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3 years ago

Simply the expression 8x^2-3x+6x^2+5x-9

Mathematics

2 answers:

alisha [4.7K]3 years ago

5 0

Answer:

your answer should be 14x^2+2x−9

cestrela7 [59]3 years ago

3 0

Answer:

14x²+2x-9

Step-by-step explanation:

Given expression is 8x²-3x+6x²+5x-9.

Simplify as,

8x²+6x²-3x+5x-9

Add coefficients of x²,x

(8+6)x²+(-3+5)x-9

14x²+2x-9 which is the answer.

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Solve the equation using the substitution u = y/x. When u = y/x is substituted into the equation, the equation becomes separable

bekas [8.4K]

Answer:

$\frac{u^2+3}{-u^3+u^2-2u}u'=\frac{1}{x}$

Step-by-step explanation:

First step: I'm going to solve our substitution for y:

$u=\frac{y}{x}$

Multiply both sides by x:

$ux=y$

Second step: Differentiate the substitution:

$u'x+u=y'$

Third step: Plug in first and second step into the given equation dy/dx=f(x,y):

$u'x+u=\frac{x(ux)+(ux)^2}{3x^2+(ux)^2}$

$u'x+u=\frac{ux^2+u^2x^2}{3x^2+u^2x^2}$

We are going to simplify what we can.

Every term in the fraction on the right hand side of equation contains a factor of $x^2$ so I'm going to divide top and bottom by $x^2$ :

$u'x+u=\frac{u+u^2}{3+u^2}$

Now I have no idea what your left hand side is suppose to look like but I'm going to keep going here:

Subtract u on both sides:

$u'x=\frac{u+u^2}{3+u^2}-u$

Find a common denominator: Multiply second term on right hand side by $\frac{3+u^2}{3+u^2}$ :

$u'x=\frac{u+u^2}{3+u^2}-\frac{u(3+u^2)}{3+u^2}$

Combine fractions while also distributing u to terms in ( ):

$u'x=\frac{u+u^2-3u-u^3}{3+u^2}$

$u'x=\frac{-u^3+u^2-2u}{3+u^2}$

Third step: I'm going to separate the variables:

Multiply both sides by the reciprocal of the right hand side fraction.

$u' \frac{3+u^2}{-u^3+u^2-2u}x=1$

Divide both sides by x:

$\frac{3+u^2}{-u^3+u^2-2u}u'=\frac{1}{x}$

Reorder the top a little of left hand side using the commutative property for addition:

$\frac{u^2+3}{-u^3+u^2-2u}u'=\frac{1}{x}$

The expression on left hand side almost matches your expression but not quite so something seems a little off.

5 0

3 years ago

Determine the domain

weeeeeb [17]

Answer:

(-8,8)

Step-by-step explanation:

3 0

3 years ago

One line divides a plane into two regions. Two lines can divide a plane into at most four regions. What is the maximum number of

melisa1 [442]

The maximum number of regions possible using eight lines will be 64 regions.

<h3>How to get the value?</h3>

From the information given, one line divides a plane into two regions, two lines can divide a plane into at most four regions. The relationship her is that the square of the number is given.

Therefore, the number of regions will be:

= 8²

= 8 × 8

= 64 regions

Learn more about division on:

brainly.com/question/1622425

#SPJ1

4 0

2 years ago

A radio station will announce the winner of a contest when 3,200 callers have phoned the station. At 3:00 p.m. 400 callers were

arsen [322]

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5 0

3 years ago

Susie and Katie received candies on Valentine's Day. Susie received four less candies than Katie. Together, they received 16 tot

andrew11 [14]

Answer: Katie-10 Susie-6

Step-by-step explanation:

Total 16 candies

Susie=k-4

Katie- 10 candies

susie- 6 candies

10+6=16

10-6=4

8 0

3 years ago