9514 1404 393
Answer:
15. f(x) +g(x) = 7x +2
16. f(x) -g(x) = -3x +8
17. h(x) · g(x) = 35x -21
Step-by-step explanation:
Substitute the function definition for each function expression and simplify.
__
15. f(x) + g(x) = (2x +5) +(5x -3)
f(x) +g(x) = 7x +2
__
16. f(x) - g(x) = (2x +5) -(5x -3)
f(x) -g(x) = -3x +8
__
17. h(x) · g(x) = (7) · (5x -3)
h(x) · g(x) = 35x -21
In the division rule you subtract the exponents<span> when </span>dividing<span> numbers with the same base. </span>One<span> rule for exponents is that exponents add when you have the same base. This works for any number x that you want to plug in except for x = </span>0<span>,because </span>0/0<span> is indeterminate (it is like dividing </span>zero<span> by </span>zero<span>). No matter what number we use when it is raised to the </span>zero power<span> it will always be </span>1.
Step-by-step explanation:
180° = m<A + m<B + m<C
180° = 45° +60° + m<C
180° = 105° + m<C
m<C = 180° - 105 °
m<C = 75°
The answer is 28 years
At = A0 * e^(-k * t)
At = 12 g
A0 = 15 g
k = 7.9 × 10^-3 = 0.0079
t = ?
12 = 15 * e^(-0.0079 * t)
12/15 = e^(-0.0079 * t)
0.8 = e^(-0.0079 * t)
Logarithm both sides (because ln(e) = 1:
ln(0.8) = ln(e^(-0.0079 * t))
ln(0.8) = (-0.0079 * t) * ln(e)
-0.223 = -0.0079 * t
t = -0.223 / -0.0079
t = 28.23
t ≈ 28 years
(5.6)(1.8) the answer is 10.08
