Using the double number line shown, for the equation 5x+4=14, what is the value of x?

Mathematics

1 answer:

Alex777 [14]3 years ago

3 0

Correct option is:

B. 2

<h2>Explanation:</h2>

From the double number line shown we can set:

$(1) \ 0x=0 \\ \\ (2) \ x=? \\ \\ (3) \ 5x=10 \\ \\ (4) \ 5x+4=14$

So we can solve this problem by using either equation (3) or (4). So, choosing equation (3):

$5x=10 \\ \\ \\ Divide \ both \ sides \ by \ 5: \\ \\ x=\frac{10}{5} \\ \\ \boxed{x=2}$

<h2>Learn more:</h2>

Solving equations: brainly.com/question/7747308

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How do u do this.I need major help on it

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Look for what 'y' is when t = 1 and t = 2. Go to the graph, look at 1 on the bottom axis and go up till you find the point, then go all the way to the left to see what the y-value is, in this case it should be 1200. If you do the same with t = 2, you will get 2400. So our two ordered pairs are:

(1, 1200), (2, 2400)

We can find the slope of these two points by plugging them into the slope formula:

$\sf m=\dfrac{y_2-y_1}{x_2-x_1}$

For points in the form of (x1, y1), (x2, y2). Plug in what we know:

$\sf m=\dfrac{2400-1200}{2-1}$

Subtract:

$\sf m=\dfrac{1200}{1}$

Divide:

$\sf m=1200$

This is the slope, so we can write the equation:

$\boxed{\sf y=1200t}$