1) Graph by making a table. y=1/2x+2

Mathematics

1 answer:

nadya68 [22]2 years ago

3 0

Answer:

Below.

Step-by-step explanation:

You can use any 4 x values, so we could have:

- 2 0 2 4

Now find the corresponding y values by substitution in the equation:

For x = -2, y = 1/2 *-2 + 2 = 1.

For x = 0, y = 1/2 * 0 + 2 = 2.

For x = 2 , y = 1/2* 2 + 2 = 3.

For x = 4 , y = 1/2 * 4 + 2 = 4.

So the table is:

-2 0 2 4

1 2 3 4

You then plot the points (-2, 1), (0, 2), (2, 3) AND (4, 4) on the grid and draw a line through them The graph will be a straight line.

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2 years ago

Write the following number as ratios of integers

s2008m [1.1K]

Our goal here is to somehow "surgically remove" the repeating part of the number, so let's start by putting the original value in a variable and messing around with it a bit.

We'll let $x=7.\overline{6}$ . We want to cut the $0.\overline{6}$ bit off completely, so let's create the scalpel that'll let us do that. If $x=7.\overline{6}$ , then we can also say that $10x=76.\overline{6}$ . Maybe I was lying a bit: the $x$ is our real scalpel here, and $10x$ is where we'll be making the cut. Mathematically, a "cut" is almost always shorthand for subtraction, so let's see what our operation (cutting $x$ off of $10x$ ) leaves us with:

$10x-x=76.\overline{6}-7.\overline{6}\\9x=69$

The operation was a success! We can now simply divide either side by 9 to find $x = 69/9$ , which, when reduced by dividing the numerator and denominator by 3, gives us $x=23/3$