Select the correct answer.
What is the exact solution to the system of equations shown on the graph?
OA (-1.4)
oc (-1,63)
OD. (-1,43)

Select The Correct Answer.What Is The Exact Solution To The System Of Equations Shown On The Graph?OA

Answers

Answer 1

Answer:

[tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]

Step-by-step explanation:

To find the exact solution, find the equation for each line. And solve for x and y.

To do this, represent each equation in the slope-intercept form, y = mx + b. Where m is the slope, and b is the y-intercept.

✍️Equation 1 for the line that slopes upwards from left to your right:

Slope = [tex] m = \frac{rise}{run} = \frac{2}{1} = 2 [/tex]

b = the point at which the y-axis is intercepted by the line = 7

Substitute m = 2 and b = 7 in y = mx + b

Equation 1 would be:

✔️y = 2x + 7

✍️Equation 2 for the line that slopes downwards from left to your right:

Slope = [tex] m = \frac{rise}{run} = -\frac{3}{1} = -3 [/tex]

b = the point at which the y-axis is intercepted by the line = 1

Substitute m = -3 and b = 1 in y = mx + b

✔️Equation 2 would be:

y = -3x + 1

✍️Solve for x and y:

✔️To solve for x, substitute y = -3x + 1 in equation 1.

y = 2x + 7

-3x + 1 = 2x + 7

Collect like terms

-3x - 2x = 7 - 1

-5x = 6

Divide both sides by -5

[tex] x = \frac{6}{-5} = -1\frac{1}{5} [/tex]

✔️To solve for y, substitute x = -1⅕ in equation 2.

y = -3x + 1

[tex] y = -3\frac{-6}{5} + 1 [/tex]

[tex] y = \frac{18}{5} + 1 [/tex]

[tex] y = \frac{18 + 5}{5} [/tex]

[tex] y = \frac{23}{5} [/tex]

[tex] y = 4\frac{3}{5} [/tex]

✅The exact solution would be: [tex] (-1\frac{1}{3}, 4\frac{3}{5}) [/tex]


Related Questions

Samantha and her friends are going on a road trip that is 245 7/50 miles long. They have already driven 128 53/100. How much farther do they have to go?

Answers

Answer:

They have to drive 182, 2820 miles more.

Step-by-step explanation:

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Step-by-step explanation:

If the mean of the four numbers 4, 8, 2x and
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Answers

Answer:

8

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A student records the sexes and breeds of a dog in animal shelter. Which kind of data is the student recording

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Answer:

sexes and breeds duh

Step-by-step explanation:

Answer:

data of the dogs

Step-by-step explanation:

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You have at most 8 hours to spend at a beach and at a planetarium. You want to spend more than 2 hours at the beach and at least 2 hours at the planetarium. Let x be the number of hours at the beach and let y be the number of hours at the planetarium. Which system represents the situation

Answers

Answer:

x > 2

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Step-by-step explanation:

Here, we want to write a system of equations according to the given variables

More than means, greater than

since x is the variable we want to use;

x > 2

At least 2 hours means greater than or equal to 2

That is mathematically represented as;

y ≥ 2

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So;

x + y ≤ 8

Courtney drove 48 miles to her friends house she got there in a hour and 12 minutes how fast was she driving on average

Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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HELP ILL GIVE BRAINLIEST AND POINTS
Find the percent decrease. Where necessary round to the nearest tenth of a percent

1. from 60 to 48

2. from 180 to 108

3. from 64 to 24

4. from 6.5 to 4.8

5. The average cost of a gallon of gasoline was $1.29 in 1997 and $1.12 in 1998. Find the percent of decrease.

Answers

Answer:

Hey, ill do like 2 and you can do the rest

percent decrease or change is

new-old over old

So like #1

1) 60 is old, 48 is new

so 48-60=-12

now over old which is 60

-12/60

-1/5

20 percent decrease

2) 180 is old, 108 is new

108-180=-72

-72/180

40 percent decrease

Step-by-step explanation:

Write 2200 feet to 6 seconds as a rate in lowest terms. Label the rate correctly.
1100 feet/6 sec
2200 feet/6 sec
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Answers

Answer:

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Step-by-step explanation:

[tex]x^2+8x+11=0[/tex]

Answers

Answer : what’s the question ?
If you are looking for it to be solved in quadratic equation then it is x=−4±√5

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Answers

Answer:

6,371.15

Step-by-step explanation:

3.14 times 13^2 times 12

Answer:

Volume equals pi times radius to the power of 2 times height

that will be pi times 13^2 times 12= 6,367.92

radius is the 13 and you have to put it to the power of 2 and multiply it by 3.14 which is pi and multiply it by 12 and the answer is 6,367.92

Step-by-step explanation:

A shirt is advertised for 30% off the list price of $19.00. What is the sale price?

