What is the solution of the system? Use any method. 3x + 2y = 7 y = –3x + 11
1 answer:
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F(-1)= -3 is (-1,-3) and f(2) = 6 is (2,6) where f(x) = y
y=mx + b is the slope-intercept form whereas m equals the slope (rate of change) and b equals the y-intercept (initial amount/what y is when x is 0.)
First, we need to find the slope between the two points (-1,-3) and (2,6). To find the slope we could use one of it's formulas
.
1. (-1,-3)
2. (2,6)
→ 
→ 
The slope is 3 (). Thusly, y = 3x + b
To find out the y-intercept, we can reverse the slope. [Note: This is in 
where rise is 'y' and run is 'x'. Reversed would be 
]. Take the second ordered pair and use our reversed slope on it until we get 0 for x.
(2, 6) ⇒ (2 - 1, 6 -3) ⇒ (1, 3) ⇒ (0,0)
Y-intercept is 0. Therefore, y= 3x + 0 [NOTE: y = f(x), so if you want it in function notation form it's just f(x) = 3x + 0.]
y=mx + b is the slope-intercept form whereas m equals the slope (rate of change) and b equals the y-intercept (initial amount/what y is when x is 0.)
First, we need to find the slope between the two points (-1,-3) and (2,6). To find the slope we could use one of it's formulas
1. (-1,-3)
2. (2,6)
The slope is 3 (
To find out the y-intercept, we can reverse the slope. [Note: This
(2, 6) ⇒ (2 - 1, 6 -3) ⇒ (1, 3) ⇒ (0,0)
Y-intercept is 0. Therefore, y= 3x + 0 [NOTE: y = f(x), so if you want it in function notation form it's just f(x) = 3x + 0.]
Answer:
Step-by-step explanation:
This is a homogeneous linear equation. So, assume a solution will be proportional to:
Now, substitute into the differential equation:
Using the characteristic equation:
Factor out
Where:
Therefore the zeros must come from the polynomial:
Solving for :
These roots give the next solutions:
Where and
are arbitrary constants. Now, the general solution is the sum of the previous solutions:
Using Euler's identity:
Redefine:
Since these are arbitrary constants
Now, let's find its derivative in order to find and
Evaluating :
Evaluating :
Finally, the solution is given by:
Answer:
Step-by-step explanation:
<em>Hey there!</em>
Well if the length is 18 and 3 inches we need to find the sum of both lengths,
18ft 3in + 18ft 3in = 36ft 6in
Width- 10ft 8in + 10ft 8in = 20ft 16 in -> 21ft 4in
l + w = 57ft 10in
<em>Hope this helps :)</em>