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3 years ago

Subtract. Express your answer in lowest terms. 8 1/2 - 2 1/6

Mathematics

1 answer:

Fiesta28 [93]3 years ago

5 0

Answer:

$6\frac{1}{3} or \frac{19}{3}$

Step-by-step explanation:

Rewriting our equation with parts separated

=8+1/2−2−1/6

Solving the whole number parts

8−2=6

Solving the fraction parts

1/2−1/6=?

Find the LCD of 1/2 and 1/6 and rewrite to solve with the equivalent fractions.

LCD = 6

3/6−1/6=2/6

Reducing the fraction part, 2/6,

2/6=1/3

Combining the whole and fraction parts

6+1/3=6 1/3

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3 years ago

Write an equation in slope intercept form of a line that passes through (-2, 1) and (4,2).

fenix001 [56]

Answer:

$\displaystyle y = \frac{1}{6}x + 1\frac{1}{3}$

Step-by-step explanation:

First, find the <em>rate of change</em> [<em>slope</em>]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-1 + 2}{2 + 4} = \frac{1}{6}$

Now plug these coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:

2 = ⅙[4] + b

⅔

$\displaystyle 1\frac{1}{3} = b \\ \\ y = \frac{1}{6}x + 1\frac{1}{3}$

_______________________________________________

1 = ⅙[−2] + b

−⅓

$\displaystyle 1\frac{1}{3} = b \\ \\ y = \frac{1}{6}x + 1\frac{1}{3}$

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

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3 years ago

For the following exercises, determine whether each of the following relations is a function.

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Answer:

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Step-by-step explanation:

The given relation is {(2,1),(3,2),(-1,1),(0,-2)}.

It is required to determine the relation is a function.

Step 1 of 1

The given relation is {(2,1),(3,2),(-1,1),(0,-2)}.

This relation shows that the domain of the relation {2,3,-1,0} is paired with one element of the range {1,2,1,-2}.

Hence, the relation is a function.

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2 years ago