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2 years ago

Determine whether the function f(x) = 3x is even or odd.

Mathematics

1 answer:

kari74 [83]2 years ago

5 0

Answer: The function is even because $f(x)=f(-x)$ .

Step-by-step explanation:

$f(x)=3x^4 \\\\f(-x)=3(-x)^4 = 3x^4\\\\\therefore f(x)=f(-x)$

So, the function is even.

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If I travel 43miles an hour. How far would I have traveled in one quarter an hour

Setler [38]

9514 1404 393

Answer:

10.75 miles

Step-by-step explanation:

distance = speed × time

distance = (43 mi/h) × (1/4 h) = 43/4 mi = 10 3/4 mi

You would have traveled 10 3/4 miles in 1/4 hour.

7 0

3 years ago

What is the frequency of the graph of y = 1/3 sin(2x)?

vovangra [49]

Given:

The sine function is:

$y=\dfrac{1}{3}\sin (2x)$

To find:

The frequency of the graph of given function.

Solution:

If a sine function is defined as:

$y=A\sin(Bx+C)+D$

Then, the frequency of the sine function is:

$f=\dfrac{B}{2\pi}$

We have,

$y=\dfrac{1}{3}\sin (2x)$

Here, $B=2$ . So, the frequency of the given function is:

$f=\dfrac{2}{2\pi}$

$f=\dfrac{1}{\pi}$

Therefore, the correct option is D.

3 0

3 years ago

The volume of a? cone-shaped hole is 49 pi ft cubed . If the hole is 3 ft? deep, what is the radius of the? hole?

lidiya [134]

$\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=3\\ V=49\pi \end{cases}\implies 49\pi =\cfrac{\pi r^2(3)}{3}\implies 49\pi =\pi r^2 \\\\\\ \cfrac{49\pi }{\pi }=r^2\implies 49=r^2\implies \sqrt{49}=r\implies 7=r$

3 0

3 years ago

Distinguish between an axoim and a theorem

Anton [14]

Answer:

An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.

Step-by-step explanation:

I think this is right, but don't quote me on this.

7 0

3 years ago

Please simplify this it would help a lot

dexar [7]

Answer:

-1

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers