Answer: r=(-189)
first you subtract both sides by 8 and get -21=r/9
then you multiply 9 with each side and get -189 = r
you can check by rewriting the problem with -189 as r and solving the equation
<h3>
Answer: x > 2</h3>
Work Shown:
5x - 14x < - 18
-9x < - 18
x > -18/(-9)
x > 2
The inequality sign flips when dividing both sides by a negative number.
Here's another approach you could take.
5x - 14x < - 18
-9x < -18
0 < -18+9x
18 < 9x
9x > 18
x > 18/9
x > 2
It's a slightly longer pathway, but it avoids a sign flip when you divide both sides by the positive number 9.
The sign flip happens two steps earlier when going from 18 < 9x to 9x > 18. In other words, A < B is the same as B > A.
Answer:
C. The functions have the same y-intercept
Step-by-step explanation:
In slope intercept form, y = mx + b, b represents the y-intercept, and in the first function the y-intercept is 10.
The y-intercept is when x = 0, and in the chart, when x equals 0, y equals 10.
10 = 10, so they have the same y-intercept.
To determine the system of inequality that has been graphed, we need to be very smart.
Observe that all the equations are the same.
Also note that all the lines are solid. This should tell you that the inequities should involve.
Therefore the answer is between option A and B.
So we choose a point in the solution region to discriminate between A and B.
Let us choose the origin since that is easy to evaluate.
We substitute into option A to get.
The above statements are false
We now substitute into option B
Both statements are true, therefore the correct answer is option B.
Answer:
x = 100°
Step-by-step explanation:
Actually the drawing is very inaccurate, so it is a regular pentagon, otherwise x would be 60° and none of the answers would fit.
The formula for finding the sum of all angles in a polygon is:
(n-2) * 180°
n is the number of sides
Here n = 5, so the sum of all angles is (5-2) * 180° = 540°
x + 2x + 86 + 92 + 62 = 540
3x = 300
x = 100
