Answer:42 and 64
Step-by-step explanation:
[(3 + h)³ - 27]/h
= (27 + 27h + 9h² + h³ - 27) /h
= h(h² + 9h + 27)/h
= h² + 9h + 27
h → 0
= 0 + 0 + 27
= 27
Answer:
x mean x-mean (x-mean)^2
4.45 8.74 -4.29 18.44
5.50 8.74 -3.24 10.52
5.50 8.74 -3.24 10.52
6.30 8.74 -2.44 5.97
7.80 8.74 -0.94 0.89
11.0 8.74 2.26 5.09
12.2 8.74 3.46 11.95
17.2 8.74 8.46 71.51
mean = average / (n-1) = 69.95 / (8-1) = 8.74
Ok after you do the above table
Add up the last column that will yield: 134.89
Sample variance = 134.99/(n-1) = 134.99/7 = 19.27
Standard deviation is square root of sample variance sqrt(19.27) = 4.39
Step-by-step explanation:
Answer:
(3, -3)
Step-by-step explanation:
The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).
A perendicular line will have a slope that is the negative reciprocal of the perpendicular slope. The negative reciprocal of - 1/3 is 3. So far we have y=3x+b since 3 is the new slope. However, we need to set a b value such that it passes through (1,5). Set y to 5 and x to 1. 5=3(1)+b and we can see that to satisfy this, b must be 2. Thus, the line is y=3x+2