5 + 4 x , x > 2 over the interval [0, 4], there is no value of x such that h(x) = 10, although h(0) < 10 and h(4) > 10. Explain why this does not contradict the IVT.
In the following exercises, use the Intermediate Value Theorem (IVT).
150. Let
h
(
x
)
=
{
3
x
2
−
4
,
x
≤
2
5
+
4
x
,
x
>
2
over the interval [0, 4], there is no value of x such that h(x) = 10, although h(0) < 10 and h(4) > 10. Explain why this does not contradict the IVT.
A school counselor is conducting a research study to examine whether there is a relationship between the number of times teenagers report vaping per week and their academic performance, measured by GPA. The counselor collects data from a sample of high school students. Write the null and alternative hypotheses for this study. Clearly state your hypotheses in terms of the correlation between vaping frequency and academic performance.
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Please help solve the following whilst showing all working out. Is part of exam revision questions but no solution is given
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