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3 years ago

Write a mathmatical proof showing the algebraic equivalency of the following equation: (2x)(3y)(4z) = 24xyz

Mathematics

2 answers:

Blababa [14]3 years ago

8 0

Answer:

We have to evaluate

→ (2x)×(3y)×(4z)

Using Commutativity property of numbers,which states ----a b=ba

→ (x×2×3×y)×(4z)

→x×(6y)×(4z)

→x ×(y×6×4×z)----Again used Commutative property

→x × (y×24×z)

Using associativity property of numbers,which states

---a×(b×c)=(a×b)×c=(a×c)×b

→x ×(24 yz)--------(1)

Using commutative Property between x and 24 ,that is

(x)×(24)=24 x

Expression 1, can be written as

→24 xyz

Hence Proved

RSB [31]3 years ago

4 0

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Which are counterexamples?<br> Look at the picture below. <br> Choose all that apply.

Flauer [41]

Answer:

$x^4/(2x^6)$

Explanation:

In the first example the division results in a radical, not a polynomial.

The remaining examples are not counter-examples (they do result in a polynomial)

8 0

2 years ago

QUESTION 3 of 10: Stock returns vary from year to year. The more variance a stock displays the greater the potential risk. These

Dahasolnce [82]

Answer:

The variance of these investment returns is 74

Step-by-step explanation:

Given:

Series = 10, 30, 15, 5, 20

To Find:

variance of a series = ?

Solution:

The variance of the series = $Var\left(X\right)=\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n}$

$\bar{x} = \frac{10+30 +5+15 + 20}{5}$

$\bar{x} = \frac{80}{5}$

$\bar{x} =16$

Now $(x_i -\bar{x})^2 =$ $(10 -16)^2 + (30 -16)^2 + (5 -16)^2 +(15 -16)^2 +(20 -16)^2$

= $(-6)^2 + (14)^2 + (-11)^2 + (-1)^2+ (-4)^2$

= 36 + 196 +121 + 1+ 16

= 370

Now

$Var\left(X\right)=\frac{370}{5}$ = 74

6 0

2 years ago

Read 2 more answers

What is the solution to this system of equations? {x+y=6x=y+2

Contact [7]

Answer:

5x = (-2)

Step-by-step explanation:

x + y - 6x = y + 2

x - 6x = 2

-5x = 2

5x = (-2)

3 0

3 years ago

William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500

Artyom0805 [142]

Let's assume that a month has four weeks.

If William made 400 miles by travelling only on Saturdays and Sundays and there were 4 weekends during the month, then he travels 400 / 4 = 100 miles during a weekend, which is 100 / 2 = 50 miles a day.

If Jason travels every weekday during the month and he does 500 miles, then he travels 500 / 20 = 25 miles a day.

It means that William travels more miles per day.

5 0

3 years ago

Choose Yes or No to tell whether the Addition Property of Inequality can be used to solve each statement. w – 4 > –10 12 ≥ 20

Alex

Answer:

Step-by-step explanation:

The inequality will not be the same if the same amount is added both sides.

The addition property states that if the same quantity is added to both sides, then the inequality still remains true. Take for example:

let x, y, and z be real numbers. It follows that:

if x ≥ y, then x + z ≥ y + z

This holds true for whatever value of z

If x ≤ y, then x + z ≤ y + z

The inequality remains true.

4 0

3 years ago