3 years ago

Unit 7 polynomials and factoring homework 7 factoring trinomials answer key

Mathematics

1 answer:

ra1l [238]3 years ago

7 0

What is this supposed to be ?

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Determine whether or not f is a gradient vector field. if it is, find a function φ such that f = ∇φ. (if the vector field is not

MArishka [77]

$\mathbf f(x,y)=(2x-6y)\,\mathbf i+(-6x+10y-7)\,\mathbf j$

For $\mathbf f$ to be the gradient of some scalar function $\varphi(x,y)$ , we need to find $\varphi$ that satisfies

$\dfrac{\partial \varphi}{\partial x}=2x-6y$
$\dfrac{\partial \varphi}{\partial y}=-6x+10y-7$

From the first PDE, it follows that (upon integrating with respect to $x$ )

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

Differentiating with respect to $y$ yields

$\dfrac{\partial\varphi}{\partial y}=-6x+10y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=10y-7\implies g(y)=5y^2-7y+C$

$\implies\varphi(x,y)=x^2-6xy+5y^2-7y+C$

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4 years ago

there are 54 new houses built in a neighborhood. Last month, 1/3 of them were sold. This month, 5/6 of the remaining houses were

SpyIntel [72]

Answer:

Total houses = 54

House sold last month = 1/3 * 54 = 18

Remaining houses = 54-18 = 36

Houses sold this month = 5/6* 36 = 30 houses

House left to be sold = 36 - 30 = 6 houses

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3 years ago

5n + 3n<br> simplify each expression

Setler79 [48]

Answer: 8n

Step-by-step explanation: 5n + 3n

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3 years ago

One number is two less than three times another. if their sum is decreased by one, the result is nine. find the numbers.

lianna [129]

What are the options?

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4 years ago

3- (2x - 5) < -4(x + 2)

Whitepunk [10]

Answer: x< -8

Step-by-step explanation:

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3 years ago