Our "y-intercept" (where x = 0) acts as the foundation of our function here.
We can extrapolate from what we have here...if x is 0, y is going to be 2.
So, we start at 2 for y, and every time we decrease x by 2, y increases by 1.
If we decrease x by just 1, y increases by ½.
This also goes in the opposite direction. Increase x by 1, decrease y by ½.
We can write the change in y as -½x.
That change is being added to our original value of 4, of course.
The equation of this line is
.
-3.5 * 2 = -7
-3.5 * 3n = 10.5n
So there is (-7 - 10.5n) -2.5n
Now combine like terms
10.5n - 2.5n = 8n
ANSWER = -7 + 8n
If a college has 17 tutors to be appointed among the students in four departments, and the number of students in each department is 315, 310, 105 and 80 respectively, the Standard Divisor is 47.647
As per the question statement, a college has 17 tutors to be appointed among the students in four departments, and the number of students in each department is 315, 310, 105 and 80 respectively.
We are required to calculate the Standard Divisor of the above mentioned problem.
To solve this question, we need to know the formula to calculate the standard divisor, which goes as,
Standard Divisor = [(Total Population)/(Number of Candidates)]
Here, the total population of students = (315 + 310 + 105 + 80) = 810
And, the number of teachers to be appointed = 17 (given)
Therefore, Standard Divisor = (810 / 17) = 47.647
- Standard Divisor: In Mathematics, standard divisor is the quotient of the total population divided by the number of seats (or other allocations) to be distributed.
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Answer:
cos²A - cosA - 6
Step-by-step explanation:
Given
(cosA + 2)(cosA - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
cosA(cosA - 3) + 2(cosA - 3) ← distribute both parenthesis
= cos²A - 3cosA + 2cosA - 6 ← collect like terms
= cos²A - cosA - 6
Answer:
The value of x in this equation is 8.
Step-by-step explanation:
5x - 1 = 6x - 9
Subtract 6x on both sides.
-x - 1 = -9
Add 1 to both sides.
-x = -8
Divide by -1 on both sides.
x = 8
