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vesna_86 [32]
2 years ago
13

Billy has 5 1/4 yards of wire if he uses for is 4 7/8 yards to make a fence how much would he have left​

Mathematics
1 answer:
Ivenika [448]2 years ago
6 0
Answer: 3/8
Reasoning: 5.25 – 4.875 = 0.375, transferred back into a fraction would be 3/8
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Solve and graph the following inequality: 3(7x+17) > -19 + 14x
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Answer:

Solving the inequality we get: \mathbf{x>-7}

Step-by-step explanation:

We need to solve and graph the inequality 3(7x+17) > -19 + 14x

Solving:

3(7x+17) > -19 + 14x

Step 1: Multiply  3 with terms inside the bracket

21x+51 > -19 + 14x

Step 2:Subtracting 51 on both sides

21x+51-51 > -19 + 14x-51\\21x>14x-70\\

Step 3: Subtract 14x on both sides

21x-14x>+14x-70-14x\\7x>-70

Step 4: Divide both sides by 7

\frac{7x}{7}>\frac{-70}{7}\\x>-10

Solving the inequality we get: \mathbf{x>-7}

The graph is attached in the figure below.

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barxatty [35]

z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}

We're given that f_x(6,1)=3 and f_y(6,1)=-1, and want to find \frac{\partial z}{\partial v}(1,2).

By the chain rule, we have

\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}

and

\dfrac{\partial x}{\partial v}=2v

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Then

\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)

(because the point (x,y)=(6,1) corresponds to (u,v)=(1,2))

\implies\dfrac{\partial z}{\partial v}(1,2)=3\cdot2\cdot2+(-1)\cdot(-1)=\boxed{13}

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Answer:

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Step-by-step explanation:

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Answer:

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