for the value of 
we have the function f(x) = 1/(x-2) or 
as undefined or not defined .
<u>Step-by-step explanation:</u>
<u>Function undefined: </u> A function is undefined when it gives results which are not defined for example , infinity .
Here we have , Function f(x) = 1/(x-2) or . We need to find a value of for which this is not defined . Let's find out:
We can clearly see that it's a fractional function with numerator as 1 and denominator as x-2 . For a fractional function to be undefined it's denominator must be zero i.e. x-2 = 0 or 
⇒
⇒ 
⇒
Therefore, for the value of we have the function f(x) = 1/(x-2) or as undefined or not defined .
The two diagonals divide the parallelogram into four triangles. If I can prove that the two triangles opposite one another are congregant.
<h3>
What is diagonal?</h3>
The lines which connect the two opposite corners of any quadrilateral is called diagonal.
The two diagonals divide the parallelogram into four triangles. If I can prove that the two triangles opposite one another are congregant. then the corresponding sides of those two triangles must be congregant.
These corresponding sides will help show that the lengths of the line segments on either side of the point of intersection are equal, proving bisection.
To prove triangle congruency, I can use the properties of the angles formed when parallel lines are cut by a transversal and that opposite sides of the parallelogram are congregant.
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The statement (C) the number of juice boxes must be an even number is correct.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a rule is “Multiply by 8"
Number of Packages: 3 5 6 8
Number of Juice Boxes: 24 40 48
The statements are:
- A. The number of juice boxes will always be greater than 24.
- B. The number of packages will always be greater than the number of juice boxes.
- C. The number of juice boxes must be an even number.
- D. The number of juice boxes will always be 21 more than the number of packages.
Number of package starts from 3
Applying the rule: "Multiply by 8.
Number of Juice Boxes = 3×8 = 24
The statement should be the number of juice boxes will always be greater than and equal to 24.
When we multiply even with odd we get an even number.
8 is an even number.
Thus, the statement (C) the number of juice boxes must be an even number is correct.
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Answer:
(a) width = (x - 1)
length = (7x - 6)
(b) Area = 350 cm²
Perimeter = 114 cm
Step-by-step explanation:
<h3><u>Part (a)</u></h3>
Given equation: 
⇒ a = 7, b = -13, c = 6
Find 2 two numbers that multiply to ac and sum to b: -6 and -7
Rewrite b as the sum of these 2 numbers:
Factorize the first two terms and the last two terms separately:
Factor out the common term (x - 1):
Therefore:
- width = (x - 1)
- length = (7x - 6)
<h3><u>Part (b)</u></h3>
Substitute the given value of x = 8 into the equations to find the area and perimeter:
![\begin{aligned}\textsf{Perimeter} & = 2(\sf width+length)\\& =2[(x-1)+(7x-6)]\\ & = 2[(8-1)+(7(8)-6)]\\ & = 2[7+(56-6)] \\& = 2(7+50)\\& = 2(57)\\ & = 114 \sf \:\: cm\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Ctextsf%7BPerimeter%7D%20%26%20%3D%202%28%5Csf%20width%2Blength%29%5C%5C%26%20%3D2%5B%28x-1%29%2B%287x-6%29%5D%5C%5C%20%26%20%3D%202%5B%288-1%29%2B%287%288%29-6%29%5D%5C%5C%20%26%20%3D%202%5B7%2B%2856-6%29%5D%20%5C%5C%26%20%3D%202%287%2B50%29%5C%5C%26%20%3D%202%2857%29%5C%5C%20%26%20%3D%20114%20%5Csf%20%5C%3A%5C%3A%20cm%5Cend%7Baligned%7D)
Answer:
(-infinity, infinity)
(-infinity, infinity)
Step-by-step explanation:
for both
