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fenix001 [56]
3 years ago
12

Which of the following exponential functions represents the graph below?

Mathematics
1 answer:
mario62 [17]3 years ago
3 0

Answer:

the graph corresponds to function "D"  f(x)=3\,(\frac{1}{5} )^x

Step-by-step explanation:

Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)

From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:

We study both:

function C at x = 0 gives:

f(x)= 5\,(\frac{1}{3})^x\\f(0)=5\,(\frac{1}{3})^0 \\f(0)=5\,(1)\\f(0)=5

while function D at x = 0 gives:

f(x)= 3\,(\frac{1}{5})^x\\f(0)=3\,(\frac{1}{5})^0 \\f(0)=3\,(1)\\f(0)=3

Therefore, the graph corresponds to function "D"

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Answer:

C(5,-4), D(-4,-4)

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Step-by-step explanation:

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Aneli [31]

Answer:

1: (3 ,- 4)

2:up (a > o)

3: -4

4: 2 units to the right

5: 4 units down

6: y = (x-2)^2-4

7:

8:

9: (5,9)

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Step-by-step explanation:

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3 years ago
What is the product? 3x^5(2x^2+4+1)
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Answer:

6x^{7} +15x^{5}

Step-by-step explanation:

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Now, all you have to do is simplify.

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5 0
3 years ago
Solve the equation-27.5-m=21.1​
ehidna [41]

Answer:

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Step-by-step explanation:

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m=-27.5-21.1

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A small forest fire is cited due north of a fire lookout tower on Pikes Peak. From a second tower located 12.6 miles due west of
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Answer:

10.76 miles

Step-by-step explanation:

<em>The following figure can be drawn from the information given.</em>

<em>We have to find the adjacent side which is between the given angle and 90 degrees.</em>

<em>Tan formula will be applied</em>

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Angle = 49.5°

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Tan (49.5°) = 12.6/x

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Therefore, the fire is 10.76 miles away from the tower Pikes Peak.

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