The model below represents the equation 3x+2=2x-5,

Mathematics

1 answer:

Leno4ka [110]3 years ago

7 0

Step-by-step explanation:

Hey there!

The equation is;

$3x + 2 = 2x - 5$

Shifting "2x" to left side and "2" to right side.

$3x - 2x = - 5 - 2$

Simplify them to get answer.

$x = - 7$

Therefore the value of x is -7.

<u>Check</u><u>;</u>

3 × -7 + 2 = 2 × -7 -5

-19 = -19 ( True ).

So, your answer is option B.

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>

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Pat created a scatter plot and drew a line of best fit, as shown.

Hunter-Best [27]

<h3>Answer: Choice D</h3><h3>y = (-1/5)x + 7</h3>

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Work Shown:

We will only focus on the two points that are on the regression line.

Those two points are (10,5) and (15,4)

Let (x1,y1) = (10,5) and (x2,y2) = (15,4)

Find the slope of the line through (x1,y1) = (10,5) and (x2,y2) = (15,4)

m = (y2 - y1)/(x2 - x1)

m = (4 - 5)/(15 - 10)

m = -1/5

m = -0.2

Plug m = -0.2, and (x1,y1) = (10,5) into the point slope formula. Solve for y

y - y1 = m(x - x1)

y - 5 = -0.2(x - 10)

y - 5 = -0.2*x - 0.2*(-10) ... distribute

y - 5 = -0.2*x + 2

y - 5+5 = -0.2*x + 2 + 5 ... add 5 to both sides

y = -0.2*x + 7

y = (-1/5)*x + 7 .... convert -0.2 to -1/5

The equation y = (-1/5)x + 7 is in the form y = mx+b with m = -1/5 = -0.2 as the slope and b = 7 as the y intercept. The y intercept is where the graph crosses the vertical y axis. More specifically, the location of the y intercept in this case is at the point (0,7).

4 0

4 years ago

Please help me. This was my study page but this was hard.

iVinArrow [24]

Your answer is 3277 because a negative divided by a negitive makes it a positive.