How do you substitute x+7y=0 into 2x-8y=22
Answers
x + 7y = 0
x = -7y
since x = -7y we can substitute -7y into the other equation wherever there is an x
2x - 8y = 22
2(-7y) - 8y = 22
-14y - 8y = 22
-22y = 22
y = -1
Now let's substitute -1 back into either of the original equations so we can solve for x
x + 7y = 0
x + 7(-1) = 0
x - 7 = 0
x = 7
So your solution set is
(7, -1)
Related Questions
Initially a pool contains 350 gallons of water. A hose is placed in the pool and the water is turned on. The hose adds 5.2 gallons of water per minute. Model the total amount, V, of water in the pool for x, the number of minutes the hose has been on.a. V(x) = 5.2xb. V(x) = 350x - 5.2c. V(x) = 350x + 5.2 Eliminated. V(x) = 5.2x + 350
Fill in the blank to make a perfect square y^2-12y+?
If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is hot outside. (Check all that apply.) Check All That Apply A. You buy an ice cream cone if and only if it is hot outside. B. You buy an ice cream cone if and only if it is not hot outside. C. You do not buy an ice cream cone if and only if it is hot outside. D. You do not buy an ice cream cone if and only if it is not hot outside.
What is the arc measure of ABC in degrees?with(20y - 11)(4y +6) AP(7y - 7)
Answers
Answer is provided in the image attached.
Answers
Give it the weight of the middle of the range = 11.5 for 7 times = 80.5
The temperature was in the range of 14-17 on 9 of the days.
Give it the weight of the middle of the range = 15.5 for 9 times = 139.5
The temperature was in the range of 18-21 on 16 of the days.
Give it the weight of the middle of the range = 19.5 for 16 times = 312
The temperature was in the range of 22-25 on 22 of the days.
Give it the weight of the middle of the range = 23.5 for 22 times = 517
The temperature was in the range of 26-29 on 6 of the days.
Give it the weight of the middle of the range = 27.5 for 6 times = 165
Total weight for all ranges = (80.5 + 139.5 + 312 + 517 + 165) = 1,214
Total number of days = 60
Estimated mean temperature = (1,214) / (60) = 20.23°C
Answers
The average rate of change will be negative 7 / 3.
How to find the average rate of change of something?
Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:
Average rate = (y₂ - y₁) / (x₂ - x₁)
The exponential function is given below.
f(x) = (0.5)ˣ - 6
Then the average rate of change will be
Average rate = [f(0) - f(-3)] / [0 - (-3)]
Average rate = [(0.5⁰ - 6) - (0.5⁻³ - 6)] / 3
Average rate = [1 - 6 - 8 + 6] / 3
Average rate = - 7 / 3
More about the average rate of change link is given below.
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I hope that this helps :) :) :)
Answer:
It would be the...
Step-by-step explanation:
Average rate of change = -1/3
Hours Draining
Change in Water Level (in.)
2
3.5
9
?
17
29.75
23
?
The swimming pool is draining at a rate of
nothing inches per hour.
(Type an integer or a decimal.)
Enter your answer in the answer box and then click Check Answer.
Answers
Answer:
first answer:-1.75
second:-15.75
third:-40.25
Step-by-step explanation:i am too lazy srry
Final answer:
The constant of proportionality is 1.75 inches per hour. The change in water level at 9 hours of draining is 15.75 inches, and at 23 hours of draining it is 40.25 inches.
Explanation:
The constant of proportionality represents the rate at which the water level is changing over time. To find the constant of proportionality, we can use the formula: constant of proportionality = change in water level / number of hours. Comparing the data in the table, we can find that when the number of hours is 2, the change in water level is 3.5. Therefore, the constant of proportionality is 3.5 / 2 = 1.75 inches per hour.
Next, to find the change in water level at 9 hours, we can multiply the number of hours by the constant of proportionality: 9 x 1.75 = 15.75 inches. Similarly, for 23 hours, the change in water level is 23 x 1.75 = 40.25 inches.
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Answers
10 + 4(x) + 4(1) + 5
10 + 4x + 4 + 5
10 + 4x + 9
10 + 9 + 4x
19 + 4x
4x + 19
18 - 2[x + (x - 5)]
18 - 2(x + x - 5)
18 - 2(2x - 5)
18 - 2(2x) + 2(5)
18 - 4x + 10
-4x + 18 + 10
-4x + 28
Answers
The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.
How to use distance formula?
The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).
By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.
The coordinates of the given points are (-1, 6) and (2, 8).
Apply distance formula to get the distance as below,
Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59
Hence, the required distance between the two points is given as 3.59 units.
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Answer:
or d = 3.61
Step-by-step explanation: