Answer:
-71 + 22n is the equivalent expression.
This is the simplified expression.
Step-by-step explanation:
4(-11 + 4n) -3(-2n + 9)
= -44 + 16n + 6n - 27
= -44 + 22n - 27
= -71 + 22n
Let's assume that number as x
so,
the sum of the number and its reciprocal is

Firstly, we will find derivative

now, we can set it to 0
and then we can solve for x


Since, only x=1 lies on [1/2,3/2]
so, we will consider only x=1
now, we can plug end values and x=1 into S
At x=1/2:
we can plug x=1/2



At x=1:
we can plug x=1



At x=3/2:
we can plug x=3/2



(a)
Smallest value:
The smallest value among them

So, a number is 1..........Answer
(b)
Largest value:
The largest value among them

So, a number is
........Answer
When Ф lies in quadrant IV the value of cos Ф lies in [0, 1].
<h3>What is quadrant?</h3>
One fourth of the part of a circle is said to be the quadrant of the circle.
Given the angle Ф lies in quadrant IV.
As we know, cos Ф is positive only in first and fourth quadrant i.e when Ф lies in 0<Ф<90 and 270<Ф<360.
cosФ range from [-1,1]
So, cos Ф is positive when Ф lies in 1st and 4th quadrant.
& cos Ф is negative when Ф lies in 2nd and 3rd quadrant.
If cos ∅ lies in the quadrant IV, anything between [0, 1] can be the value of cos ∅.
Hence, when Ф lies in quadrant IV the value of cos Ф lies in [0, 1].
Learn more about quadrant.
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Answer:
= 3 R 43
= 3 43/268
847 divided by 268 equals
3 with a remainder of 43
Median is 7, two numbers in the middle is 8 and 6, 8+ 6 = 14 divided by 2 is 7.
Range is largest number minus the smallest number. Largest number is 13 and smallest number is 1. 13-1 equals 12. Range is 12.
12 - 7 = 5 answer is 5