The answer would be 249 with a remainder of 1
You would first put the 2 over the 4, as 2 times 2 is 4. Bring the 9 down. 2 goes into 9 about 4 times, but it has the remainder of 1. You bring the other 9 down, and now it says 19. 2 x 9 equals 18, so you put the 9 on top and there you have 249 with the remainder of 1.
Answer:
(a)4.17 metres
(b)6.9999 seconds
(c)f⁻¹, t= 2ᶠ⁽ᵗ⁾
Step-by-step explanation:
f(t)=log₂t
(a) If t=18 seconds
f(18)=log₂18= log ₂(2X9)
=log ₂2 + log ₂9
=1+(log9/log2)
=1 + 3.1699 =4.17 metres
f(18)=4.17 metres.
(b)If f(t)=2.80735, we want to determine the value of t.
f(t)=log₂t
2.80735=log₂t
Changing from logarithm form to index form
t= 2^(2.80735)
=6.9999 seconds
(c)f(t)=log₂t
Next, We want to determine f⁻¹
If y=log₂t
Changing to exponential form
t=2ʸ
f⁻¹, t= 2ᶠ⁽ᵗ⁾.
6,12,18,24,30,36,42,48,54
Answer:
It's the same graph, just translate up 6 vertical units
Step-by-step explanation:
g(x) = f(x) + 6 means,
"The value of function g(x) is 6 more than the value of function f(x)"
The 'value' is the y value, shifting the y value by 6 only effects the placement of the graph vertically. It does nothing to the x values, so the graph doesn't change shape.
See the picture below..