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3 years ago

50 POINTS HELP ASAP DUE IN AN HOUR

Mathematics

2 answers:

Inessa05 [86]3 years ago

8 0

Answer:

Your Welcome...

Step-by-step explanation:

Tasya [4]3 years ago

3 0

Answer:

The red line is: y = 2x -4

The blue line is: y = -1/2x + 1

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Two angles are supplementary if their sum is 180°. the larger angle measures five degrees more than four times the measure of a

wlad13 [49]

Let x represent the smaller angle.
Let y represent the larger angle.

The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.

$y=4x+5$

Also, they a supplementary, meaning that they add up to 180. We can create another equation.

$x+y=180$

Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.

Substitute $y=4x+5$ into $x+y=180$

$x+y=180$

After substituting, you get

$x+4x+5=180$

Now, combine the x's

$5x+5=180$

Subtract both sides by 5

$5x=175$

Divide both sides by 5.

$x=35$

Now, we can solve for y using the equation $x+y=180$ since we know the value of x.

$35+y=180$

Subtract both sides by 35.

$y=145$

The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)

5 0

3 years ago

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