Answer:

Step-by-step explanation:
The problem needs application of law of indices

This means common power for terms can be applied to each term individually.

Separate power for the terms having same base can be added together.
_______________________________________________________
we will be using these law of indices in the problem

applied the first rule of indices as mentioned above

applied the second rule of indices as mentioned above
Thus, simplified form of (3xy)^2x^4y is
.
Answer:
The step which is not necessary is,
- Determine the shaded area for each line.
Step-by-step explanation:
The step which is not necessary when solving this system of equations by graphing is,
- Determine the shaded area for each line.
This question is incomplete because it was not written properly
Complete Question
A teacher gave his class two quizzes. 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first one passed the second quiz? (2 points)
a) 20%
b) 40%
c) 60%
d) 75%
Answer:
d) 75%
Step-by-step explanation:
We would be solving this question using conditional probability.
Let us represent the percentage of those who passed the first quiz as A = 80%
and
Those who passed the first quiz as B = unknown
Those who passed the first and second quiz as A and B = 60%
The formula for conditional probability is given as
P(B|A) = P(A and B) / P(A)
Where,
P(B|A) = the percent of those who passed the first one passed the second
Hence,
P(B|A) = 60/80
= 0.75
In percent form, 0.75 × 100 = 75%
Therefore, from the calculations above, 75% of those who passed the first quiz to also passed the second quiz.
Since the sum of the angles of a triangle = 180°
Then <span>80º + (2x + 2)º + 5xº = 180</span>°
82° + (7x)° = 180°
(7x)° = 180° - 82°
x = 98° ÷ 7
∴ x = 14