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3 years ago

The greatest common factor of any two even numbers is always even. True or false and why?

1 answer:

3 0

Yes. Two even numbers are each divisible by 2. The GCF must therefore always have two as one of its factors; this makes it even.

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A bouquet has 6 roses and 21 other types of flowers. What is the ratio of roses to other flowers?

Andrej [43]

Answer:

6:21

Step-by-step explanation:

because there is 6 roses and 21 other types 6/21 = 6:21

7 0

9 months ago

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Find an equation of the plane. the plane through the point (3, −8, −4) and parallel to the plane 2x − y − z

Marina86 [1]

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3 years ago

Please help: linear algebra problem. (Linear combinations)

DochEvi [55]

Answer:

$\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]$

This tells us that:

$A=\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right]$

$b=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]$

Step-by-step explanation:

So we are saying we have scalars, c and d, such that:

$c\left[\begin{array}{ccc}5\\5\\ 3\end{array}\right]+d\left[\begin{array}{ccc}7\\-8\\-9\end{array}\right]=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]$ .

So we want to find a way to express this as:

Ax=b where x is the scalar vector, $\left[\begin{array}{ccc}c\\d\end{array}\right]$ .

So we can write this as:

$\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right]$

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2 years ago

Interest rate 6% is:

Kryger [21]

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2 years ago

Three consecutive integers whose sum is -147

suter [353]

Step-by-step explanation:

Let the first integer be x

2nd integer = x + 1

3rd integer = x + 2

x + x + 1 + x + 2 = -147

3x + 3 = -147

3x = -147 - 3

3x = -150

x = -150 ÷ 3

x = -50

The three consecutive integers are

-50, -49, -48

5 0

3 years ago