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qaws [65]
2 years ago
8

Select the correct answer. Which equation matches the function shown in the graph?​

Mathematics
1 answer:
Kisachek [45]2 years ago
6 0

Answer:

B) y=sin(x+\frac{\pi}{2})

Step-by-step explanation:

Technically, since the function starts at its maximum, you could say the function is y=cos(x), but the answer choices all use sine instead. Therefore, we will have to use the cofunction identity cos(x)=sin(x+\frac{\pi}{2}) and we can see that the correct answer is B.

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Solve for x: 3(x + 1) = −2(x − 1) − 4.
Vlad [161]

Answer:

Multiply the first bracket by 3

Multiply the second bracket by -2

3x+3=-2x+2-4

3x+2x+3=-2x-2   negative (-) number and positive number (+)= negative number

Just rearranging

5x+3=-2

5x+3-3=-2-3

5x=-5

Dividing by 5

5x/5=-5/5

x=-1

Check answer by using substitution method

3(-1+1)=-2(-1-1)-4

0=-2(-2)-4 negative number and negative number = positive number

0=4-4

0=0

Answer is x=-1

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(4x+ 1) - 3i = 2+ (3y + 5)i
Vesna [10]

(4x+1)-3i= 2 +(3y+5)i

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IrinaK [193]
First number=1/2x+3
first number=1/4x+5
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3 years ago
Consider the function f(x) = ex and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of
SIZIF [17.4K]

Answer: Option C

Step-by-step explanation:

If the graph of the function g(x)=f(x) +b  represents the transformations made to the graph of y= f(x)  then, by definition:

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If b the graph moves vertically down

In this problem we have the function g(x)=e^x+5 and our parent function is f(x) = e^x

therefore it is true that b =5 > 0

Therefore the graph of f(x)=e^x is moves vertically upwards by a factor of 5 units.

The answer is the Option C:  "The graph of g(x) is the graph of f(x) shifted up 5 units"

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