Plato answer is 13863
what is the earliest time when the pool will be empt ??
A)10 A.M.
B)11 A.M.
C) 4 P.M.
D) 5 P.M.
If (x1, y1) and (x2, y2) are distinct solutions to the system of equations shown above, what is the sum of the y1 and y2?
Solving the system we can see that the sum of the y-values of the two solutions is 139.
Let's solve the system of equations.
y = 10 + 16x − x²
y = 3x + 50
We can write this as a single quadratic equation:
10 + 16x - x² = 3x + 50
10 + 16x - x² - 3x - 50 = 0
-x² + 13x - 40 = 0
Using the quadratic formula we will get the two solutions for x:
So the two solutions are:
x = (-13 + 3)/-2 = 5
x = (-13 - 3)/-2 = 8
Evaluating the linear equation in these two values we will get y1 and y2.
if x = 5
y₁ = 3*5 + 50 = 65
if x= 8
y₂ = 3*8 + 50 = 74
The sum is:
65 + 74 =139
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The distinct solutions to the system of equations are (5, 65) and (8, 74), and the sum of the y-values is 139.
To find the sum of y-values of the distinct solutions to this system of equations, first, you need to set the two equations equal to each other to find the x-values of the solutions:
10 + 16x − x^2 = 3x + 50.
Then, solve the resulting equation for x:
x^2 - 13x + 40 = 0.
This is a quadratic equation, and it can be solved either by factoring or using the quadratic formula. The solutions for x result in:
x = 5 and x = 8.
These are the two distinct x-values for the intersections of the graphs of the two equations. To find the corresponding y-values, plug these x-values into either of the original equations. We'll use the simpler equation, y = 3x + 50:
For x = 5, y = 65 and for x = 8, y = 74.
Therefore, the distinct solutions to the system of equations are (5, 65) and (8, 74). Finally, the sum of y1 and y2 is 65 + 74 = 139.
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Answer:
The total area of the field is 343 square feet
Step-by-step explanation:
Let us solve the question
∵ There are 7 workers hired to seed a field by hand
∵ Each is given a plot 7 x 7 feet in size
→ The plot has shaped a square because its two dimensions equal
∴ The side of the plot =7 feet
∵ The area of the square = side × side
∴ The area of each plot = 7 × 7
∴ The area of each plot = 49 square feet
→ To find the total area multiply the area of 1 plot by the number
of the workers
∵ The total area = 49 × 7
∴ The total area = 343 square feet
∴ The total area of the field is 343 square feet
Answer:
54 inches
Hope this helps! :)
Step-by-step explanation: