Translate to an algebraic expression.

Mathematics

2 answers:

Anarel [89]3 years ago

7 0

Answer is

<span>B) x - $16.50

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Andrej [43]3 years ago

7 0

Answer:

B) x - $16.50

Step-by-step explanation:

The problem is asking you to create an algebraic expression, so when you are talking about spending, paying or giving, that is usually a withdrawal from the main account, when you know that number you use the number, since we don´t know the actual amount we will use "x" to express that so we will withdraw from "X" the amount spent:

x-16.50

And that would be the expression of how much was left.

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How many solutions exist for the given equation?

katrin2010 [14]

$1(x + 12) = 4x - 1\\x+12=4x-1\\13=3x\\x=\frac{13}{3} \\x=4\frac{1}{3}$

This equation has only one solution

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P.S. Hello from Russia

7 0

3 years ago

Read 2 more answers

Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$