Answer:
x-intercept: (-2, 0), y-intercept: (0, 10)
Step-by-step explanation:
First, we need to find the equation of this line. The formula to find the slope is:(y1-y2)/(x1-x2). Substituting the real numbers for this formula, (5-(-5))=10, (-1-(-3)=2. 10/2=5.
This means that the slope of this line is 5.
To find the complete equation for this line, we just need to plug in the x-value and add whatever needs to be added to attain the y-value. (You can plug in any x-value/y-value available.)
5=5(-1)+?
-5+<u>10</u>=5.
The complete equation for this line is y=5x+10.
From here, the y-intercept is easy, because the number after the coefficient and variable (5 and x) are before the y-intercept (in standard form). The <em><u>y-intercept is (0, 10)</u></em> because if you plug in 0 for the x-value, you will get 10 as your y-value.
On the other hand, if you plug in 0 for your y-value and solve it out, you will get the x-intercept.
0=5x+10
-10=5x
x=-2
So the <em><u>x-intercept is (-2, 0)</u></em>.
Since
, and you have a corresponding term in the given Riemann sum of
, you know the integral is being taken over an interval of length 5, so you can omit the second choice.
Next,
corresponds to
with
. The fact that
alone tells you that the interval of integration starts at 3, and since we know the interval has length 5, that leaves the first choice as the correct answer.
Answer:
10% decrease
Step-by-step explanation:
The formula for percent change is:
Therefore, for this example:
The negative value indicates that the change was a decrease. Therefore, there was a 10% decrease.
3 GBs per month because you have to take 30-21 (the monthly cost of the phone)=9 and each GB is $3 a month so 9 divided by 3= 3
