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yarga [219]
3 years ago
5

Using complete sentences, compare the key features and graphs of sine and cosine. What are their similarities and differences?.

.
Using these similarities and differences, how would you transform f(x) = 2 sin(2x - π) + 3 into a cosine function in the form f(x) = a cos(bx - c) + d?
Mathematics
1 answer:
jasenka [17]3 years ago
5 0
So the functions are simply the same but the only different among them is when sin x and cos x is shifted by pi/2 as compared to cos x. I hope you are satisfied with my answer and feel free to ask for more if you have questions and clarifications 
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An animal shelter has 910 of its crates filled with animals.
AnnZ [28]

12/910 which simplifies to 6/455.

Explanation:

Take the amount of crates holding dogs over the total amount of crates

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3 years ago
Type the correct answer in each box. Use numerals instead of words. Function g is a transformation of function f. Graph shows 2
yawa3891 [41]

An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.

The equation for f(x) from the given graph can be written as,

f(x)=e^{(\ln2)x}-2

Now, similarly from the graph the function of g(x) can be written as,

g(x)=-3e^{(\ln2)x}+6

Further, the equation of function g(x) in terms of f(x) can be written as,

g(x) = -3[f(x)]

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4 0
2 years ago
48 is 9 less than 3 times a number. What is the number?
Kamila [148]
19 x 3 = 57 57 - 9 = 48 Your answer is 19.
4 0
3 years ago
Read 2 more answers
Calculating cos-1 ( help is gladly appreciated :) )
Alekssandra [29.7K]

Answer:

\frac{3\pi}{4}

(Assuming you want your answer in radians)

If you want the answer in degrees just multiply your answer in radians by \frac{180^\circ}{\pi} giving you:

\frac{3\pi}{4} \cdot \frac{180^\circ}{\pi}=\frac{3(180)}{4}=135^{\circ}.

We can do this since \pi \text{ rad }=180^\circ (half the circumference of the unit circle is equivalent to 180 degree rotation).

Step-by-step explanation:

\cos^{-1}(x) is going to output an angle measurement in [0,\pi].

So we are looking to solve the following equation in that interval:

\cos(x)=-\frac{\sqrt{2}}{2}.

This happens in the second quadrant on the given interval.

The solution to the equation is \frac{3\pi}{4}.

So we are saying that \cos(\frac{3\pi}{4})=\frac{-\sqrt{2}}{2} implies \cos^{-1}(\frac{-\sqrt{2}}{2})=\frac{3\pi}{4} since \frac{3\pi}{4} \in [0,\pi].

Answer is \frac{3\pi}{4}.

4 0
2 years ago
A) Two angles are adjacent if their measures add up to 90°.
slavikrds [6]

Answer:

A) False

B) False

Step-by-step explanation:

A. Two angles whose measures add up to 90° are said to be complementary, while two angles are adjacent when formed beside each other. So, adjacent angles might be complementary or supplementary. Thus, the answer to the first part of the question is false.

B. When two angles share a side, they are said to be adjacent to each other. But supplementary angles add up to 180^{o}. Since adjacent angles might be complementary or supplementary, then the answer to the second part of the question is false.

4 0
2 years ago
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