Answer:
Step-by-step explanation:
<h3>#6</h3>
<u>Given equation:</u>
- 4/(x - 3) + 2/(x - 2) = 2
<u>Multiply all terms by (x - 3)(x - 2):</u>
- 4(x - 2) + 2(x - 3) = 2(x - 3)(x - 2)
- 2(x - 2) + (x - 3) = (x - 3)(x - 2)
- 2x - 4 + x - 3 = x² - 5x + 6
- x² - 5x - 3x + 6 + 7 = 0
- x² - 8x + 13 = 0
- x = (8 ± √(8² - 4*13))/2 = (8 ± √12)/2 = (8 ± 2√3)/2 = 4 ± √3
<u>Compare this to the given form to get:</u>
Correct choice is A
Answer:
3
Step-by-step explanation:
g(-1) means what is g(x) when x=-1.
So find -1 under the column labeled x and then scroll directly to the right of that and you should see what g(-1). It is 3
Here are my examples:
g(-8)=6
g(-5)=-2
g(-1)=3
g(0)=-5
Answer:
The y-intercept of this line is 1.
Step-by-step explanation:
We are looking for the y-value when x=0. And that value is 1
Answer:
18 pints
Step-by-step explanation:
As we can see, three pint of yellow paint was mixed with four pint of red paint. Let x represent the number of yellow paint and let y represent the number of red paint. Therefore, the ratio of the two paints is:
x/y = 3/4
x = (3/4)y
To calculate the number of red paints (x) that is needed to be mixed with 24 pints of yellow paint, we use the equation and substitute y as 24. Hence:
x = (3/4)y
x = (3/4) * 24
x = 18 pints
Answer:
m = -3
Step-by-step explanation:
First, find two clear points:
(1, -2) (0, 1)
Then, use the slope formula:
m = <u>y2 - y1</u>
x2 - x1
m = <u>1 - (-2)</u>
0 - 1
= <u>3</u> = -3
-1
m = -3
This means that the rise-over-run is -3 over 1, or 3 over -1.
Which means three down and 1 to the right, or 3 up and 1 to the left.
Slope is the steepness of the line.
