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3 years ago

(WILL DO BRAINLIST)

Mathematics

1 answer:

Lynna [10]3 years ago

6 0

You have a function $y= \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)$ .
Since the range of the function $y=\sin x$ is $[-1,1]$ you have that

$-1\le \sin \left(\dfrac{2t+1}{2}\cdot \pi\right)\le 1 \\ 0\le 1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \le 2 \\ 0\le \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)\le 3$ .
Answer: The range of given function is [0,3] and the correct choice is C.

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Find the value of x cubed minus 2x squared minus 7x + 5 of x=1/2-√3

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Answer:

Step-by-step explanation:

For f(x) = x^3 -2x^2 -7x +5 and x=1/(2-√3), we have ...

f(x) = ((x -2)x -7)x +5

and ...

x = 1/(2-√3) = (2+√3)/(2^2 -3) = 2+√3

Then ...

f(2+√3) = ((2 +√3 -2)(2 +√3) -7)(2 +√3) +5

= (3+2√3 -7)(2+√3) +5

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

Step-by-step explanation:

Given :

At the state fair, admission at the gate is $9.

In addition, the cost of each ride is $3.

Suppose that Sam will go on x rides.

Then, cost of x rides ( in dollars) = Cost per ride x Number of rides

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Total cost ( in dollars) : Admission fee + cost of x rides

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CONCLUSION:

The final answer is:

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$9\text{ + 3x }\leq\text{ t}$

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