Answer:
f[g(x)] = 4x²+1/16
Step-by-step explanation:
We need to put g(x) into f(x).
f[g(x)] = 1/(1/2x+4)²
f[g(x)] = 1/(1/4x²+16) Solve the exponential.
f[g(x)] = 1/(1/4x²+16) Simply the fraction.
f[g(x)] = 4x²+1/16
9y(8y² - 2y + 4)
9y(8y²) - 9y(2y) + 9y(4)
72y³ - 18y² + 36y
Answer:
x = 6 x = -7
Step-by-step explanation:
Subtract 12 from each side:
x^2 + x - 30 - 12 = 12 - 12
Simplify:
x^2 + x - 42 = 0
Solve with quadratic formula using both +/- after the first -1:
x = 
Simplify:
x = 6
x = -7
Answer:
1.)4188.79
2.) 7238.23
3.)1.02
4.)4189
5.)170 cm³
Step-by-step explanation:
1.) 4πr2 * 5
2.) 4πr2 * 12
3.) V = 4/3(PI*r3). *4.5
4.) V = 4/3 π r ^3 * 10
5.) Given:
Cylindrical container: height = 18 cm ; diameter = 6 cm.
3 balls each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3 π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
113.04 cm³ * 3 balls = 339.12 cm³
508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³
There is 170 cm³ free space in the container.
Answer:
The ratio of their ages is 3 : 6 : 8
Step-by-step explanation:
