Answer:
C
Step-by-step explanation:
A 6’9 you add up the heights in inches
6’1 = 73 inches
6’2 = 74 inches
6’3 = 75 inches
6’5 = 77 inches
6’9 = 81 inches
Add them together you get 380 then divide 380 by 5 (one for every height) you get 76 and 76 inches is equal to 6’4
=±22
x
=
±
2
x
2
Using the fact that 2=ln2
2
=
e
ln
2
:
=±ln22
x
=
±
e
x
ln
2
2
−ln22=±1
x
e
−
x
ln
2
2
=
±
1
−ln22−ln22=∓ln22
−
x
ln
2
2
e
−
x
ln
2
2
=
∓
ln
2
2
Here we can apply a function known as the Lambert W function. If =
x
e
x
=
a
, then =()
x
=
W
(
a
)
.
−ln22=(∓ln22)
−
x
ln
2
2
=
W
(
∓
ln
2
2
)
=−2(∓ln22)ln2
x
=
−
2
W
(
∓
ln
2
2
)
ln
2
For negative values of
x
, ()
W
(
x
)
has 2 real solutions for −−1<<0
−
e
−
1
<
x
<
0
.
−ln22
−
ln
2
2
satisfies that condition, so we have 3 real solutions overall. One real solution for the positive input, and 2 real solutions for the negative input.
I used python to calculate the values. The dps property is the level of decimal precision, because the mpmath library does arbitrary precision math. For the 3rd output line, the -1 parameter gives us the second real solution for small negative inputs. If you are interested in complex solutions, you can change that second parameter to other integer values. 0 is the default number for that parameter.
Answer:
The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation. Therefore,
f(x) = x2 – 5x + 6
a = 1
b = -5
c = 6
Step-by-step explanation:
The interval 44-47 has a frequency of 3 .
The interval 48-51 has a frequency of 4.
The interval 56-59 has a frequency of 1.
The given data set is:
42, 43, 46, 47, 47, 48, 49, 50, 51, 53, 55, 55, 59
The number lying in the interval 44-47 are :46, 47, 47
So the interval 44-47 has a frequency of 3.
The number lying in the interval 48-51 are :48, 49, 50, 51
So, the interval 48-51 has a frequency of 4.
The number lying in the interval 56-59 is: 59
So, the interval 56-59 has a frequency of 1.