<h3>
Answer: (-7, 4)</h3>
Other solutions are possible.
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Explanation:
The dashed line is . We shade above this dashed line to draw the region for . This region is shown in green and also the gray region as well.
The purple and gray region is which consists of the solid boundary line and stuff below it.
When considering both inequalities at the same time, we shade above the dashed line and below the solid line to get the gray region only.
This gray region is the solution set of the system of inequalities. Pick any point from this region to get the final answer.
One such point is (-7, 4). There are infinitely many other possible answers.
To verify that point, plug in the coordinates into each inequality. When simplifying, you should get a true statement.
What I did to start with was to find the lowest number that both 12 and 10 could divide into, that number is 60.
I know 60 divided by 12 is 5 and I know that 60 divided by 10 is six.
Then I took 5 and multiplied it by 3 and got 15. I did this step because you need 5 packages of cups and each package cost 3 dollars.
Next I took 6 and multiplied it by 5 and got 30. I did this step because you need 6 packages of plates and each package cost 5 dollars.
You would then take 30 dollars and 15 dollars and add them together to get your total.
The answer is 42 dollars.
Aimee is shipping a care package to her friend in college, the max volume of the box is mathematically given as
V=1539.6007
<h3>What is the max
volume of the box?</h3>
Generally, the equation for the height is mathematically given as
V=(20-2x)(40-2x)x
Where x is the height
V=4x^3-120x^2+800x
differentiate v and solve
dv/dx=3x^2-60+200
3x^2-60+200=0
Therefore
x=
x=
x=4.2265
In conclusion, the second differentiation of v and solve we have
d^2v/dx^2=24-240
Hence
d^2v/dx^2< 0
V=(20-2x(40-2x)x
subsitute x
V=(20-2(4.2265))(40-2(4.2265))(4.2265)
V=1539.6007
Read more about volume
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Answer:
750
Step-by-step explanation:
200+50=250
250x3+750