Consider the function represented by 9x + 3y= 12 with x as the independent variable. How can this function be written
1 answer:
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Answer:
Step-by-step explanation:
Given the following expression:
You need to substitute the given values of "a" and "b" into the expression. Notice that these values are:
Then;
Now you must solve the multiplications:
The final step is to add the numbers. Therefore, you get the following answer:
Answer:
The correct option is;
A 1
Step-by-step explanation:
The given rectangle TUVW has coordinates T(a, b), U (a + 2, b + 2), V ( a + 5, b - 1) and W (a + 3, b - 3).
Given that the coordinates of T and U are T (a, b), and U (a + 2, b + 2), we have;
The slope, m of the line TU is is found by the following relation;
Where we put (x₁, y₁) = (a, b) and (x₂, y₂) = (a + 2, b + 2), we have;
m = ((b + 2) - b)/((a + 2) - a) = 2/2 = 1
Whereby the slope of a line parallel to another line are equal, we have that the slope of the line parallel to the line that contains the side TU is also 1.
Answer:
Hence, the model that best represents the data is:
Step-by-step explanation:
We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.
We are asked to find which model best represents the data?
So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:
We are given 4 functions as:
A)
B)
C)
D)
We make the table of these values at different values of x.
x A B C D
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
Hence, the function that best represents the data is:
Option C.
y=26.9x-1.3