Answer:
The equation is;
y = 1/3x
Step-by-step explanation:
The equation of a linear model is given as;
y = mx + b
m is the slope while b is the y intercept
As we can see, the y intercept is the origin and that means b is zero
To get the value of m, the slope, we have to use the slope equation
We simply select any two points on the line
We have the points as (6,2) and (15,5)
The equation of the slope is:
m = (y2-y1)/(x2-x1)
(x1,y1) = (6,2)
(x2,y2) = (15,5)
m = (5-2)/(15-6) = 3/9 = 1/3
So the equation will be;
y = 1/3x
The answer is 60 Fahrenheit
Answer: P(blue) total number of squares / number of blue squares
(A)
Step-by-step explanation:
Answer:
See method below.
Step-by-step explanation:
m/n + n/3 = 2
2/m + n = 4
First eliminate the fractions by multiplying the first equation by 3n:-
3m + n^2 = 6n...........(1)
and the second equation by m:-
2 + mn = 4m..............(2)
Now we solve using substitution:-
From equation (2):-
4m - mn = 2
m = 2 / (4 - n)
Now substitute for m in equation (1):-
6/ (4 - n) + n^2 = 6n
6 + n^2(4 - n) = 6n(4 - n)
6 + 4n^2 - n^3 = 24n - 6n^2
n^3 - 10n^2 + 24n - 6 = 0
This will not factor so we could solve this using graphical software.
To find the values of the variable m we substitute the found values of n into one of the original equations and solve for m.
Answer:
The change in elevation is -134 ft
Step-by-step explanation:
Given;
initial depth of the submarine, d₁ = 235 ft
final depth of the submarine, d₂ = 101 ft
The change in the elevation of the submarine is given by;
Δd = d₂ - d₁
Δd = 101 ft - 235 ft
Δd = -134 ft
The change in elevation is negative because the submarine is moving closer to the surface.
Therefore, the change in elevation is -134 ft
