Given table
______
x y
______
2.4 9
7.2 28
7 24
8.3 35
3.1 9
7.2 30
9 32
_________
So, the coordinates on the graph (2.4, 9), (7.2, 28), (7, 24), (8.3, 35), (3.1 , 9), ( 7.2, 30), (9, 32).
The first graph represents the line of best fit.
The definition of line of best fit " A line of best fit is a straight line that best represents the data on a scatter plot. This line may pass through some of the points, none of the points, or all of the points.".
<h3>Note: Most of the points should be as closer as possible to the drawn line. </h3>
Answer:
Step-by-step explanation:
Given that:
sin2xcos x + cos2xsin x = -1
Recall that;
SInAcosB + cosASinB = SIn (A+B)
SIn (2x +x) = -1
Sin (3x) = -1
![x = \bigg [\dfrac{Sin ^{-1} (-1)}{3} \bigg ]](https://tex.z-dn.net/?f=x%20%3D%20%5Cbigg%20%5B%5Cdfrac%7BSin%20%5E%7B-1%7D%20%28-1%29%7D%7B3%7D%20%20%5Cbigg%20%5D)


Answer:

Step-by-step explanation:
Raising something to a power to a power simply simply multiplies the two exponents
(n^3)^2 = n^6
(n^5)^4 = n^20
Multiplying two numbers with the same base (n) will add the exponents
n^6 x n^20 = n^26
Answer:
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
Step-by-step explanation:
Given
![$\[x^2 + 22x + \underline{~~~~}.\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20%5Cunderline%7B~~~~%7D.%5C%5D%24)
Required
Fill in the gap
Represent the blank with k
![$\[x^2 + 22x + k\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20k%5C%5D%24)
Solving for k...
To do this, we start by getting the coefficient of x
Coefficient of x = 22
<em />
Divide the coefficient by 2


Take the square of this result, to give k


Substitute 121 for k
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
The expression can be factorized as follows;




<em>Hence, the quadratic expression is </em>
<em></em>
Answer:
a>6
Step-by-step explanation:
add 2 to both sides