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1 year ago

How many solutions does this have? 4x + 12 = -2x + 16

Mathematics

1 answer:

Novay_Z [31]1 year ago

6 0

The equation 4x + 12 = -2x + 16 is one solution.

<h3>What is equation?</h3>

A statement of equality between two expressions consisting of variables and/or numbers.

Given:

4x + 12 = -2x + 16

Now solving for x

4x + 2x = 16 - 12

6x = 4

x= 4/6

x=2/3

Hence, the equation 4x + 12 = -2x + 16 has one solution.

Learn more about equation here:

brainly.com/question/16255566

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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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Answer:

Step-by-step explanation:

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3 years ago

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Steps:
1) 4,000 * .045 = 180
2) 180 * 6 = 1,080
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3 years ago

4. Which of the following describes a proportional relationship?

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Answer:

G. Heather rented a hotel for $110 a night plus $18 a night for valet parking

Step-by-step explanation:

A proportional relationship is one that has a constant ratio between two variables

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The amount he pays for valet parking = $18

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Therefore, we have;

$\begin{array}{cc}x&y\\1&128\\2&256\\3&384\end{array}$

From which we get;

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