Answer:

Step-by-step explanation:
we know that
---> by addition angle postulate
we have
----> given problem
----> given problem
substitute in the expression above

Divide by 2 both sides

Answer:
(100 – 12) – 3x
Step-by-step explanation:
(100 – 12) – 3x would be the correct answer because:
100 is the total amount he paid
12 is the cost of pants
because we don't know the price of shirts yet so it would be called x
He buy in total of 3 shirts so the equation for the price would be 3 * x = 3x
So it would be:
total money paid - pants costs - shirts cost
= 100 - 12 - 3x or (100 - 12) -3x
Hope this helped :3
Answer: 
Step-by-step explanation:
<h3>
The exercise is: " Evaluate
when
and 
</h3>
Given the following expression:

You can follow these steps in order to evaluate it:
1. Substitute
and
into the expression provided in the exercise:

2. Solve the multiplications. Remember that:

Then:

3. Reduce the fraction. Notice that the numerator 6 and the denomiantor 4 can be both divided by 2. Then:

4. Solve the addition:

Since the number 21 has a denominator 1, the Least Common Denominator is:

Then, the sum is:

The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x = number of weeks required to complete the assignments
We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:
1. Set y = f(x)
y = 4x - 3/2
2. Exchange x and y
x = 4y - 3/2
3. Solve for y
4y = x + 3/2
y = (x +3/2)/4
4. Set y equal to f⁻¹ (x)
f⁻¹ (x) = (x + 3/2)/4
5. Find f⁻¹ (30)
f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)
Answer:
Pedro needs about 8 weeks to complete 30 assignments.