Answer:
Step-by-step explanation:
- Math session = 45 min = 3/4 hr
- French session = 30 min = 1/2 hr
- Number of math sessions = m, total math hours = 3/4m
- Number of French sessions = f, total French hours = 1/2f
<u>Total hours constraint:</u>
<u>Number of session constraint:</u>
<u>So the system is:</u>
Answer: x^3 - 1 = (x - 1)(x^2 + x + 1)
Explanation:
This is a type of factorizing called the sum or difference of 2 cubes:
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
The sum of the cubes is factored as:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
In this case, we have: x^3 - 1 so follow the rule above.
x^3 - 1 = (x - 1)(x^2 + x + 1)
Answer:
x=8/9
Step-by-step explanation:
5x+2(x-3)=-2(x-1)
1) Distribute 2 to x and -3:
5x+2x-6=-2(x-1)
2) Distribute -2 to x and -1:
5x+2x-6=-2x+2
3) Combine alike terms:
7x-6=-2x+2
4) Add 2x to both sides:
9x-6=2
5) Add 6 to both sides:
9x=8
6) Divide both sides by 9:
x=8/9
Answer:
You need to add a picture so we can help
Does the relation {(-2,2), (-7,1), (-3,9), (-8,4), (-9,5), (-6,8)) represent
Gelneren [198K]
Answer:
Yes
Step-by-step explanation:
This does represent a function because every x-value only goes to one y-value.