Answer:
a.) 13 students
b.) 53 members
Step-by-step explanation:
a.) In the given equation of y=4x+13, "x" represents how many years have gone by since the club had started. The number "13" in this equation represents the y-intercept, or the value of "y" when x = 0. Therefore, when "x" is 0 years, there were 13 students in the clubs, meaning that the original group that started the club contained 13 students.
b.) Since the question asks how many members that the club will have after their tenth year and you already know that "x" in the equation y=4x+13 represents the number of years since the club started, all you have to do is plug 10 in for "x" in the equation; so, the equation will now look like this: y=4(10)+13. Keeping PEMDAS in mind, you first multiply 4 and 10 to get 40, and then you add 13 to get an answer of 53 members after year 10.
i) The given function is

The domain is all real values except the ones that will make the denominator zero.



The domain is all real values except, x=2.5.
ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.



iii) If we equate the numerator to zero, we get;


This implies that;

iv) To find the y-intercept, we put x=0 into the given function to get;
.
.
.
v)
The degrees of both numerator and the denominator are the same.
The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.
The horizontal asymptote is
.
vi) The function has no common factors that are at least linear.
The function has no holes in it.
vii) This rational function has no oblique asymptotes because it is a proper rational function.
Answer:
x-intercept : (0,0)
y-intercept : (0,0)
Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
Hope this helps you out! ☺
Answer:
The force exerted by the weight lifter is 81.7 N.
Step-by-step explanation:
We can find the force exerted by the weight lifter using the definition of work:
(1)
Where:
F: is the force
d: is the displacement
We have W = 9.8 J of work and d = 0.12 m, so by solving equation (1) for F we have:

Therefore, the force exerted by the weight lifter is 81.7 N.
I hope it helps you!
Answer:
(x, y - 6)
Step-by-step explanation: