Answer:
3.
Step-by-step explanation:
Implicit differentiation:
x^2 y + (xy)^3 + 3x = 0
x^2 y + x^3y^3 + 3x = 0
Using the product rule:
2x* y + x^2*dy/dx + 3x^2 y^3 + x^3* (d(y^3)/dx) + 3 = 0
2xy + x^2 dy/dx + 3x^2 y^3 + x^3* 3y^2 dy/dx + 3 = 0
dy/dx(x^2 + 3y^2x^3) = (-2xy - 3x^2y^3 - 3)
dy/dx= (-2xy - 3x^2y^3 - 3) / (x^2 + 3y^2x^3)
At the point (-1, 3).
the derivative = (6 - 81 - 3)/(1 -27)
= -78/-26
= 3.
Answer: M= slope
M= -3
Step-by-step explanation:
M= the change in y over the change in x so you do -4-2 over 8-6 which would give you -6 over 2 which is simplified to give you the answer which is -3
Answer:
f(-2) = 3
Step-by-step explanation:
Given that,
f(x) = x + x + 7
We need to find the value of f(-2).
Put x = -2 in the given function.
f(-2) = (-2) + (-2) + 7
= -2-2+7
= -4+7
= 3
Hence, the value of f(-2) is equal to 3.
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Assumptions
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Let x be the amount of 25% orange juice
Let y be the amount of 10% orange juice
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There are 15 litres of 13% orange juice
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x + y = 15
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The 15 litres of juice is 13% orange juice
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0.25x + 0.1y = 15 x 0.13
0.25x + 0.1y = 1.95
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Rewrite the equations and solve for x and y
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x + y = 15 ----------------------- (Equation 1)
0.25x + 0.1y = 1.95 ----------- (Equation 2)
(Equation 1):
x + y = 15
x = 15 - y ----------- (Substitute into Equation 2)
0.25 (15 - y) + 0.1y = 1.95
3.75 - 0.25y + 0.1y = 1.95
0.15y = 1.8
y = 18 ÷ 0.15
y = 12 ------------- (substitute into Equation 1)
x + y = 15
x + 12 = 15
x = 15 - 12
x = 3
x = 3 and y = 12
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Answer: 3 liters of 25% of orange juice with 12 liters of 10% orange juice
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If you would like to calculate 71/5 - 62/5, you can do this using the following steps:
71/5 - 62/5 = (71 - 62) / 5 = 9/5 = 1 4/5
The correct result would be 1 4/5.