Trevon and Jack are selling pies for a school fundraiser. Customers can buy apple

Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we

Allushta [10]

Part a) Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours

we know that

--------> inequality

Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

--------> inequality

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N

--------> inequality

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N

Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

--------> inequality

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N

Let

------> see the attached figure N

The point belongs to the shaded area, so it is a system solution.

If the point is a solution, it must satisfy both inequalities.

Prove algebraically

substitute the value of x and y in the inequalities

inequality

------> is ok

inequality

-------> is ok

the point A satisfy both inequalities

therefore

the point A is a solution of the system

5 0

3 years ago

Read 2 more answers

Please help me <br><br>If 180°<α<270°, cos⁡ α=−8/17, what is sin -α?

rewona [7]

Starting from the fundamental trigonometric equation, we have

$\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}$

Since $180$ , we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

$\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}$

Plugging the numbers, we have

$\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}$

Now, just recall that

$\sin(-\alpha)=-\sin(\alpha)$

to deduce

$\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}$

6 0

3 years ago

Read 2 more answers

Write one problem using a dollar amount of $420 and a percent of 40%. Provide a solution to your problem. Please help I'm desper

luda_lava [24]

You could do :
Johnny was financing a limited editions Xbox One S. The price was $420 and he put down 40%. How much is left to be financed?
dp=420(40/100)=16800/100=168
then you would subtract 420-168 which would give you 252
;) good luck !!

3 0

2 years ago

Th<br> Write an<br> explicit formula for<br> ans<br> then<br> term of the sequence 40,50,60, ....

kenny6666 [7]