Answer:
24 years
Step-by-step explanation:
total ratio =8
older student=40 years
3/8*40 ÷ 5/8=24
1. your leading coefficient has to be 1 (nothing before the x^2). If there is you have to divide that out before you start.
2. Move your constant (the number without any x attached) to the other side of the equation
3. take 1/2 of the b term (the one with the x attached) and then square it and then add it to both sides
4. Factor the left side
5. Set each factor equal to 0 and solve
Here is an example:
4x^2-24x+20=0
The first term is not a 1 so we have to divide it out by 4 first
x^2-6x+5=0
Move the 5 to the other side. It becomes negative.
x^2-6x=-5
Take 1/2 of 6 (3) then square it (9) and add it to both sides.
x^2-6x+9=-5+9
Factor the left side
(x-3)(x-3)=4
(x-3)^2=4
To solve you need to square root both sides
x-3=+/-
x-3=+/-2
x=3+2=5
x=3-2=1
Those would be your two answers.
<span>Hope that helps</span>
Answer:
x = 5 or x = 2 or x = 0 or x = -3 thus 0 is the smallest root
Step-by-step explanation:
Solve for x:
x (x - 5) (x - 2) (x + 3) = 0
Split into four equations:
x - 5 = 0 or x - 2 = 0 or x = 0 or x + 3 = 0
Add 5 to both sides:
x = 5 or x - 2 = 0 or x = 0 or x + 3 = 0
Add 2 to both sides:
x = 5 or x = 2 or x = 0 or x + 3 = 0
Subtract 3 from both sides:
Answer: x = 5 or x = 2 or x = 0 or x = -3
Answer:
225
Step-by-step explanation:
We can model this question with:
9 = 0.04x
x represents "what number."
0.04x = 9.
Divide 0.04 from both sides
0.04x ÷ 0.04 = 9 ÷ 0.04
9 ÷ 0.04 = 225.
Therefore, 9 is 4% of 225.
