<h3>
Answer: f(x) = x + 13 </h3>
This is the same as y = x+13
=============================================================
Explanation:
Let's find the slope
I'll use the first two rows as the (x1,y1) and (x2,y2) points
m = (y2-y1)/(x2-x1)
m = (19-18)/(6-5)
m = 1/1
m = 1
The slope is 1.
Now apply the point slope formula and solve for y
y - y1 = m(x - x1)
y - 18 = 1(x - 5)
y - 18 = x - 5
y = x-5 + 18
y = x + 13
f(x) = x + 13 is the final answer
As a check, note how something like x = 5 leads to...
f(x) = x+13
f(5) = 5+13 ... replace x with 5
f(5) = 18
We see that x = 5 leads to f(x) = 18. That verifies the first row. I'll let you check the remaining three rows.
The equation y = x+13 has slope 1 and y intercept 13.
Answer:
Z-score = 1.18
Step-by-step explanation:
The z-score measures how many standard deviations from the mean a data is
Therefore the z score is the quotient between the difference between a value and the mean and the standard deviation

Where
μ is the mean, x is a data of the population and
is the standard deviation
In this case

Then the z-score is

We have been given an equation of circle
. We are asked to find the center and radius of the circle.
First of all, we will write equation of circle is standard form
, where center of circle is at point (h,k) and radius is r.
Let us complete the square for both x and y.


Adding half the square of coefficient of x and y term, we will get:





Therefore, the center of the circle is
and radius is 4 units.
ANSWER:

STEP-BY-STEP EXPLANATION:
We have that the equation in its slope-intercept form is the following:

The slope can be calculated as follows:

We use the points (4,7) and (1,1) to calculate the slope:

Now, we calculate the value of b, using the point (1,1) and the slope, like this:

Therefore, the equation would be:
Answer:
Step-by-step explanation:
76