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3 years ago

The graph of f "(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is true?

Mathematics

1 answer:

kari74 [83]3 years ago

7 0

Answer:

The graph of f has an inflection point at x = 0.

Step-by-step explanation:

An inflection point occurs when the second derivative changes signs. Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.

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What is the equation of the midline of the function f(x) = 5.6sin (2.6x - 4.2) - 9.1?

Iteru [2.4K]

Answer:

$f(x) = -9.1$

Step-by-step explanation:

The midline is set on $f(x) = -9.1$ , when the sine function is equal to zero, eliminating the effect from amplitude. The midline is a horizontal line. Hence, the equation of the midline is:

$f(x) = -9.1$

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3 years ago

A car traveled 360 km in 6 h. A train traveled 400 km in 8 h. A boat traveled 375 km in 5 h. Which has the fastest average speed

Nataliya [291]

First, it is important to know that speed is equal to distance divided by time. I took a picture of my work. Let me know if you still have questions or cannot read something I've written. Thank you!

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3 years ago

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Lilit [14]

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3 years ago

Solve the equation. Check the solution.<br> 6/7x= - 18

dexar [7]

Answer:

x= -21

Step-by-step explanation:

6/7x=-18

divide both sides by 6/7

------------

x= -21

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8 0

3 years ago

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How do you simplify this expression step by step?

nataly862011 [7]

$\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{csc(\theta )-sin(\theta )}{cos(\theta )}\implies \cfrac{~~\frac{1}{sin(\theta )}-sin(\theta )~~}{cos(\theta )}\implies \cfrac{~~\frac{1-sin^2(\theta )}{sin(\theta )}~~}{cos(\theta )}$

$\bf \cfrac{1-sin^2(\theta )}{sin(\theta )}\cdot \cfrac{1}{cos(\theta )}\implies \cfrac{\stackrel{cos(\theta )}{\begin{matrix} cos^2(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}} }{sin(\theta )}\cdot \cfrac{1}{\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\implies \cfrac{cos(\theta )}{sin(\theta )}\implies cot(\theta )$

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3 years ago

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