<h2>
Answer:</h2>
Variance
<h2>
Step-by-step explanation:</h2>
The standard deviation is related to the variance. The standard deviation measures the variation or dispersion of a set of data and is represented by the Greek letter sigma 
, while the variance measures how far a set of numbers are spread out from their average value. The variance is obtained by squaring the standard deviation, so the variance can be found as 
Answer:
= (3t+2)(3t-2)(3t-4)
Step-by-step explanation:
Given the expression 27t^3 - 36t^2 - 12t + 16
On factoring:
(27t^3 - 36t^2) - (12t + 16)
= 9t²(3t-4)-4(3t-4)
= (9t²-4)(3t-4)
factoring 9t²-4
9t²-4 = (3t)² - 2²
From different of two square, a²-b² = (a+b)(a-b)
Hence (3t)² - 2² = (3t+2)(3t-2)
= (9t²-4)(3t-4)
= (3t+2)(3t-2)(3t-4)
Hence the factored form of the expression is (3t+2)(3t-2)(3t-4)
Answer:
D.
Step-by-step explanation:
f(x) increases by 2 as x increases by 1 x value.
We know it isn't A since and x value plue 2 would not equal the y value.
But if you multiply each x-value by 2 you get f(x)
The average rate of change of a graph between two intervals is given by the difference in value of the values on the graph of the two interval divided by the difference between the two intervals.
Part A.
From the graph the average Valentine's day spending in 2005 is 98 while the average Valentine's day spending in 2007 is 120.
The average rate of change in spending between 2005 and 2007 is given by
Part B
From the graph the average Valentine's day spending in 2004 is 100 while the average Valentine's day spending in 2010 is 103.
The average rate of change in spending between 2004 and 2010 is given by
Part C:
From the graph the average Valentine's day spending in 2009 is 102 while the average Valentine's day spending in 2010 is 103.
The average rate of change in spending between 2009 and 2010 is given by
Answer:
Represent the thickness of the frame by x.
Framing the mirror will increase both its length and width by 2x. The area of the mirror with the frame is the product of the length and width which can mathematically be expressed as,
A = (3+2x)(2+2x) = 8
The equation above can be simplified into 4x^2 + 10x -2=0.
This equation can still be further simplified by dividing it by 2. However, it will give an answer which is not found on the choices. Thus, the answer is the third choice.
