Answer:
60.30
Step-by-step explanation:
Rounded to the nearest 0.01 or the Hundredths Place.
Answer:
(a) f⁻¹(x) = 2x - 8
(b) f⁻¹(4) = 0
Step-by-step explanation:
This is usually not too difficult if you write the equation as y = f(x), then swap x and y and solve for y.
... y = (1/2)x + 4 . . . . y = f(x)
... x = (1/2)y + 4 . . . . variables swapped
... x - 4 = (1/2)y . . . . . subtract 4
... 2(x -4) = y . . . . . . multiply by 2
... y = 2x - 8 . . . . . . simplify
... f⁻¹(x) = 2x -8
____
Evaluating this for x=4, we get
... f⁻¹(4) = 2·4 - 8 = 0
Answer:
(3)
Replcaing equation (3) into equation (2) we got:

And solving for Y we got:



And solving for X from equation (3) we got:

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration
Step-by-step explanation:
For this problem we can work with the concentration of water and orange juice.
Let X the amount for the orange juice with 25% content and Y the amount for the orange juice with 5% of content
Using the concentration of orange juice we have:
(1)
And for the water we have:
(2)
If we solve for X from equation (1) we got:
(3)
Replcaing equation (3) into equation (2) we got:

And solving for Y we got:



And solving for X from equation (3) we got:

So we need 3L of orange juice with 25% of concentration and 17 L of orange juice with 5% of concentration
So you can consider the basic rule of operations such as the PEMDAS or simply the MDAS in computing and calculating equations. Hence Addition comes before Subtraction. For example given -3 + 5, you can arrange this set into a simpler one such as 5 – 3 = 2. You aim to have a positive sum rather than a negative value sum.