Steps to solve:
g(x) = – x^2 + 4x + 3 when g(-3).
~Substitute x with -3.
g(-3) = -(-3)^2 + 4(-3) + 3
~Simplify
g(-3) = -9 - 12 + 3
~Simplify using PEMDAS
g(-3) = -18
Best of Luck!
Answer: 46.90mins
Step-by-step explanation:
The given data:
The diameter of the balloon = 55 feet
The rate of increase of the radius of the balloon when inflated = 1.5 feet/min.
Solution:
dr/dt = 1.5 feet per minute = 1.5 ft/min
V = 4/3·π·r³
The maximum volume of the balloon
= 4/3 × 3.14 × 55³
= 696556.67 ft³
When the volume 2/3 the maximum volume
= 2/3 × 696556.67 ft³
= 464371.11 ft³
The radius, r₂ at the point is
= 4/3·π·r₂³
= 464371.11 ft³
r₂³ = 464371.11 ft³ × 3/4
= 348278.33 ft³
348278.333333
r₂ = ∛(348278.33 ft³) ≈ 70.36 ft
The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)
The time for the radius to increase to the
above length
Time taken for the radius to increase the length.
= is 70.369 ft/(1.5 ft/min)
= 46.90 minutes
46.90mins is the time taken to inflate the balloon.
Answer:
50% decrease
Step-by-step explanation:
I took the test
Answer:
C) 18
Step-by-step explanation:
Substitute x=-3 into the expression:
2(-3)² = 2(9) = 18
Therefore, C is correct
Answer:
30000
Step-by-step explanation:
30 x 1000
