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2 years ago

What is the gradient of a line with an equation of 3x-2y-6=0

Mathematics

1 answer:

Genrish500 [490]2 years ago

6 0

Answer:

Slope m = 3/2

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

m - slope
b - y-intercept

Step-by-step explanation:

Step 1: Define Equation

3x - 2y - 6 = 0

Step 2: Rewrite

Find slope-intercept form

Subtract 3x on both sides: -2y - 6 = -3x
Add 6 on both sides: -2y = -3x + 6
Divide -2 on both sides: y = 3/2x - 3

Step 3: Break Function

Identify Parts.

Slope m = 3/2

y-intercept b = -3

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The 18 faculty members in a college math department range in age from 32 to 68. A stem plot follows: The first and third quartil

valentina_108 [34]

Answer:

$Q_{1}=39, \:and\: Q_{3}=58$

Step-by-step explanation:

1) This Stem and Leaf plot works like a Histogram. Completing the question, check below the Stem plot. Look the data out of the Stem plot and within (in the graph below)

32, 34 , 38 , 39 , 39 , 40 , 43 , 45 , 46 , 49 , 53 , 54 , 57 , 58 , 59 , 59 , 63 , 68

2) Notice how the first digit is on the Stem column (check below)

3) To find the first and Third Quartiles

Let's use the formulas to find the position, then the value. As it follows:

$Q_3=\frac{3}{4}(n+1) \Rightarrow Q_3=\frac{3}{4}(18+1) Q_3=14.25 \approx14th =58$

$Q_1=\frac{(n+1)}{4} \Rightarrow Q_1=4.75 th \approx Q_1 =5th =39$

4 0

3 years ago

2x + 5 = 10

hammer [34]

There are many ways you can start off by solving an equation. In this case, the first operation used in solving this equation would be subtraction. You would have to subtract 5 from each side.

3 0

2 years ago

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Feliz [49]

Answer:

#1 is 3/6 or 1/2

#3 is 1/6

#5 is 4/6 or 2/3

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3 years ago

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