The velocity is 4. You didn’t say what you needed to find but I’m pretty sure it’s that
(x4−3x3+4x2−8)/(x+1) = x3−4x2<span>+8x−8.</span>
Answer: 30 gallons
Step-by-step explanation:
Let the number of gallons that are in a full tank be represented by x.
Since there are 6 gallons in a tank that is 20% full, this will be set up in an equation as:
20% × x = 6
20/100 × x = 6
0.2 × x = 6
0.2x = 6
x = 6/0.2
x = 30
There are 30 gallons in a full tank
F(x)= 2x²+4x-6 and g(x)=2x-2, find each function
1. (f/g) (x) = f(x)÷g(x) = (2x²+4x-6)÷(2x-2)
First factor both top and bottom:
(2x-2)(x+3)÷(2x-2) = x+3
2. f(a + 2) = plug (a+2) in anywhere there is an x in f(x)=2x²+4x-6 -->
2(a+2)^2 +4(a+2)-6 = 2(a^2+4a+4)+4a+8-6, now distribute:
2a^2+8a+8+4a+2, combine like terms
2a^2+12a+10
3. g(a/2) = plug (a/2) in anywhere there's an x in g(x)=2x-2:
2(a/2)-2 = a-2
