Answer:
f(g(x)) = 4x² - 12x + 9
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(2x - 3)
= (2x - 3)² ← expand using FOIL
= 4x² - 12x + 9
Answer:
about 9.4 units
Step-by-step explanation:
Distance formula:
√(x1 - x2)² + (y2 - y1)²
Coordinates:
A (4, 2)
B (9, 10)
Let's make 9 = x1
Let's make 4 = x2
Let's make 10 = y1
Let's make 2 = y2
Substitute into the distance formula:
√(x1 - x2)² + (y2 - y1)²
√(9 - 4)² + (2 - 10)²
Solve:
√(9 - 4)² + (2 - 10)²
√(5)² + (-8)²
√25 + 64
√89
≈ 9.4
Therefore, the length of AB is approximately 9.4 units.
Answer:
x = 323 in
Step-by-step explanation:
Given triangles are similar, so their corresponding sides would be in proportion:
3ft = 3*12 = 36 in
5ft 8 in = 5*12 + 8 = 68 in
14 ft 3 in = 14*12 + 3 = 171 in
16*15 =240
240*s where s = number of students in Mr McDonalds class
