To find the x intercept of the function, we would find g(x) = 0
To do this, we would set each expression in the piecewise function to zero and solve for x. We have
For
x/3 + 2 = 0
let us multiply both sides of the equation by 3. We have
x/3 * 3 + 2 * 3 = 0 * 3
x + 6 = 0
x = - 6
- 6 is less than - 1
- 6 < - 1
It satisfies the inequality. Thus, x = - 6 is in the domain
For
4x - 2 = 0
adding 2 to both sides of the equation, we have
4x - 2 + 2 = 0 + 2
4x = 2
Dividing both sides of the equation by 4, we have
4x/4 = 2/4
x = 1/2
x = 1/2 is less than 1. It is not in the domain of this equation. Thus, there is no x interscept at x = 1/2
Therefore, the x intercept of the piecewise function is (- 6, 0)
Answer:
Your expression would be -2x+2.
Answer:
3/8 cups
Step-by-step explanation:
Total fraction = 1/4 + 1/8
= 2/8 + 1/8
= 3/8
Answer:
166.5 m³
Step-by-step explanation:
Vcone = ⅓ × pi × r² × h
pi × r² × h = 3 × Vcone
Vcylinder = pi × r² × h
Vcylinder = 3 × Vcone
Vcylinder = 3 × 55.5 = 166.5 m³
Answer:
20%
Step-by-step explanation:
We can start by looking at it as a ratio, so 4 divided by 20 and 4/20 = 0.2, so that would be 20% viewing 1=100%.
Another way is
20 here is 100%, and for 20 to equal 100, we have to multiply it by 5. To balance it out, multiply the top by 5 as well, and 4 * 5 =20. Therefore, 4/20 = 20%
