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vlada-n [284]
3 years ago
11

Which value of m makes the statement true? 92-2m ≤7+3m A) 12 B) 17 C) 7 D) 9

Mathematics
2 answers:
Mama L [17]3 years ago
5 0

The answer is 17 or B

vlabodo [156]3 years ago
3 0

Answer:

\boxed{\bold{17}}

Step By Step Explanation:

Subtract 92 From Both Sides

\bold{92-2m-92\le \:7+3m-92}

Simplify

\bold{-2m\le \:3m-85}

Subtract 3m From Both Sides

\bold{-2m-3m\le \:3m-85-3m}

Simplify

\bold{-5m\le \:-85}

Multiply Both Sides By -1 (Reverse Inequality)

\bold{\left(-5m\right)\left(-1\right)\ge \left(-85\right)\left(-1\right)}

Simplify

\bold{5m\ge \:85}

Divide Both Sides By 5

\bold{\frac{5m}{5}\ge \frac{85}{5}}

Simplify

\bold{m\ge \:17}

- Mordancy

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Hello!

To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.

Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.

1. Find the slope

The slope formula is: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}. To use this formula, you need two points and also, you need to assign these points to x_{1}, x_{2}, y_{1}, and y_{2}.

In this case, x_{1} and x_{1} is assigned to the ordered pair (1,3), while x_{2} and y_{2} is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.

\frac{7-3}{3-1} =\frac{4}{2} = 2

The slope of these two points is 2.

2. Find the y-intercept

To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.

y = 2x + b (substitute)

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The y-intercept of the two points is (0, 1).

With the necessary values to complete the equation, we can write the final equation.

The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.

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