The equation 1- 4/3 x = 1/2 (-x+7) has what type of solution set

Mathematics

1 answer:

Yuki888 [10]2 years ago

5 0

Answer:

x = -15/4

Step-by-step explanation:

1 - 4/3x = 1/2(-x + 7)

~Simplify

1 - 4/3x = -1/2x + 7/2

~Subtract 1 from both sides

-4/3x = -1/2x + 5/2

~Add 1/2x to both sides

-2/3x = 5/2

~Multiply -3/2 to both sids

x = -15/4

Best of Luck~

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What is the equation of the line of the best fit for the following data? Round to the slope and y-intercept of the line to three

BigorU [14]

Answer:

D. $y=-0.927x+13.634$

Step-by-step explanation:

We graph the points on the graph. The graph is attached.

Let us take two points (1, 14) and (15, 1), and calculate the slope $m$ between them <em>(we choose these points because the line passing through them will be the best fit for all points) </em>

$m=\frac{14-1}{1-15} =\frac{13}{-14} =-0.9286$

Thus we have the equation

$y=-0.9286x+b$

Let us now calculate $b$ from the point $(1,14)$

$14=-0.9286(1)+b$

$b=14.9286$

So the equation we get is

$y=-0.9286x+14.9286$

Let us now turn to the choices given and see which choice is closest to our equation: we see that choice D. $y=-0.927x+13.634$ is the closest one, so we pick it.