Let's take the first 2 x and y values and use them. First, you need to fill in your formula: y2-y1/x2-x1. It should look like this: 5-2/4-2. Then solve and you should get 3/2. You can't simplify it. So, this is your slope.
Next, you need to put this is into another formula. The formula is y-y1=m(x-x1). Take the first coordinate pair and plug it in for x1 and y1. Plug in your slope for m. When it's filled in, you should have y-2+3/2(x-1). It's hard to explain how to solve it so i'll just write it out.
y-2=3/2(x-2)
y-2=3/2x-3
y=3/2x-1
So, we have our equation in slope intercept form so that we have our slope and our y-intercept.
Y-intercept: -1
Slope: 3/2
Please put this as brainliest it took awhile and I hope this helped :) reply with questions if you still need help or have questions about the steps
Answer:
31/3 or 31 over 3
Step-by-step explanation:
If you do the whole number (10) times the denominator (bottom number of the fraction,in this case 3) the add the numerator (top number of the fraction,in this case 1) you will get your improper fraction.
The first step is to determine the zeros of p(x).
From the Remainder Theorem,
p(a) = 0 => (x-a) is a factor of p(x), and x=a is a zero of p(x).
Try x=3:
p(3) = 3^3 - 3*3^2 - 16*3 + 48 = 27 - 27 - 48 + 48 = 0
Therefore x=3 is a zero, and (x-3) is a factor of p(x).
Perform long division.
x² - 16
-------------------------------------
x-3 | x³ - 3x² - 16x + 48
x³ - 3x²
-----------------------------------
- 16x + 48
- 16x + 48
Note that x² - 6 = (x+4)(x-4).
Therefore the complete factorization of p(x) is
p(x) = (x-3)(x+4)(x-4)
To determine when p(x) is negative, we shall test between the zeros of p(x)
x p(x) Sign
---- --------- ---------
-4 0
0 48 +
3 0
3.5 -1.875 -
4 0
p(x) is negative in the interval x = (3, 4).
Answer
The time interval is Jan. 1, 2014 to Jan. 1, 2015.
1.
The ordered pairs (-2,3) and (5,1) make the inequality true.
2.
The simplified form of the expression is 3y-30.
If you add the two terms on the right, you will get 5^14. 14 is your answer.
