Answer:
The system of inequalities is


Step-by-step explanation:
step 1
Find the equation of the dashed line with negative slope
The line passes through the points
(0,-2) and (-2,0)
Find the slope

Find the equation of the line in slope intercept form

we have

substitute

The solution of the inequality is the shaded area below the dashed line
therefore
The equation of the inequality A is

step 2
Find the equation of the dashed line with positive slope
The line passes through the points
(0,0) and (4,1)
Find the slope

Find the equation of the line (direct variation)

we have

substitute

The solution of the inequality is the shaded area above the dashed line
therefore
The equation of the inequality B is

therefore
The system of inequalities is


<u>What we know</u>:
- Bird feeder capacity: --> 2 4/5 cups
- Samantha's scoop capacity: --> 7/10 cups
<em>Lets first convert the mixed partial fraction --> improper fraction</em>
<em> --> for easier calculation</em>
<em />
<u>After Conversion:</u>
- Bird feeder capacity: --> 14/5 cups
- Samantha's scoop capacity: --> 7/10 cups
<u>To find how many scoops of birdseed will Samantha put into the feeder we must:</u>
--> divide the total capacity by the scoop's capacity
--> find the number of scoops:
<u>Solve:</u>

Thus the total number of scoops that Samantha will put into the bird feeder is <u>4</u>
<u></u>
<u>Answer: 4</u>
<u></u>
Hope that helps!
Answer:
6x^2+12x+29+50/x-2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Yes, it is a line of slope 1.
Answer:
9
Step-by-step explanation:
9x2 is 18, so he can rent a bike for nine days if the rent is $2