Write the equation in slope intercept form?

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

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Write an equation in slope intercept form of the line through point p(8,6) with slope -2

Anestetic [448]

Y = -2x + 6

I think this is it

7 0

4 years ago

How do you turn 9 and 3 5s as a decimal???

Zarrin [17]

Answer:

9.6

Step-by-step explanation:

As 9 and 3/5s, the 9 is whole so you do not change it. To make 3/5th into a decimal you increase the denominator into x/10. To make 5 into 10 you multiply 5x2=10. And since you changed the bottom you have to change the top and multiply it by 2. 3x2=6. So the 9 stays the same and since the first place beind the decimal is tenths, and youre fraction is now 6/10 you put it as 9.6.

Hope it helps!

8 0

3 years ago

Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it.

nataly862011 [7]

Answer: <u>110 feet per second</u>

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

$S1=\frac{45*5280}{3600}=66$

$S2=\frac{60*5280}{3600}=88$

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

$h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}$

$h=\sqrt{12100}=110$

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

7 0

3 years ago

Determine the products of the decimals 4.5 • 3

SVETLANKA909090 [29]

Answer:

13.5

Step-by-step explanation:

put into calculator

3 0

3 years ago

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