Simplify the expression. –8(c – b) A) b – 8c B) –8c + 8b C) c – 8b D) 8c – 8b

Mathematics

1 answer:

DIA [1.3K]3 years ago

6 0

Answer:

B) –8c + 8b

Step-by-step explanation:

All you have to know is that double negatives result in positives. Use the Distributive Property.

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A store buys 7 sweaters for $42 and sells them for $182. How much profit does the store make per sweater?

defon

Answer:

$20 per sweater.

Step-by-step explanation:

It is given that,

A store buys 7 sweaters for $42 and sells them for $182.

We need to find how much profit the store make per sweater.

The amount the store bought the sweaters fr is calculated as follows :

$182- $42 = $140

Profit the store made per sweater is given by :

$\dfrac{140}{7}=20$

Hence, the store will make $20 per sweater.

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3 years ago

1. Let f(x, y) be a differentiable function in the variables x and y. Let r and θ the polar coordinates,and set g(r, θ) = f(r co

Olenka [21]

Answer:

$g_{r}(\sqrt{2},\frac{\pi}{4})=\frac{\sqrt{2}}{2}\\$

Step-by-step explanation:

First, notice that:

$g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}cos(\frac{\pi}{4}),\sqrt{2}sin(\frac{\pi}{4}))\\$

$g(\sqrt{2},\frac{\pi}{4})=f(\sqrt{2}(\frac{1}{\sqrt{2}}),\sqrt{2}(\frac{1}{\sqrt{2}}))\\$

$g(\sqrt{2},\frac{\pi}{4})=f(1,1)\\$

We proceed to use the chain rule to find $g_{r}(\sqrt{2},\frac{\pi}{4})$ using the fact that $X(r,\theta)=rcos(\theta)\ and\ Y(r,\theta)=rsin(\theta)$ to find their derivatives:

$g_{r}(r,\theta)=f_{r}(rcos(\theta),rsin(\theta))=f_{x}( rcos(\theta),rsin(\theta))\frac{\delta x}{\delta r}(r,\theta)+f_{y}(rcos(\theta),rsin(\theta))\frac{\delta y}{\delta r}(r,\theta)\\$