Answer:

Step-by-step explanation:

hope this helps
brainliest appreciated
good luck! have a nice day!
14/4
Multiply the denominator and the whole number - 4*3=12
Add the numerator - 12+2=14
Put the answer over the denominator 14/4
Answer:

Step-by-step explanation:
The given differential equation is :
xy′−3y=6
We want to determine which of the following options is a solution to the differential equations.
The function that satisfies the differential equation is a solution.
We can verify that

satisfy this differential equation.
We differentiate to get:

We substitute the function and its derivative into the differential equation to get:

We expand and simplify on the left:

This simplifies to:

Verified.
We can show that all the other functions do not satisfy this differential equation
Answer:
The answer is below
Step-by-step explanation:
a) The graph is attached
b) The table shows a linear relationship between x and y.
A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.
x represent the distance on map in mm and y represent the actual distance in mile. The table (x, y) has the points (10, 25) and (20, 50). The equation is given by:

The slope m = 2.5. This means that for every 1 mm on the map, the actual distance increases by 2.5 miles.
c) y = 2.5x
put x = 48 mm
y = 2.5(48)
y = 120 miles
The actual distance between Toledo and Columbus is 120 miles
d) y = 2.5x
Put y = 225 miles
225 = 2.5x
x = 225/2.5
x = 90 mm
The distance on map between Cincinnati and Cleveland is about 90 mm.