Answer:
The present value of K is, 
Step-by-step explanation:
Hi
First of all, we need to construct an equation system, so
Then we equalize both of them so we can find 
To solve it we can multiply 
to obtain 
, then we have 
.
This leads to a third-grade polynomial 
, after computing this expression, we find only one real root 
.
Finally, we replace it in (1) or (2), let's do it in (1) 
The constant of proportionality is k = y/x.....k = 40/200 = 1/5
y = mx + b
slope(m) = 1/5
(200,40)...x = 200 and y = 40
now we sub...we r looking for b, the y int
40 = 1/5(200) + b
40 = 40 + b
40 - 40 = b
0 = b
so ur equation is : y = 1/5x
if pop star earned 800
800 = 1/5x
800 * 5 = x
4000 = x
It is 8.5, how you get it is simple. (Divide 102 by 24, then add 4.25 to that answer)
The graph of a cubic function has its ends in opposite direction.
A cubic function with positive coefficient rises towards right and falls towards left.
A cubic function with negative coefficient rises towards left and falls towards right.
The graph attached below shows the parent cubic function y = x³
Answer:
Add 1 to each side
Multiply each side by 4
Take the square root of each side
Subtract 5 from each side
Combine terms
Step-by-step explanation:
1/4(x+5)^2-1=3
Add 1 to each side
1/4(x+5)^2-1+1=3+1
1/4(x+5)^2=4
Multiply each side by 4
4*1/4(x+5)^2=4*4
(x+5)^2=16
Take the square root of each side
sqrt((x+5)^2)=±sqrt(16)
x+5 = ±4
Subtract 5 from each side
x+5-5 = -5 ±4
x = -5 ±4
Combine terms
x = -5+4 x = -5-4
x = -1 x = -9
