Step-by-step explanation:
5×6'3n=20
30'3n=20
3n=20-30
3n/3= -10/3
n= -3
the solutions to the related equation are 0,2,3 .
<u>Step-by-step explanation:</u>
Here we have , function f(x) = x3 – 5x2 + 6x . Graph of this function is given below . We need to find What are the solutions to the related equation . Let's find out:
Solution of graph means the value of x at which the value of f(x) or function is zero . We can determine this by seeing the graph as at what value of x does the graph intersect or cut x-axis !
At x = 0 .
From the graph , at x=0 we have f(x) = 0 i.e.
⇒ 
⇒ 
⇒ 
At x = 2 .
From the graph , at x=2 we have f(x) = 0 i.e.
⇒ 
⇒ 
⇒ 
At x=3 .
From the graph , at x=3 we have f(x) = 0 i.e.
⇒ 
⇒ 
⇒ 
Therefore , the solutions to the related equation are 0,2,3 .
Answer:

Step-by-step explanation:
Given:
Two points are given
x = number of minutes
y = length of the lin
⇒ (0, 6)
⇒ (20, 17)
We need to find the equation that represents the relationship between x, y.
Solution:
Using slope formula to find the slope of the equation of the line.

Substitute
= (0, 6) and
= (20, 17) in above equation.

So, slope of the line 
Using point slope formula.
------------(1)
Where, m = slope of the line
Substitute
⇒ (0, 6) and
in equation 1.


Add 6 both side of the equation.


Therefore, the equation that represents the relationship between x and y is written as:

I think it is 640.. What they mean is every inch equals 4 feet so you would multiply 8*4 and 5*4 then you get 32 and 20.. im sure you know area but just incase its base times height so 32*20=640