Converting to vertex form is one way of doing this
2x^2 + 12x + 19
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2 - 9] + 19
= 2(x + 3)^2 - 18 + 19
= 2(x + 3)^2 + 1
the minimum value is 1
A centimetre is the most appropriate unit
Answer: 
Step-by-step explanation:
Given: The total number of ways of to choose 3 contestants out of 7 (including me and my friend)=35..................> Total outcomes.
Favorable outcomes = 2
Then the probability that me and my friend are both chosen =
Thus , the probability that me and my friend are both chosen =
Answer:
50%
Step-by-step explanation:
The question asks who has taken fewer than 19 courses.
So first we look at how many are fewer than 19.
There are 4 that are fewer than 19: 12, 9, 5, 17
So.. 4/8 (8 is the total number of options)
To find the percentage you...
Answer:
x = -8
Step-by-step explanation:
11x– 1 = -89
Add 1 to each side
11x– 1+1 = -89+1
11x = -88
Divide each side by 11
11x/11 = -88/11
x = -8