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3 years ago

Find the sum of 2 x2 + 3 x - 4, 8 - 3 x , and -5 x2 + 2.

Mathematics

1 answer:

trapecia [35]3 years ago

3 0

I'm just guessing but try -7

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Crystal bought new art supplies that were on sale for $25.45. If

Keith_Richards [23]

Answer:

The orginal price was $33.09.

Step-by-step explanation:

You take 30% and move the decimal two places to the left, which gives you .3

Then mutiply .3 to $25.45. This gives you $7.64.

Add $7.64 to discounted price ($25.45) and you get $33.09.

5 0

3 years ago

In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

4 0

4 years ago

What is the prime factorization for 945

Scilla [17]

Answer: 3•3•3•5•7

Step-by-step explanation:

Create a factor tree. See photo attached. (:

8 0

3 years ago

Read 2 more answers

The measure of an exterior angle of a triangle is equal to which of the following measures?

Korolek [52]

Measures of sum of the two opposite angles.

5 0

3 years ago

How do I explain and the answer to -6(b+2.4)

trasher [3.6K]

Answer:

-6b -14.40

Step-by-step explanation:

First you multiply -6 to b and 2.4

8 0

3 years ago