Answer:
x=10
Step-by-step explanation:
multiply 5 on both sides to cancel out the 5 and your left with x=10
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:
140 + 96 m
Step-by-step explanation:
There are 4 weeks in 1 month.
Therefore:
Jonny has $50 in a savings account. Each week, he deposits $13 in the account.
$50 + $13 × 4m
The algebraic expression is given as:
50 + 52m
Jonny's brother has $90 in a saving account.
Each week, he deposits $11 in the account.
The algebraic expression is given as:
$90 + $11 × 4m
90 + 44m
An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:
Amount Jonny has + Amount his brother has
50 + 52m + 90 + 44m
= 50 + 90 + 52m + 44m
= 140 + 96 m
He used factoring to break it apart
Answer: -4.5
Step-by-step explanation:
