Show me how to graph f(x)=3/2 x + 2

Mathematics

1 answer:

Alexxx [7]3 years ago

3 0

y = (3x)/2 + 2

Slope = 3/2

y-intercept = 2

The first point is y-intercept when x = 0 = (0,2). Now according to our slope we move 3 up (Why up? Because it's positive) and 2 right (Why right? Because it's positive).

When you move 3 up from (0,2), you get (0,5) and move 2 right which is (2,5).

Remember: slope = change in y / change in x

Points: (0,2) and (2,5)

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For a party, three solid cheese balls with diameters of 2 inches, 4 inches, and 6 inches, respectively, were combined to form a

schepotkina [342]

Answer:

The radius of the new cheese ball formed is approximately 6.603 inches.

Step-by-step explanation:

We are given the following in the question:

Radius of three cheese ball = 2 inches, 4 inches, and 6 inches

They were combined to form a new cheese ball.

Thus, we can write

Volume of three cheese balls = Volume of new cheese ball.

Let r be the radius of new cheese ball.

Volume of sphere =

$\displaystyle\frac{4}{3}\pi r^3$

Putting values, we get:

$\displaystyle\frac{4}{3}\pi r_1^3 + \displaystyle\frac{4}{3}\pi r_2^3 +\displaystyle\frac{4}{3}\pi r_3^3 =\displaystyle\frac{4}{3}\pi r^3\\\\\frac{4}{3}\pi(2^3 + 4^3 + 6^3) = \displaystyle\frac{4}{3}\pi r^3\\\\2^3 + 4^3 + 6^3 = r^3\\\Rightarrow 288 = r^3\\\Rightarrow r = (288)^{\frac{1}{3}}\\\Rightarrow r \approx 6.603$