Factor completely 20x^3+12x^2+5x+3

Answers

Answer 1

Answer: I did it with an online calculator and it said x^2(25x+12). Hope that helps.

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2/3 of what number is 16?

Answers

Let the unknown number equal x.
(2/3)x = 16
You can get rid of the fractions by multiplying both sides by 3.
3(2/3)x = 16(3)
2x = 48
Then divide both sides by 2.
2/2 = 1 48/2 = 24
x = 24

2/3 of 24 is 16

You can double check by multiplying 2/3 times 24. This is 16. So we are correct.

The solution is: 2/3 of 24 is 16.

Here, we have,

Let the unknown number equal x.

(2/3)x = 16

You can get rid of the fractions by multiplying both sides by 3.

3(2/3)x = 16(3)

2x = 48

Then divide both sides by 2.

2/2 = 1

48/2 = 24

so, we get,

x = 24

the answer we have,

2/3 of 24 is 16.

now,

we can double check by multiplying 2/3 times 24.

This is 16. So we are correct.

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Write the equation of each line in the indicated form 1. Standard form. Slope=8/3;(-2,0)

2. Point-slope form (-5,6) and(3,-10)

Answers

1. standard form is y=mx+b so I will use point slope to start
y-0=8/3(x+2), y=(8/3)x+(16/3)
2.Must solve for slope first, (y2-y1)/(x2-x1), -10--5/3-6= -5/-3= 5/3
so slope is 5/3, point slope is y-y1=m(x-x1), y-6=5/3(x+5)

A line passes through the point (-3, -3) and has a slope of 1/2 What is the equation of the line? Solve the system of equations. 2x + 3y = 6 x + y = 4

Answers

y-y1=m(x-x1)
(x1,y1) is a given point
m=slope
y-(-3)=1/2(x-(-3))
y+3=1/2(x+3) is an equation

2x+3y=6
x+y=4
multiply second equation by -2 and add to first

2x+3y=6
-2x-2y=-8 +
0x+1y=-2

y=-2
sub back

x+y=4
x-2=4
add 2
x=6

x=6
y=-2
(6,-2)

4a ^ 2 - 20ab + 25b ^ 2