The tables represent two linear functions in a system.

What is the solution to this system?
у
0 (43, -25)
0 - 14.-54]
O (-13, -50)
O (-14, -54)

The Tables Represent Two Linear Functions In A System.What Is The Solution To This System?0 (43, -25)0

Answers

Answer 1
the last one. d.
hope that helps :)
Answer 2

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From left to right for the tables :

[tex]1) \: \: \: \: y = 4x + 2[/tex]

And

[tex]2) \: \: \: \: y = 3x - 12[/tex]

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To find the solution we need to take equal above equations .

[tex]4x + 2 = 3x - 12[/tex]

Subtract sides 3x

[tex] - 3x + 4x + 2 = - 3x + 3x - 12 \\ [/tex]

[tex]x + 2 = - 12[/tex]

Subtract sides 2

[tex]x + 2 - 2 = - 12 - 2[/tex]

[tex]x = - 14[/tex]

Thus the x-coordinate of the solution must be -14 which is just in the last option.

Thus the correct answer is the last one.

Done...

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Related Questions

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Answer:

540 minutes in hours =540/60

=9 hours

The time 540 minutes in hours will be 9 hours.

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The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the time is 540 minutes. The value of time in hours will be calculated as,

The time of 60 minutes is equal to 1 hour. So divide the time 540 minutes by 60 minutes.

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Step-by-step explanation:

car rental agency charges a base rate plus a certain amount per day (d) and can be modeled using the expression 15+ 18d. What is the meaning of 18d in the expression? *
4 points
It is the base rate to rent a car.
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Answers

Answer:

It is the portion of the cost based on renting a car for d days

Step-by-step explanation:

Given:

Total cost = 15 + 18d

Total cost = fixed cost + variable cost

Fixed cost are cost that do not change.

Fixed cost = base rate = 15

Variable cost changes during production process. The variable cost in the above varies with the number of days (d)

Therefore, 18d is the portion of the cost based on renting a car for d days.

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Answers

The answer : 4.159%

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Brenda has to remote controlled race cars painted red and blue. The red car travel 38 feet in two seconds. The blue car traveled 54 feet in four seconds. Which car was faster and by how much

Answers

The red car was faster by 11 feet
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I mark as brainliest ​

Answers

Answer:

-2, 0

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Answer:

-2,0

Step-by-step explanation:

X is -2 and Y is 0.

So X,Y = -2,0.

Melissa is saving $25 that she earned for washing her mom’s car. She earns $19 every week for doing chores, which she also saves. Which equation can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores.

Answers

Answer:

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A taxi driver charges a fee if $4 plus 1.50 per mile. If you total was $13 how manu miles did you take

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Answer:

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Step-by-step explanation:

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Hats cost $4 each while scarves cost $3 each. John buys 5 items (all hats and scarves) and spends a total of $17. How many hats did he buy?

Answers

Answer:

2 hats

Step-by-step explanation:

4+4+3+3+3=17

Each hat costs $4 and each scarf costs $3.

He bought 5 items. Two of those items were hats.

The rest were scarfs.

The number of hats bought by John are 3

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Two or more expressions with an Equal sign is called as Equation.

Let the hat is represented by x

scarves is denoted by y

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x+y=5..(2)

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Answer:

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Answers

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Answers

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Step-by-step explanation:

Answer:✨

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✨Step-by-step explanation:✨

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The mayor of a town saw an article that claimed the national unemployment rate is 8%. They wondered if this held true in their town, so they took a sample of 200 residents to test H_0 : p = 0.08 versus H_a : p != 0.08, where p is the proportion of residents in the town that are unemployed. The sample included 22 residents who were unemployed.Identify the correct test statistic for this significance test to one decimal place.

Answers

Answer:

Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex]   = 1.6  

we reject the Null hypothesis

Step-by-step explanation:

The correct test statistic

Assume :

Null Hypothesis :  H_0 : p = 0.08

Alternative hypothesis : H_a : p ≠ 0.08

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now we apply the test of of significance of single proportion

= Z = [tex]\frac{p - P}{\sqrt{pq/n} }[/tex]

therefore Z = [tex]\frac{0.11-0.08}{\sqrt{0.08*0.92/200} }[/tex]   = 1.6

Therefore we reject the Null hypothesis

Testing the hypothesis, it is found that the test statistic used is z = 1.6.

At the null hypothesis, it is tested if the proportion is of 8%, that is:

[tex]H_0: p = 0.08[/tex]

At the alternative hypothesis, it is tested if the proportion is different of 8%, that is:

[tex]H_1: p \neq 0.08[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.

For this problem, the parameters are: [tex]p = 0.08, n = 200, \overline{p} = \frac{22}{200} = 0.11[/tex]

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On a number line, how are the locations of 9 and -9 related?
A.
The two numbers are opposites in value and lie in opposite direction on the number line.
B.
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Answers

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none.

Step-by-step explanation:

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+0
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Step-by-step explanation:

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The pilot of an airplane flying at an elevation of 5000 feet sights two towers that are 300 feet apart. If the angle of depression to the tower closer to him is 30, determine the angle of depression to the second tower.

Answers

Answer: 29.2 degree

Step-by-step explanation:

Given data:

Elevation of the pilot = 50,000 feet

Elevation of the two towers = 300 feet apart.

Depression of closer tower = 30

Solution:

The angle of depression to the second tower is x

tanx = 5000/(5000*√(3)+300)

x=29.2

Therefore the angle of depression of the second tower is at 29.2 degree

Answer:

29.2°

Step-by-step explanation:

From diagram (b)

Tan θ= opp/adj

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opp = 5000ft

adj = ?

tan 30° = 5000/x

x tan30° = 5000

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x = 5000/0.577

x = 8665.5ft

From diagram c

tan θ = opp/adj

Where θ = ?

opp = 5000

adj = 300+x

x= 8665.5

tan θ = 5000/300+8665.5

tan θ = 5000/8965.5

tan θ = 0.55769

θ = arch tan 0.55769

θ = 29.147

θ= 29.2°

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Answer:

C.

Step-by-step explanation:

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