Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
Answer:
Correct statements:
Step-by-step explanation:
A line that rises from left to right has a positive slope.
A line that falls from right to left has a negative slope.
A horizontal line has no slope. (slope of 0)
So,
I'm assuming you want me to make a formula for figuring your points after any given month assuming that you use the site at least once a month and you don't spend your points.
After one month, you will have your base 100 points plus an additional 10 points.
100 + 10 = 110
After two months, you will have gained an additional 10.
110 + 10 = 120
We can put this into a function, where P is your points, and m is the number of months you use the site.
P(x) = 100 + 10m
So after 500 months, you will have:
P(x) = 100 + 10(500) = 5100 points!
This is identical with:
y = 100 + 10m
and
y = 10m + 100
So this can be graphed as a linear equation/function with a y-intercept of 100 and a slope of 10/1.
Answer:
4Ф64÷6→β44
Step-by-step explanation:
Are you asking to find the perimeter of the polygons?