Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.

If point (6, 8) is one the points on the graph of f(x), then f(6)=8 and since function is even, you can state that f(-6)=f(6)=8. This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.

Answer: correct choice is A.

6 0

2 years ago

Suppose your manager indicates that for a normally distributed data set you are analyzing, your company wants data points betwee

julia-pushkina [17]

Answer:

89.04% of the data points will fall in the given range of z = − 1.6 and z = 1.6

Step-by-step explanation:

We are given a normally distributed data.

We have to find the percentage of data that lies within the range z = − 1.6 and z= 1.6

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

$P(-1.6 \leq z \leq 1.6)\\= P(z \leq 1.6) - P(z \leq -1.6)\\\text{Calculating the value from standard normal table}\\= 0.9452 - 0.0548 = 0.8904= 89.04\%$

89.04% of the data points will fall in the given range of z = − 1.6 and z= 1.6

6 0

2 years ago

.....?????...........

Liula [17]

You need 3a^3 to equal a^3, so you would need at subtract 2a^3.

Since the problem is addition, add - 2a^3:

3a^3 + -2a^3 = 3a^3 - 2a^3 = a^3

Then you have -5b^3 and you need it to equal b^^3, so you would need to add 6b^3:

-5b^3 + 6b^3 = b^3

First box would be -2

Second box would be 6

3 0

2 years ago