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Sergio [31]
2 years ago
15

Need help with Algebra 2! Thank you! :)

Mathematics
1 answer:
Olin [163]2 years ago
7 0

Answer:

Consider the parent logarithm function f(x) = log(x)

Now,

Let us make transformations in the function f(x) to get the function g(x)

•On streching the graph of f(x) = log(x) , vertically by a factor of 3, the graph of y = 3log(x) is obtained.

•Now, shrinking the graph of y = 3log(x) horizontally by a fctor of 2 to get the grpah of y = 3log(x/2) i.e the graph of g(x)

Hence, the function g(x) after the parent function f(x) = log(x) undergoes a vertical stretch by a factor of 3, and a horizontal shrink by a factor of 2 is

g(x) = 3 log(x/2) (Option-B).

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Select the correct answer. In which of the scenarios can you reverse the dependent and independent variables while keeping the i
SashulF [63]

Answer:

In Option A, we can see that the reverse may not be true as the increase in the risk for lung cancer may not necessarily mean an increase in cigarette smoked in a day. For example, high risk of lung cancer may be due to high exposure to asbestos dust too.

In Option B, again we can see that the reverse may not be true as an increase in the height of an infant does not necessarily mean that the age of the infant is increasing too. For example the infant may have a rapid gain in height even if the age is not increasing as rapidly.

In Option C, too, that an increase in the amount of pollution in a city does necessarily mean that the number of vehicles in the city has increased. For example, this increase in pollution may be due to the establishment of a high pollution causing industry in the city or in it's vicinity.

Likewise, in Option D, an increase in the density of water does not necessarily mean that the concentration of salt in the water has increased.

Only in Option E do we see a possible reverse dependence happening because an increase in the phone bill amount does usually mean an increase in the number of calls made by the cell phone.

So, in the given list of Options only in Option E can we reverse the dependent and independent variables while keeping the interpretation of the slope meaningful.

Step-by-step explanation:

3 0
2 years ago
Need help on this problem <br> Multiple questions
umka21 [38]

answer: a. input, output

explanation: this is because the x values can not repeat in a function. if they do, they would not pass the vertical line test, and therefore it would not be a function. so, each input and output must be different values. :)

7 0
3 years ago
If Starbucks’s marketing department estimates the income elasticity of demand for its coffee to be 2.8, how will the prospect of
cluponka [151]

Answer:

The percent change in quantity is -0.14%.

Step-by-step explanation:

The formula to compute the change in quantity is:

Income\ elasticity\ of\ demand=\frac{Percent\ change\ in\ qunatity\ demanded}{Percent\ change\ in\ price}

The income elasticity of demand is 2.80.

Percent change in price is -5% (since the prices decreases)

Compute the percent change in quantity demanded as follows:

Income\ elasticity\ of\ demand=\frac{Percent\ change\ in\ qunatity\ demanded}{Percent\ change\ in\ price}\\2.80=\frac{Percent\ change\ in\ qunatity\ demanded}{-5\%}\\Percent\ change\ in\ qunatity\ demanded=2.80\times(-5\%)\\=-0.14\%

Thus, the percent change in quantity is -0.14%.

6 0
3 years ago
16x-4=31+12x please help I'm so confused
kolezko [41]
By the way I looked this up but heres the best ive got
<span>Simplifying (-1x + 27) + (16x + 4) = 0 Reorder the terms: (27 + -1x) + (16x + 4) = 0 Remove parenthesis around (27 + -1x) 27 + -1x + (16x + 4) = 0 Reorder the terms: 27 + -1x + (4 + 16x) = 0 Remove parenthesis around (4 + 16x) 27 + -1x + 4 + 16x = 0 Reorder the terms: 27 + 4 + -1x + 16x = 0 Combine like terms: 27 + 4 = 31 31 + -1x + 16x = 0 Combine like terms: -1x + 16x = 15x 31 + 15x = 0 Solving 31 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 15x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 15x = 0 + -31 15x = 0 + -31 Combine like terms: 0 + -31 = -31 15x = -31 Divide each side by '15'. x = -2.066666667 Simplifying x = -2.066666667</span>
4 0
3 years ago
Solve for the equation B=9s^2x
atroni [7]
<span>B = 9s2x If I am correct this should be the answer hope this helps</span>
6 0
3 years ago
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