Answer:
Step-by-step explanation:
slope=m= 5
points=(-1,2)
<u>By point-slope form:</u>
-
=m(
)
<u>Substitute the values in formula:</u>
<u>y-2=5(x+1)</u> (It is the point slope form)
Now,
<u>Slope intercept form:</u>
y-2=5x+5
y=5x+5+2
<u>y=5x+7</u>
<u />
<h3><u>If you need to ask any questions, please let me know.</u></h3>Answer:
Option D)R: {0 ≤ y ≤ 360}; The range represents the number of miles the car can travel
Step-by-step explanation:
The table in the attached figure
Let
x -----> the amount of gas used in gallons (independent variable)
y ----> the number of miles the car can travel (dependent variable)
In this problem
The domain is the interval -----> [0,12]
The range is the interval ----> [0,360]
If we evaluate the function at infinity, we can immediately see that:
Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.
We can solve this limit in two ways.
<h3>Way 1:</h3>By comparison of infinities:
We first expand the binomial squared, so we get
Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.
<h3>Way 2</h3>Dividing numerator and denominator by the term of highest degree:
Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.
