Plug in 10 for x in h(x) then simplify
h(10)=2(10)-8
h(10)=20-8
h(10)=12
h(10) is 12 so put 12 in for g(x)
g(h(10))=12-4
g(h(10))=8
Here’s everything together
g(h(10))=(2(10)-8)-4
=(20-8)-4
=(12)-4
=8
This is what I’ve always done. I can’t really tell what your answers are so sorry if this isn’t right at all.
Answer:
Option B and D are correct
Step-by-step explanation:
Exponential functions are really useful in the real world situation. They can be used to solve following
a) Population Models
b) Determination of area and perimeters
c) Determine time related things such as half life, time of happening of an event etc.
d) Useful for solving financial problems such as computing investments etc.
Hence, option B and D
There is a common ratio of 2/3 between the height of the ball at each bounce. So, the bounce heights form a geometric sequence: 27, 18, 12. Two-thirds of 12 is 8, so on the fourth bounce, the ball will reach a height of 8 feet.
Answer:
The answer to your question is: 14 + 2√40 = 26.6 units
Step-by-step explanation:
Data
A ( -5, 4) B (-3, -2) C (4, -2) D (2, 4)
Formula
d = √(x2 - x1)² + (y2 - y1)²
Perimeter = dAB + dBC + dCD + dAD
Process
dAB = √(-3 + 5)² + (-2 - 4)²
dAB = √(2)² + (-6)²
dAB = √4 + 36
dAB = √40 units
dBC = √(4 + 3)² + (-2 + 2)²
dBC = √(7)²
dBC = √49
dBC = 7 units
dCD = √(2 - 4)² + (4 + 2)²
dCD = √(2)² + (6)²
dCD = √40 units
dAD = √(2 + 5)² + (4 - 4)²
dAD = √49
dAD = 7 units
Perimeter = √40 + 7 + √40 + 7
Perimeter = 14 + 2√40 = 26.6 units
