Step-by-step explanation:
We must ask a question that your answer corresponds to each of the topics in the statement, therefore we will review each one:
5. Distances members of the track team jogged last week
How far did you run last week?
6. Numbers of letters in name of street you live on
How many letters are there in the name of your street?
7. Cost of a restaurant dinner
How much did you pay for dinner?
8. Numbers of cars of different colors in a parking lot
What color is your car?
Answer:
The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the line
3x - 4y = 7
writing in the slope-intercept form
4y = 3x - 7
dividing both sides by 4
4y/4 = 3/4x - 7/4
y = 3/4x - 7/4
Now, comparing with the slope-intercept form of the line equation
y = 3/4x - 7/4
The slope of the line m = 3/4
We know that parallel lines have the same slopes.
Therefore, the slope of the parallel line is: 3/4
now we have,
The point (-4, -2)
The slope m of parallel line = 3/4
Given the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting (-4, -2) and m = 3/4 in the point-slope form of line equation


Thus, the equation in the point-slope form of the line equation is:

Simplifying the equation

Subtract 3 from both sides


Multiplying the equation by 4


Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:
Answer:
x - 8y - z = 1
Step-by-step explanation:
Data provided according to the question is as follows
f(x,y) = z = ln(x - 8y)
Now the equation for the tangent plane to the surface
For z = f (x,y) at the point P
is

Now the partial derivatives of f are


= 1
Now

= -8
So, the tangent equation is

Now after solving this, the following equation arise
z = x - 9 - 8y + 8
z = x - 8y - 1
Therefore
x - 8y - z = 1
Answer: Well sampling is the process of choosing a representative sample from a target population and collecting data from that sample in order to understand something about the population as a whole. A data sample is a set of data collected and the world selected from a statistical population by a defined procedure.
Step-by-step explanation: