Round 473,615 to the nearest hundred

(3x^3+4x^2)+(3x^3-4x^2-9x)

zysi [14]

Answer:3x • (2x2 - 3)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 3 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

((3•(x3))+(4•(x2)))+(((3•(x3))-22x2)-9x)

STEP

2

:

Equation at the end of step

2

:

((3•(x3))+(4•(x2)))+((3x3-22x2)-9x)

STEP

3

:

Equation at the end of step

3

:

((3 • (x3)) + 22x2) + (3x3 - 4x2 - 9x)

STEP

4

:

Equation at the end of step

4

:

(3x3 + 22x2) + (3x3 - 4x2 - 9x)

STEP

5

:

STEP

6

:

Pulling out like terms

6.1 Pull out like factors :

6x3 - 9x = 3x • (2x2 - 3)

Trying to factor as a Difference of Squares:

6.2 Factoring: 2x2 - 3

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Final result :

3x • (2x2 - 3)

5 0

3 years ago

What is the slope of a line parallel to the line -10x-5y=25?

irinina [24]

Answer:

The slope for the parallel line to the equation -10x-5y=25 is -2

Step-by-step explanation:

First we need to convert the equation to slope-intercept form to determine the slope.

-10x-5y=25

+10x _10x

-5y=25+10x

/-5 /-5

y= -5 -2x

Remember, -5 is the y-intercept and -2 is the slope for this equation. A parallel line is a line that never intersects with the first line. If the two equations have different slopes, they will eventually intersect. Because of this, our parallel line needs to have the same slope as the initial equation: -10x-5y=25

Since we've determined that the slope for that equation is -2, we can infer that this will be the slope for our parallel line.

8 0

3 years ago

I NEED HELP PLSSSSSSSSSSSSSSSSS

Ann [662]

Answer:

#1 and #3

Step-by-step explanation:

4 0

3 years ago

Explain how you know whether to add or subtract when you use the Distributive property to multiply

nirvana33 [79]

The distributive property of multiplication over addition can be used when you multiply a number by a sum. The distributive property lets you multiply a sum by multiplying each addend separately and then add the products:

$a\cdot (b+c)=a\cdot b+a\cdot c.$

The distributive property of multiplication over subtraction can be used when you multiply a number by a difference. The property states that the product of a number and the difference of two other numbers is equal to the difference of the products:

$a\cdot (b-c)=a\cdot b-a\cdot c.$

Therefore, you can see what sign is in the brackets, if sign is "+", then you have to add, if sign is "-", then you have to subtract.

7 0

3 years ago

Read 2 more answers

The owner of a small firm has just purchased a personal computer, which she expects will serve her for the next two years. The o

tatiyna

Answer: 26 dollars

Step-by-step explanation:

The owner needs to consider that:

To measure the risk she can multiply the probability of an event to happen (P)* the impact (I) (in this case the impact is the cost).

All these eventes can be considered as independent between each other (no correlation), so you can add their P*I.

In this case:

P1*I1= 1%*550=5.5

P2*I2=6%*150=9

P3*I3=15%*100=15

So, the expected value of what she may spend for repairng is = P1*I1+P2*I2+P3*I3= 5.5+9+15= 29.5

She shoould not spend more than 29.5 dollars, otherwise, she will spend more in the surge supresor than in expected reapring value

4 0

4 years ago

Read 2 more answers