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2 years ago

The function f(x)=2^x and g(x)=f(x)+k if k=2 what can be concluded about the graph of g(x)?

Mathematics

1 answer:

tester [92]2 years ago

8 0

The graph of g(x) = f(x-5) is the graph of y = f(x) translated 5 units to the right.

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1.The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, 2π].

ElenaW [278]

Problem 1

<h3>Answer: D) 2pi</h3>

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

Explanation:

The given table we have is

$\begin{array}{|c|c|c|c|c|c|c|} \cline{1-7}\text{Angle} & 0 & \pi/6 & \pi/2 & 5\pi/6 & 3\pi/2 & 2\pi\\ \cline{1-7}f(x) & 1 & 0 & -1 & 0 & 3 & 1\\ \cline{1-7}\end{array}$

If you were to graph all those points and draw a cosine curve through them, then the function you should get is

$y = 2\cos\left(x+\frac{\pi}{2}\right)+1$

The B coefficient is 1, so that leads to a period of

T = 2pi/B

T = 2pi/1

T = 2pi

=============================================

Problem 2

<h3>Answer: C) 343.134 yards</h3>

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Explanation:

Draw out a triangle with these properties

side a = 270
side b = 170
angle C = 100

We'll use the law of cosines to find side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 270^2 + 170^2 - 2*270*170*cos(100)

c^2 = 117740.902710

c = sqrt(117740.902710)

c = 343.133943

c = 343.134

=============================================

Problem 3

<h3>Answer: A) 2</h3>

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

Explanation:

If you started with y = sin(x) and applied the transformations stated, then you should end up with $y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\$

From here, plug in x = 0 to find the y intercept.

$y = 2\sin\left(2(x+\frac{\pi}{4})\right)\\\\y = 2\sin\left(2(0+\frac{\pi}{4})\right)\\\\y = 2\sin\left(\frac{\pi}{2}\right)\\\\y = 2*1\\\\y = 2\\\\$

7 0

3 years ago

Please help out, using your knowledge of equilateral and isosceles triangles, find the value of x

alukav5142 [94]

Answer:

I think the other angles are 40 degrees excpet the "x" which is 100 also

Step-by-step explanation:

5 0

4 years ago

Three numbers have

irina1246 [14]

Answer:

2, 20, 29

Step-by-step explanation:

2, 20, 29

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3 0

3 years ago

Please help! (will mark as brainliest)

murzikaleks [220]

I think the answer is Y=4+5/4x

8 0

3 years ago

Read 2 more answers

Car A and car B are traveling at different speeds. Car A can travel 175 miles in the same time it takes car B to travel 125 mile

slega [8]

Answer:

The speed of car B is 50 mile per hour

Step-by-step explanation:

Given as :

The Distance travel by car A = 175 miles

The Distance travel by car B = 125 miles

The Time taken by both car A and B is same = T hours

Let The speed of car B = S mile per hour

So, The speed of car A = ( S + 20 ) mile per hour

Now, Time = $\frac{Distance}{Speed}$

So , For Car A ,

T = $\frac{175}{(S + 20 )}$

For Car B ,

T = $\frac{125}{(S}$

So, $\frac{175}{(S + 20 )}$ = $\frac{125}{(S}$

Or, 175 × S = 125 × ( S + 20 )

Or, 175 S - 125 S = 125 × 20

Or, 50 S = 2500

∴ S = $\frac{2500}{(50}$

I.e S = 50 mph

And S + 20 = 50 + 20 = 70 mph

The speed of car A = 70 mph

The speed of car B = 50 mph

Hence The speed of car B is 50 mile per hour Answer

8 0

3 years ago