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Answer:
There are 49 white marbles.
Step-by-step explanation:
w + g = 62 (w = white and g = green marbles).
w = 4g - 3
w - 4g = -3 Subtract this equation from the first equation:
g - (-4g) = 62 - (-3)
5g = 65
g = 65/5 = 13.
So w = 62 - 13 = 49.
Answer: 21 & 18
Step-by-step explanation:
Sum of two numbers is 39
Difference is 3
Let the numbers be x & y
X+y=39........equation 1
X-y=3...........equation 2
X=3+y............equation 3
Substitute equation 3 into equation 1
(3+y)+y=39
3+y+y=39
3+2y=39
2y=39-3
2y=36
Y=36/2
Y=18
Substitute for y in equation 2
X-y=3
X-18=3
X=3+18
X=21
The two numbers are 21 & 18
Answer:
y = 2eˣ - sin x + 1
Step-by-step explanation:
dy/dx = 2eˣ - cos x
(0, 3)
Integrate dy/dx to find the original function.
Solve for C by substituting the point given.
- 3 = 2e⁰ - sin(0) + C
- 3 = 2 - 0 + C
- 1 = C
Now we can substitute C into the original function.
This is the particular, or explicit, solution to the differentiable equation.