Answer:
Step-by-step explanation:
The given fraction is:
We need to solve it.
The LCM of 168 and 180 is 2520.
So,
So, the required answer is equal to .
Simplifying
2x2 + 6x + 4 = 24
Reorder the terms:
4 + 6x + 2x2 = 24
Solving
4 + 6x + 2x2 = 24
Solving for variable 'x'.
Reorder the terms:
4 + -24 + 6x + 2x2 = 24 + -24
Combine like terms: 4 + -24 = -20
-20 + 6x + 2x2 = 24 + -24
Combine like terms: 24 + -24 = 0
-20 + 6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
The simplification of the expression is 28. The mistake in your calculation occurred in step 3.
<h3>What is the process involved in simplifying expression involving brackets?</h3>
TO simplify expressions involving brackets, we use a common method called BODMAS (Brackets, Of, Division, Multiplication, Addition, and Subtraction).
This means that we will first solve the expression in brackets first, followed by division, multiplication, addition, and subtraction as the case may be.
Now, from the given information, we have:
= 22+6[(14-5)÷3(17-14)]
solving parameters in the bracket first, we have:
= 22 + 6[(9) ÷3(3)]
= 22 + 6[(9) ÷9]
- The above step is where you missed it from your calculation, you must first open all brackets within brackets before solving them.
= 22 + 6[(9) ÷9]
= 22 + 6[ 1]
= 22 + 6
= 28
Learn more about simplifying expressions here:
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The lowest number of people at a table is 0.
<h3>What is the lowest number of people at a table?</h3>
A dot plot is a graph that is used to represent the frequency of a data set. The dots in a dot plot represent the frequency of a number. The greater the height of a number, the higher its frequency. A dot plot is also known as a strip plot or a dot chart.
Looking at the dot plot, it can be seen that there are two dots above 2. This means that at two tables there was no one there.
To learn more about dot plots, please check: brainly.com/question/22746300
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Answer: 601
Step-by-step explanation:
When the prior estimate of population proportion is not given , the formula we apply to find sample size :
, where z* = critical z-value
E=Margin of error
Given : Margin of error = 0.04
Confidence level = 95%
We know that , according to the z-table , the critical value for 95% confidence interval = z*= 1.960
Then, the required sample size : 
Hence, the required minimum sample size = 601
