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3 years ago

Joe was given $20 for his birthday.He then saved $10 per week from his allowance.Write a function to represent this situation

Mathematics

1 answer:

Inga [223]3 years ago

7 0

Answer:

20 + 10w = total cash saved

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Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is

kodGreya [7K]

We're looking for a scalar function $f(x,y)$ such that $\nabla f(x,y)=\vec F(x,y)$ . That is,

$\dfrac{\partial f}{\partial x}=2x-6y$

$\dfrac{\partial f}{\partial y}=-6x+6y-7$

Integrate the first equation with respect to $x$ :

$f(x,y)=x^2-6xy+g(y)$

Differentiate with respect to $y$ :

$-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7$

Integrate with respect to $y$ :

$g(y)=3y^2-7y+C$

So $\vec F$ is indeed conservative with the scalar potential function

$f(x,y)=x^2-6xy+3y^2-7y+C$

where $C$ is an arbitrary constant.

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3 years ago

Jerome bought 2 adult tickets and 7 student tickets for a play.How much did he spend?Show any equations used.Ticket pricesStuden

Stels [109]

From the information given,

Students ticket = $4

Adult ticket = $6

Let student ticket be x, and adult ticket be y.

This means;

$\begin{gathered} Cost=2y+7x \\ C=2(6)+7(4) \\ C=12+28 \\ C=40 \end{gathered}$

ANSWER:

The calculations show that Jerome spent a total of $40

3 0

1 year ago

The price of one share of a stock fell $12.50 each day for 8 days. Which expression represents this situation?

lys-0071 [83]

12.50 x 8 = 100 This is the answer

6 0

3 years ago

Read 2 more answers

John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun

Monica [59]

The system of inequalities is: $x\geq 3$ and $12x+7y\leq 63$

<em><u>Explanation</u></em>

Let $x$ be the amount of live bait and $y$ be the amount of natural bait.

As John would like to get at least 3 pounds of live bait, so the first inequality will be: $x\geq 3$

Given that, price of live bait is $12 per pound and natural bait is $7 per pound. Also, he only has a budget of $63. That means, he can spend maximum $63

So, the cost for buying $x$ pound of live bait $=\$12x$ and the cost for buying $y$ pound of natural bait $=\$7y$

Thus, the second inequality will be: $12x+7y\leq 63$

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3 years ago

Helppppp with 4A and 4B and 5 10 points!!!!!!

Arisa [49]

4a is humpback whales, 4b is I DON'T KNOW,

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3 years ago