Answer:
a.) 
b.) therefore b = 
b is the rate of increase of number of members
c.) The club will not be able to get more than 5000 members during its first year.
Step-by-step explanation:
i) the club started with 2100 members.
so we can write
= 2100.
a.) so we can write the equation as an exponential function given by
where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .
therefore 2142 = 2100
= 2100
b.) therefore b = 
b is the rate of increase of number of members
c.) Will the club have more than 5000 members during its first year? Justify your reasoning.
5000 = 2100
therefore x = 
The club will not be able to get more than 5000 members during its first year.
Answer:
y = 10x + 15
Step-by-step explanation:
you pick two points on the line
I picked (3,45) and (6,75)
you subtract the two x’s and y’s
75 - 45 = 30 (30 is the rise) you go up from 45 to 75
6 - 3 = 3 (you move 3 times to the right to get to the 6) so 3 is the run
slope = rise/run so 30/3 = 10
The y-intercept is the place you start on the graph so that is 15
Please, use parentheses to enclose each fraction:
y=3/4X+5 should be written as <span>y=(3/4)X+5
Let's eliminate the fraction 3/4 by multiplying the above equation through by 4:
4[y] = 4[(3/4)x + 5]
Then 4y = 3x + 20
(no fraction here)
Let 's now solve the system
4y=3x + 20
4x-3y=-1
We are to solve this system using subtraction. To accomplish this, multiply the first equation by 3 and the second equation by 4. Here's what happens:
12y = 9x + 60 (first equation)
16x-12y = -4, or -12y = -4 - 16x (second equation)
Then we have
12y = 9x + 60
-12y =-16x - 4
If we add here, 12y-12y becomes zero and we then have 0 = -7x + 56.
Solving this for x: 7x = 56; x=8
We were given equations
</span><span>y=3/4X+5
4x-3y=-1
We can subst. x=8 into either of these eqn's to find y. Let's try the first one:
y = (3/4)(8)+5 = 6+5=11
Then x=8 and y=11.
You should check this result. Subst. x=8 and y=11 into the second given equation. Is this equation now true?</span>
Answer:
P = -12xy - 56y - 42x + 8
Step-by-step explanation:
P = 2L + 2W
P = 2(4 - 7(3x + 4y)) + 2(3x(-2y))
P = 8 - 14(3x + 4y) + 6x(-2y)
P = 8 - 42x - 56y - 12xy
P = -12xy - 56y - 42x + 8
What is the series you are referring too?