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Marina86 [1]
3 years ago
6

Pleaseeee help!!! I will mark you as brainlinest for correct answer!!!

Mathematics
1 answer:
sammy [17]3 years ago
6 0
Answer: choice C) g(x) = -2^(x+8)+3

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

Explanation:

To go from f(x) to g(x), we need to do two transformations:
Transformation 1: shift 8 units to the left
Transformation 2: shift 3 units up

To pull off Transformation 1, we will replace every x with x+8. What this does is shift the entire xy axis 8 units to the right giving the illusion that the graph has moved 8 units to the left (when in reality the curve hasn't shifted at all). So that explains why we have x+8 there

Side Note: it is NOT x-8 because that will shift the graph to the right 8 units. So it is NOT choice A. This is a trap/trick answer.

Now onto Transformation 2. To do this, we effectively add 3 to both sides of the f(x) function. So f(x) = -2^x becomes f(x)+3 = -2^x + 3

Applying Transformation 1 and Transformation 2 at the same time has us go from f(x) = -2^x to f(x+8)+3 = -2^(x+8)+3, or in other words,
g(x) = -2^(x+8)+3 which is why choice C is the answer.

GeoGebra confirms the answer. See the attached image.

Side Note: it looks like f(x) touches or lays on the x axis, but this isn't the case. Instead, the function curve gets closer and closer to the x axis but never touches. There is a horizontal asymptote here. The same applies for g(x) as well but the horizontal asymptote is the line y = 3. It has been shifted up 3 units.

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velikii [3]

Answer:

The distribution of scores on this final exam is left-skewed.

Step-by-step explanation:

We use the Pearson Mode Skewness to solve this question. It states that:

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If the median is lower than the mean, the distribution is right-skewed.

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In this problem, we have that:

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3 0
3 years ago
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PSYCHO15rus [73]
The answer is 8.778 cm

5 0
3 years ago
For what value of k will k+9,2k-1 and 2k+7 are the consecutive terms of an A.P
Stolb23 [73]

k = 18

the common difference d of an arithmetic sequence is

d = a₂ - a₁ = a₃ - a₂ = ....

a₂ - a₁ = 2k - 1 - k - 9 = k - 10 and

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k - 10 = 8 ⇒ k = 8 + 10 = 18

the 3 consecutive terms are

27, 35, 43


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Answer:

a=13

Step-by-step explanation:

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