Answer:
X = 9.5 + m
Step-by-step explanation:
m = money spent
x = money you had at the beginning
x = 9.5 + m
Substitute m in for 3.4
X = 9.5 + 3.4
Solve for x
X = 12.9
You started with $12.90
Answer:
no solution
Step-by-step explanation:
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Answer:
6 chickens, 11 cows.
Step-by-step explanation:
x - chickens
y - cows
x + y = 17
2x + 4y = 56 <-- chickens have 2 legs, cows have 4.
y = -x + 17
Substitute (-x+17) for y in the second equation.
2x + 4(-x + 17) = 56
2x -4x + 68 = 56
2x = 12
<u>x = 6 chickens</u>
Now substitute 6 for x
6 + y = 17
<u>y = 11 cows</u>
From there, you simply need algebra and a calculator that works in radians.
Take the inverse cos of both sides to get 2x = arccos(-1)
Then divide both sides by 2 to get x = arccos(-1) / 2
Put that into a calculator and you get π/2. But because your bounds are 0 to 2π, you have to add π your solution to get the solution on the other side of the unit circle, which would be (3π/2).
Now that you have the x value, put (π/2) and (3π/2) into f(x) to get the y coordinate.
f(π/2) = 2(π/2) + sin(2(π/2) = π, which means this solution is just (π/2, π)
f(3π/2 = 2(3π/2) + sin(2(3π/2) = 3π, which means this solution is (3π/2, 3π)