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3 years ago

-3x+24y-36 factor the expression

1 answer:

5 0

-3x+24y-36 . You notice that the GCF =3 (that means the number that divides all factors)
3( - x + 8y -12) or you can put the "-" sign outside the parenthesis, but mind you , you will have to change all signs in the parenthesis:

-3( x - 8y +12)

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a rectangle is three times as long as it is wide, its perimeter is 36 centimeters. find the length of each side?

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3 years ago

The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:

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Answer:

The second option

Step-by-step explanation:

The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles

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3 years ago

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.

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3 years ago

GIVING BRAINEST IF RIGHT!!<br><br> Factor x^4 - 12x squared + 36

forsale [732]

Answer:

(x^2-6)^2

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Which scales are equivalent to 1 inch to 1 foot? Select all that apply. Group of answer choices 1 to 12 (1/12) to 1 100 to 0.12

Bad White [126]

Answer:

1 to 12
5 to 60
9 to 108

Step-by-step explanation:

There are 12 inches in one foot so the equivalent ones are:

1 to 12

This shows that there are 12 inches in one foot so is equivalent.

5 to 60

5/60 = 1/12

This is equivalent because it shows that 12 inches are required to make a foot.

9 to 108

9/108 = 1/12

This is also equivalent for the same reasons as above.

4 0

3 years ago