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Natalka [10]
3 years ago
10

Let f(x)=3x+2 and g(x)=5x-8 find all value of x for which f(x) > g(x)

Mathematics
1 answer:
kirill115 [55]3 years ago
4 0

Answer:

x < 5

Step-by-step explanation:

f(x)  > g(x) \\    <  =  > 3x + 2 > 5x + 2 \\  <  =  >  - 2x >  - 10 \\   <  =  > x < 5  \:( qed)

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Step-by-step explanation:

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And on this case since the value for the slope is positive the best interpretation is:

E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage

Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033

b) For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.

And the best interpretation is given by:

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For this reason is not meaningful since we are not interested on 0 or negative city mpg.

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d) See the figure attached.

Step-by-step explanation:

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highway mpg = 6.785 + (1.033 × city mpg)

(a) What is the slope of this line? Say in words what the numerical value of the slope tells us.

As we can see on the equation given the slope os 1.033 since is the value next to the city mpg (independent variable)

And on this case since the value for the slope is positive the best interpretation is:

E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage

Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033

(b) What is the intercept? (Enter your answer to three decimal places.)mpgExplain why the value of the intercept is not statistically meaningful.

For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.

And the best interpretation is given by:

B. Because this is the highway mileage for zero city mpg.

For this reason is not meaningful since we are not interested on 0 or negative city mpg.

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See the figure attached

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