Percent of change will always be positive because the change is an absolute value. As we know, absolute value is always a positive value because you don't pay attention to the direction, only the distance is important.
Answer:
(-4,169)
Step-by-step explanation:
11 (-4)^2 - 5(-4)+13
11(16)- 20 +13
176 -20+13
169
Answer with explanation:
The given statement is which we have to prove by the principal of Mathematical Induction

1.→For, n=1
L H S =2
R H S=1
2>1
L H S> R H S
So,the Statement is true for , n=1.
2.⇒Let the statement is true for, n=k.

---------------------------------------(1)
3⇒Now, we will prove that the mathematical statement is true for, n=k+1.

Hence it is true for, n=k+1.
So,we have proved the statement with the help of mathematical Induction, which is

Answer: Vertical Stretch
Step-by-step explanation:
Given: The cost of manufacturing x refrigerators is given by the function :
If the cost doubles fr the year 2011 owing to higher raw material prices, then we multiply the given function by 2, then we get a new function :
which represents a vertical stretch in the graph.
∵ 2 is a positive constant greater than 1 which is multiplied to the parent function f(x). So by the definition of vertical stretch the parent function will be vertically stretched .
The value of x equals 30.
Step by Step explanation:
All sides are equal so you know the angle lengths are equal. When you multiple 2x by 3 you get 6x. All angles of a triangle add up to 180 so you divide 180 by 6 and you get 30. Hope This Helps!