Answer:
Between (-0.675, 0.675)
Step-by-step explanation:
We know that a standard normal distribution curve is bell shaped unimodal , symmetrical about mean.
for thsi standard normal variate with notation z, we get mean =0 and std deviation = 1
For the middle shaded region, we find z such that the area between -z and z is 0.50 exactly half.
From standard normal distribution table, we get that z= ±0.675
Hence between z=-0.675 and z = 0.675 we get the middle region with area equal to exactly 1/2.
Between (-0.675, 0.675)
By "y = −9x2 − 2x" I assume you meant <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).
Let's find the first derivative of y with respect to x: dy/dx = -18x - 2. This is equivalent to the slope of the tangent line to the (parabolic) curve. Now let this derivative (slope) = 0 and solve for the critical value: -18x - 2 = 0, or
-18x = 2. Solving for x, x = -2/18, or x = -1/9.
When x = -1/9, y = -9(-1/9)^2 - 2(-1/9). This simplifies to y = -9/9 + 2/9, or
y = -7/9.
The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>
Answer: 0.2857
Step-by-step explanation:
When you put it into the calculator as (3/7) / (3/2) you get the answer
You can clearly see the vertex of the graph in vertex form