Answer:
m = 2/3
Step-by-step explanation:
The slope of the line is 2/3.
In order to find any of the info we need we have to find the first derivative of the equation. If

, then

. We are told to find the slope at point (1, 7). Using that x value in our derivative will give us the slope of the line at that point. y' = -(1)^2+8. So y' = 7. That's the slope of the line. Now we will use that slope along with the x and y coordinate in the slope-intercept form of a line to solve for b. 7 = 7(1) + b so b = 0. Our equation then is y = 7x. If you graph these in the same window on your calculator, you can see how perfectly that align at the given point. It's really quite perfect.
Answer:

Step-by-step explanation:
<u>Exponential Function</u>
When we need to express the exponential relation between two variables, we use the equation

where C, r are constants to be determined by using the given points from the table
For x=0, y=2, thus

We find that C=2
The equation is now

Now we use the point x=1, y=1

We find that

Thus, the equation is

Rearranging

The required equation is

We can easily verify the last two points are also obtained by using the equation
Answer:
The answer is "X is unknown, Z is true".
Step-by-step explanation:
In the given question option is missing so, the correct answer to this question can be defined as follows:
- In this question if X is given, then y means depends upon X.
- If y is given, then z depends on y, that's why in this question Y and Z are true. but X is unknown.
<span>True A.)
It is the longest side of a right triangle.
False B.) It is one of the legs.
It is opposite the right angle.
False C.) Its length is the sum of the lengths
of the other two sides.
False D.) It forms a right angle with an adjacent
side.
If option B is a single choice, then it has to be called false.
Look at option B.
B. "It is one of the legs" is false.
"It is opposite the right angle" is true.
Are you sure option B. is not two different choices, and there are really 5 choices instead of 4?
</span>