The sale price is $ ????????????

Answers

Answer:

13 dollars

Step-by-step explanation

30 percent - 0.3

0.3 times 19 = 13

Answer:

$13.30

Step-by-step explanation:

This problem is asking you to find thirty percent of nineteen. So, after setting up the proportion and doing the cross multiplying, I found that the amount of the discount is five dollars and seventy cents.

Now that I have the discount price, I just needed to subtract that from the regular price. Nineteen dollars minus five dollars and seventy cents is thirteen dollars and thirty cents. The cost of the shirt on sale is thirteen dollars and thirty cents.

What is 30% of 19? ?/ 19 = 30/100  19 x 30 = 570 ÷100= 5.7. The discount is $5.70 $19.00-$5.70= $13.30. so the sale price is $13.30

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Answers

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Step-by-step explanation:

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Answers

Answer:

d. y=2x-8

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Step-by-step explanation:

I used desmos and put in all of the answer options to see which one worked the best.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

y = -3x + 0

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation: hope this helps!

I’ll give brainliest
At Silver Gym, membership is $25 per month, and personal training sessions are $40 each. At Fit Factor, membership is $55 per month, and personal training sessions are $30 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

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I’m not sure if this answer.

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Answers

Answer:

[tex]x = 14ft[/tex]

Step-by-step explanation:

Given

[tex]Actual\ Length = 21ft[/tex]

Model:

[tex]3\ ft = 2\ in[/tex]

Required

Determine the length of the replica

Represent the model as a ratio:

[tex]Ratio = 3\ in:2\ ft[/tex]

Convert to fraction

[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]

Represent the actual lengths as a ratio

[tex]Ratio = 21\ ft : x[/tex]

Where x is the length of the replica

Convert to fraction

[tex]Ratio = \frac{21\ in}{x}[/tex]

Equate both ratios (because they are in proportion)

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[tex]3 * x = 21 * 2\ ft[/tex]

[tex]3x = 42\ ft[/tex]

Solve for x

[tex]x = \frac{42ft}{3}[/tex]

[tex]x = 14ft[/tex]

Hence, the length of the replica is 14ft

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day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y

Answers

Answer:

B

Step-by-step explanation:

Answer:

5(6)+0.65y

Step-by-step explanation:

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5(6)+0.65y

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Answers

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Answers

Answer:

17

Step-by-step explanation:

4(5)-3

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17

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Select the correct answer.
Which point is a solution to the system of inequalities graphed here?
ys 2x + 2
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-10
10
7-10

Answers

Answer:D. (5,0)

Step-by-step explanation:

The point which is a solution to the system of inequalities graphed here is (0, 5)

The solution to the system of inequalityFrom the given graph, the solution of the system of inequality is the point where the two lines meet.

From the graph, you can see that the x-coordinate of the solution is at x = 0  while the y-coordinate of the solution is at y = 5.

Hence the point which is a solution to the system of inequalities graphed here is (0, 5)

Learn more on inequality graph here: https://brainly.com/question/24372553

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Answers

Step-by-step explanation:

7(4)-3=25

i hope it will help

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Answers

Answer:

19 questions right

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

-6

Step-by-step explanation:

plug -2 into x

-6 should be the correct answer

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Answers

Answer:

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Decimal: 0.235

Step-by-step explanation:

Answer:

fraction is 47/200

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Step-by-step explanation:

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Answers

Answer:32

Step-by-step explanation:

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What is the slop of a line that passes through (2,10) and (1,6)

Answers

Answer:

4

Step-by-step explanation:

Slope is x2-y2/ x1-y1

So, its 6-10/1-2

or, -4/-1

Or 4.

Hope this helps you!

#Team Rainbows.

Answer:

4.

Step-by-step explanation:

The slope = (difference in y coordinates) / (corresponding difference in the x coordinates)

= (10-6)/ (2-1)

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= 4.

A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock?

Answers

Answer:

The radius of the clock is 7.72 meters

Step-by-step explanation:

Here, we want to calculate the radius of a clock which has a circumference of 48.5 m

Mathematically;

Circumference C = 2 * pi * r

48.5 = 2 * 22/7 * r

7 * 48.5 = 44r

r = (7 * 48.5)/44

r = 7.72 meters

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