Fun fact
if f(a)=b then f⁻¹(b)=a
so
if f⁻¹(b)=a then f(a)=b
so we find f(x)=27 and the solve for x
f(x)=3x=27
3x=27
divide both sides by 3
x=9
so if f(9)=27 then f⁻¹(27)=9
problem solved
answer is 9
You can evaluate / find
<span>8.64 x 10^6
-----------------
4.32 x 10^3
by first dividing 8.64 by 4.32 and then dividing 10^6 by 10^3:
2*10^3 (answer)
Please choose the question you want help with next, and post it separately.
</span>
Answer: an = 4n + 1
Step-by-step explanation:
Use the formula an = a1 + d (n - 1) to identify the sequence
Answer:
1 container and 14 cups
Step-by-step explanation:
We know that 1 quart = 4 cups
therefore, 12 quart = 48 cups
each container has 34 cups
so one container would be full and remaining 48-34 =14 cups can be filled in another container.
Answer:
centre = (2, 4)
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 4x - 8y - 5 = 0
Rearrange the x/y terms together and add 5 to both sides
x² - 4x + y² - 8y = 5
Use the method of completing the square on both the x/y terms
add ( half the coefficient of the x/y terms )² to both sides
x² + 2(- 2)x + 4 + y² + 2(- 4)y + 16 = 5 + 4 + 16
(x - 2)² + (y - 4)² = 25 ← in standard form
with centre (2, 4) and r =
= 5