We know that the graph goes in units of 1.
We know that the roots are -1 and 4. (Just assume it's accurate and not off by 0.0000000001.)
We can set it up as an equation: -1(x+1)(x-4) = y (I added -1 because there are two parabolas that go through those points on the x-axis, and since this parabola is facing down, I must add a negative a value.
Then multiply (F.O.I.L. - First, Outer, Inner, Last)
x^2 -4x + x - 4 = -(x^2 - 3x - 4) = -x^2 + 3x + 4
Then using -(b/2a) solve for vertex: -(3/-2) = 3/2
Plug 3/2 back into the equation.
-(3/2)^2 + 3(3/2) + 4 = -9/4 + (9/2) + 4 = 25/4
The vertex would be: (3/2, 25/4)
Axis of symmetry would be: x = 3/2
Answer:
The mean is 0.54 and the standard deviation is 0.0135.
Step-by-step explanation:
i) the mean of the sampling distribution is 0.54
ii) the mean for the sampling distribution, p = 0.54
iii) therefore for the sampling distribution, q = ( 1 - 0.54) = 0.46
iv) the sample size of the distribution, n = 1356
v) 
Answer:
D
Step-by-step explanation:
If you add one to both of the sides of the first rectangle you will get the second rectangles numbers which makes it similar.
Answer:
A zebra eating grass
Step-by-step explanation:
Its a zebra eating grass because the zebra in consuming grass, which grass is a producer.
Answer:
x ≤ 2
Step-by-step explanation:
If you referencing ">=" as greater than or equal to, follow the solution below:
Solve:
3x - 6 + 2 ≥ 5x - 8
Combine like terms.
3x - 4 ≥ 5x - 8
Subtract 5x from both sides.
-2x - 4 ≥ -8
Add 4 to both sides.
-2x ≥ -4
Divide both sides by -2, while flipping the inequality as well since you're dividing by a negative number.
x ≤ 2
Your answer would be x ≤ 2