Answer:
standard form is 6x−11y=13
Answer:
y =
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x - 7 ← is in slope- intercept form
with m = 
Parallel lines have equal slopes, thus
y =
x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = 1 + c ⇒ c = - 2 - 1 = - 3
y =
x - 3 ← equation of line
You must travel at 42 mph for 4 hours
<em><u>Solution:</u></em>
Time varies inversely as rate of motion
Let "t" be the time required
Let "r" be the rate of motion
Then, we get

Where, "k" is the constant of proportionality
<em><u>You travel 3 hours at a rate of 56 mph</u></em>
Substitute t = 3 and r = 56 in eqn 1

<em><u>Find the rate you must travel for 4 hours</u></em>
r = ? and t = 4
Substitute t = 4 and k = 168 in eqn 1

Thus you must travel at 42 mph for 4 hours
Answer:
Step-by-step explanation:
From your characteristic equation, your recursive equation is

the general solution:

The initial conditions are

For f(0) = 1, that is

For f(1) = 3, that is


From (*) and (**) you solve for A and B
you have A = 4/7 and B= 3/7
Replace A, B into the general one, you have the particular solution for the given condition

Answer:
$1787.625
Step-by-step explanation:
We first determine the interest earned in 6 months time using the simple interest formula;

The balance in the account will be;
1750 + 37.625 = $1787.625