Hello from MrBillDoesMath!
Answer:
10a. YES
10b. YES
10c. NO
10d . YES
Discussion:
If x = 12
10a. Does (3/4) 12 = 9? Does (36/4) = 9 = 9? YES
10b. Does 3x = 36? Does 3(12) = 36 = 36? YES
10c. Does 5x = 70? Does 5(12) = 60 = 70? NO
10d. Does x/3 = 4? Does 12/3 = 4 = 4 ? YES
Thank you,
MrB
6% is less than 48%. Due to the reason that 48% is a larger portion.
Step-by-step explanation:
definition of the derivative to differentiate functions. This tutorial is well understood if used with the difference quotient .
The derivative f ' of function f is defined ascthe above pic.
when this limit exists. Hence, to find the derivative from its definition, we need to find the limit of the difference quotient.
1) We can determine by the table of values whether a function is a quadratic one by considering this example:
x | y 1st difference 2nd difference
0 0 3 -0 = 3 7-3 = 4
1 3 10 -3 = 7 11 -7 = 4
2 10 21 -10 =11 15 -11 = 4
3 21 36-21 = 15 19-5 = 4
4 36 55-36= 19
5 55
2) Let's subtract the values of y this way:
3 -0 = 3
10 -3 = 7
21 -10 = 11
36 -21 = 15
55 -36 = 19
Now let's subtract the differences we've just found:
7 -3 = 4
11-7 = 4
15-11 = 4
19-15 = 4
So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.
3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2
In 16 cranks, the box is lifted 6 feet. This is basic graph reading. We’re told x is the amount of cracks and y is height in feet. So at point F, we are at 16 cranks (x) and the corresponding feet (y) is 6 feet
