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3 years ago

Place the following steps in order to describe how to solve the following equation: 2(2x+3)-2=5

Mathematics

1 answer:

ivolga24 [154]3 years ago

5 0

Answer:

0.25

Step-by-step explanation:

First, you distribute the equation.

2(2x+3)-2=5

4x+6-2=5

Then, you combine like terms.

4x+6-2=5

4x+4=5

Next, you subtract 4 from each side.

4x+4=5

4x+4-4=4x

5-4=1

4x=1

Finally, you divide each side by 4.

4x/4

1/4

(4x/4 you'd end up with x)

Answer: x=1/4

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when three different numbers are chosen from the set {-3,-2,-1,4,5) and multiplies the greatest possible product is

larisa86 [58]

1. We cannot pick both of the positive numbers 4 and 5 because the third one would be negative, and the overall product negative.

2. So we pick 5, the largest of (4, 5) and 2 negative numbers

3. Since the multiplication of the 2 negative numbers is positive, we pick the ones with larger absolute value, so -3 and -2

Answer: 5*(-3)*(-2)=5*6=30

5 0

3 years ago

Graph the line with a slope of 2/5 that goes through (3,1)

Triss [41]

Answer:

$y = \dfrac{2x}{5} - \dfrac{1}{5}$

Step-by-step explanation:

Given:

$\bullet \ \ \text{Slope of line:}\ \dfrac{2}{5} \\\\ \bullet \ \text{Passes through:} \ (3, 1)$

To determine the equation of the line, we will use point slope form.

<u>Formula of point slope form:</u>

→ y - y₁ = m(x - x₁)

Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.

Substitute the coordinates and the slope:

$:\implies y - 1 = \dfrac{2}{5} (x - 3)$

Simplify the R.H.S:

$:\implies y - 1 = \dfrac{2x}{5} - \dfrac{6}{5}$

Add 1 both sides:

$:\implies y - 1 + 1 = \dfrac{2x}{5} - \dfrac{6}{5} + 1$

Simplify the equation:

$:\implies y = \dfrac{2x}{5} - \dfrac{6}{5} + \dfrac{5}{5}$

$:\implies \boxed{y = \dfrac{2x}{5} - \dfrac{1}{5}}$

<u>Graphing the line on a coordinate plane:</u>

In this case, we are already given a point (3, 1). We can simply plot the y-intercept $[\bold{\frac{-1}{5} }]$ on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.