Answer:
The vertex is at (-3/2, 33/4)
x=-3/2
Step-by-step explanation:
y= -x^2 -3x+6
Factor out a negative from the first two terms
y = -(x^2 +3x) +6
Complete the square
Take 3 /2 and square it (3/2)^2 = 9/4
The - on the outside of the parentheses means we really are subtracting it so we need to add it on the outside
y = -(x^2 + 3x + 9/4) +9/4 +6
= -(x+3/2)^2 + 9/4 +6
Get a common denominator of 4
= -(x+3/2)^2 + 9/4 +6*4/4
y =- (x+3/2)^2 + 9/4 +24/4
y = -(x+3/2)^2 + 33/4
y = a(x-h)^2 +k where (h,k) is the vertex
y = -(x - -3/2)^2 + 33/4
The vertex is at (-3/2, 33/4)
The axis of symmetry is at the x coordinate of the vertex
x=-3/2
Answer:
2) 476.637
7) 2.2 and 2.20
8) 8.10 and 8.100
9) 9.5 and 9.500
10) 4.2 and 4.20
Step-by-step explanation:
2) First, solve 1/10 1/100, and 1/1000. That would be 0.1, 0.01, and 0.001.
Then, add all the numbers up. Do multiplication first. 4 x 100 = 400. Your answer would be 400 + 70 + 6 + 0.6 + 0.03 + 0.007. Add the big numbers. 476 + 0.637.
7) 2.2 and 2.20. It doesn't change the value no matter how many 0's you put.
8) 8.10 and 8.100
It doesn't change the value no matter how many 0's you put.
9) 9.5 and 9.500
It doesn't change the value no matter how many 0's you put.
10) 4.2 and 4.20
It doesn't change the value no matter how many 0's you put.
<em>-kiniwih426</em>
900-190= 710
710/40= 17.75
17 (or 18, but I would choose 17 if I were you)
Answer:
-5
Step-by-step explanation:
The minimum is at the vertex. This is at (1, -5)
The minimum value is -5
