1:
A - actually not true, a probability plot would be better
B - not true, since exact values are plotted a box-and-whisker would be better
C - true (that's what a histogram does)
D - True (You can get the measures of central tendency quickly)
2:
A - true
B - False - those are easily found
C - False - They are arranged on the x-axis
D - True - see above
Answer:
The vertex of the quadratic equation is the point (4,2)
Step-by-step explanation:
we know that
The figure show a vertical parabola open downward
The vertex represent the maximum point of the graph
Looking at the graph
The maximum point of the graph is (4,2)
therefore
The vertex of the quadratic equation is the point (4,2)
see the attached figure to better understand the problem
The above expression is not in its simplest form, and we need to simplify it, that is what asked in the question.
Given equation,
![(9 {x}^{2} - 3x + 7) + ( - 3 {x}^{2} + 2)](https://tex.z-dn.net/?f=%289%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20%2B%207%29%20%2B%20%28%20-%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%202%29)
First of all, let's open the parentheses to combine the like terms for simplifying.
![9 {x}^{2} - 3x + 7 - 3 {x}^{2} + 2](https://tex.z-dn.net/?f=9%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20%2B%207%20-%203%20%7Bx%7D%5E%7B2%7D%20%20%2B%202)
Arranging the like terms, x² with x², x with x and constant terms near to each other.
![9 {x}^{2} - 3 {x}^{2} - 3x + 7 + 2](https://tex.z-dn.net/?f=9%20%7Bx%7D%5E%7B2%7D%20%20-%203%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20%2B%207%20%2B%202)
Simplying further,
![(9 - 3) {x}^{2} - 3x + 9](https://tex.z-dn.net/?f=%289%20-%203%29%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20%2B%209)
![6 {x}^{2} - 3x + 9](https://tex.z-dn.net/?f=6%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20%2B%209)
So, the correct option is C
<u>━━━━━━━━━━━━━━━━━━━━</u>
$12.50 because you would divide 50 and 4
3+x
This is a trick question. Unless we know how much she’s eaten for lunch, we can’t figure out how much she ate.