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:
I think the answer would be 22.15 but I'm not really sure.
Answer:
c. 50kg = 50,000g
Step-by-step explanation:
We have to solve these following rule of three to see which of the following is a correct conversion of 50kg.
a)
Each kg has 1000g
So
1kg - 1000g
50kg - xg
x = 50*1000
x = 50,000g
Conversion a) is wrong
b)
Each kg has 1000000mg
So
1kg - 1000000g
50kg - x mg
x = 50*1000000
x = 50,000,000 mg
Conversion b) is wrong
c)
In a), we have already converted 50kg to g. We have verified that 50kg = 50,000g. So c. is correct
d)
In b), we have already converrted 50kg to mg. We have verified that 50kg = 50,000,000g. So d. is wrong
Answer:
89,250 miles
Step-by-step explanation:
you divide 38,250 by 3 to get how many miles he drove a year, then multiply it by 7 for the seven years and you get 89,250 miles in 7 years.
The girth because it makes the whole tree bigger and the branches and everything would get bigger too
