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)
Answers
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]
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Here, we want to write a system of equations according to the given variables
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Answers
Answer:
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Step-by-step explanation:
Given
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Answers
Answer:
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Step-by-step explanation: hope this helps!
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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B. 5(65) + 6y
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation
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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: