First question:
4(3x-5) + (2x -2)(4 + 3x-5)
Simplify -----> 12x - 20 + (2x-2)(3x-1)
Multiply the second part -----> 12x - 20 + 6x^2 -8x + 2
Combine like terms --------> 6x^2 + 4x - 18
Each side of the addition sign represents one of the rectangles above which is then added to get the area of the entire figure.
Second question:
The average is the summation of each data value divided by the number of data values. So it would be
(4 + 5 + 9)/ 3
Simplify ------> 18/3
Divide --------> 6
Answer:
x = 5/2 or x = 2.5
Step-by-step explanation:
To solve for x, we will have to get the equation 2x + 15 = 20 into the form x = _. That will be our answer.
2x + 15 = 20
Subtract 15 from both sides to get rid of the +15 on the left side.
2x = 20 - 15
Simplify.
2x = 5
Divide both sides by 2 to get rid of the coefficient of 2 on the left side.\
x = 5/2 = 2.5
x = 5/2 or x = 2.5
I hope you find my answer helpful. :)
B
given f(x) in factored form, equate to zero for x-intercepts
(x - 8)(x - 4) = 0, hence
x = 4, x = 8 ← x- intercepts
The vertex lies on the axis of symmetry which is situated at the midpoint of the x- intercepts
x- coordinate of vertex = 
= 6
f(6) = (6 - 8 )(6 - 4 ) = -2 × 2 = - 4 ← y-coordinate
vertex = (6, - 4 ) → B
I believe it is 4 my good sir
Furthest from 0, so I am going to take the absolute value of these numbers. The absolute value will tell us how far away from 0 these numbers are.
|-1/2| = |- 0.5| = 0.5
|8/9| = |0.88| = 0.88
|0.2| = 0.2
so the number furthest from 0 is 8/9
