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3 years ago

Drag each equation to the correct location on the table.

Mathematics

1 answer:

Tomtit [17]3 years ago

7 0

Answer: The 1st one is 1 soultion the 2nd one is 1 soultion the 3rd one is multiple soultion and the last one is multiple solution

Step-by-step explanation: hope I am right?

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What is the slope of the line that passes through the points (-4, 8) and (-14, 8) ?

jasenka [17]

Answer:

Step-by-step explanation:

(8-8)/(-14+4) = 0/-10 = 0 is the slope

4 0

3 years ago

The coordinate plane below represents a city.

alex41 [277]

Answer:

Part A) The system of inequalities is

$x\geq2$ and $y\geq2$

Part B) In the procedure

Part C) The schools that Natalie is allowed to attend are A,B and D

Step-by-step explanation:

Part A: Using the graph above, create a system of inequalities that only contain points C and F in the overlapping shaded regions

we have

Points C(2,2), F(3,4)

The system of inequalities could be

$x\geq2$ -----> inequality A

The solution of the inequality A is the shaded area at the right of the solid line x=2

$y\geq2$ -----> inequality B

The solution of the inequality B is the shaded area above of the solid line y=2

see the attached figure N 1

Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Verify point C

C(2,2)

<em>Inequality A</em>

$x\geq2$ -----> $2\geq2$ ----> is true

<em>Inequality B</em>

$y\geq2$ ------> $2\geq2$ ----> is true

therefore

Point C is a solution of the system of inequalities

Verify point D

F(3,4)

Inequality A

$x\geq2$ -----> $3\geq2$ ----> is true

Inequality B

$y\geq2$ ------> $4\geq2$ ----> is true

therefore

Point D is a solution of the system of inequalities

Part C: Natalie can only attend a school in her designated zone. Natalie's zone is defined by y < −2x + 2. Explain how you can identify the schools that Natalie is allowed to attend.

we have

$y < -2x+2$

The solution of the inequality is the shaded area below the dotted line $y=-2x+2$

The y-intercept of the dotted line is the point (0,2)

The x-intercept of the dotted line is the point (1,0)

To graph the inequality, plot the intercepts and shade the area below the dotted line

see the attached figure N 2

therefore

The schools that Natalie is allowed to attend are A,B and D

6 0

4 years ago

Consider the equations of the two lines below:

ExtremeBDS [4]

Answer:

Neither, they have a solution

Step-by-step explanation:

Use a sheet of graphing paper and graph the equation using the y-intercept and slope.

6 0

3 years ago

The temperature dropped 2 degrees farenheit every hour for 6 hours. What was the total number of degrees the temperature changed

babunello [35]

2 per hour
6 hours

6 times 2= 12

3 0

4 years ago

Read 2 more answers

A toy company has determined that the revenue generated by a particular toy is modeled by the following equation: 10x - 0.025x²

Digiron [165]

Answer:

Maximum revenue = 1000 thousands of dollars.

Explanation:

We have the revenue equation $r(x)=10x - 0.025x^2$ , where x is measured in thousands of toys produced, and r(x) is measured in thousands of dollars.

At maximum revenue the derivative of equation is zero

So, $r'(x)=0\\ \\10 - 0.025*2x=0\\ \\ x=10/0.05\\ \\ x=1000/5=200$

So maximum revenue is when 200 thousands of toys are produced.

Maximum revenue, $r(200)=10*200 - 0.025*200^2\\ \\ r(200)=1000$

Maximum revenue = 1000 thousands of dollars.

5 0

3 years ago