The slope can be found by the "rise over run", that is, is the change in variable y divided by the change in variable x.
In this question,
Substituting the values:
Answer: 0.06 feet per feet of highway.
Answer: stretched by a factor of 2 and translated 8 units right and 5 units down
Explanation:
These is the set of choices that accompany with this question:
<span>a) stretched by a factor of 2 and translated 64 units right and 5 units down
b) stretched by a factor of 8 and translated 8 units right and 5 units down
c) stretched by a factor of 2 and translated 8 units right and 5 units down
d) stretched by a factor of 8 and translated 64 units right and 5 units down
Solution:
</span>Let's work a little the given function to compare it with the parent function.
1) The given function is y = ∛[8x - 64] - 5
2) Extract common factor 8 of the expression inside the square brackets:
y = ∛[ 8( x - 8) ] - 5
3) Extract 8 from the root:
y = 2∛(x - 8) - 5
4) The parent function is ∛x. Call the parent function g(x) => g(x) = ∛x
5) Compare: y is 2 * g(x - 8) - 5
6) Analyze the meaning of that:
g(x - 8) means that the graph of the function is translated 8 units to the right
scaling by 2 means that the graph is stretch vertically (by a scale factor of 2)
- 5 means that the entire graph is shifted 5 units downward.
So, the description of the graph y = ∛(8x - 64) - 5 compared to the parent cube root function is: stretched by a factor of 2 and translated 8 units right and 5 units down
Divide both sides of the equation by 3 to get p by its self.
Answer:
The chicken closed the road.
And then he crawled up the spot
and come over the duck
Answer:
c. If a vehicle's city mpg increases by 1 mile per gallon, its predicted highway miles per gallon will increase by 1.14 miles per gallon.
Step-by-step explanation:
The equation that predicts highway mpg based on city mpg is:
There is a positive relationship between city and highway mpg, which means that an increase in city mph results in an increase in highway mph. As for the magnitude of this increase, it is related to the slope of the equation which happens to be 1.14. This means that if a vehicle's city mpg increases by 1 mile per gallon, its predicted highway miles per gallon will increase by 1.14 miles per gallon.
The answer is alternative C.
