Answer:
-5/3
Step-by-step explanation:
Parallel lines are lines which have the exact same slope but different y-intercepts. We can find the slope by converting to slope-intercept form, y=mx+b from standard form.
We convert by using inverse operations to isolate y.
5x+3y=7
5x-5x+3y=7-5x
0x+3y=-5x+7
3y=-5x+7
.
The slope is -5/3. SInce parallel lines have the same slope, the slope for a parallel line will be -5/3.
Michelle's result shows f(2) = -13, selection C.
Differentiate g using the power rule:




The critical points of g occur where g' is zero or undefined.
We have

and the derivative is undefined for

Answer:

The graph has a closed circle.
–7 is part of the solution.
Step-by-step explanation:
Given

Required
Select 3 options from the given list of options

Subtract 22 from both sides


Swap positions of the expression; Note that the inequality sign will change

This means <em>x less-than-or-equal-to negative 7</em>
<em></em>
There are two options left to select;
The inequality sign in
implies that the graph has a close circle.
Inequality signs such as
and
signifies a close circle
There is only one option left to select;
Lastly;
Split the expression
into two
We have:
or 
Because
,
Then, -7 is also a part of the solution
The mug cost $12 as it is, so first you subtract 12 from 34, which is 22. From there, you divide 22 by 2.20, which would be 10. Therefore, she can get a mug and 10 refills for $34.