Answer:
BONUS: At the end of the harvest season, Omar wonders if it is time to cover the garden with a tarp. He understands that as the temperature decreases, … moisture in the air condenses into dew which freeze at 0°C and may damage the plants in the garden. At 4:00 P.M., the temperature is 5°C.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A standard form equation is when it is set up
Ax + By = C.
6x + 2y = 4
A slope-intercept form equation is when it is set up y=mx+b.
Y = - 3x + 2
In order to go from one form to another, all you have to do is change the order of the given numbers. First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it. At this point your equation will be set up By = -Ax + C. Then you want to divide the B from the By and the rest of the equation. Therefore you will have y = - Ax/B + C/B. This is the same thing as the slope-intercept form, just a few of the letters are different.
Example 1:
Change from standard to slope form
8x + 4y = 16
8x + 4y = 16 first subtract 8x
4y = -8x + 16 then divide all by 4
y = -2x + 4 slope form
Example 2:
6x + 3y = 21
6x + 3y = 21 subtract 6x
3y = -6x + 21 then divide all by 3
y = -2x + 7 slope form
T=10.8, was the multiplication Symbol a part of the quest
Let us first find the equation for the distance as a function of time in the form:
d=mx+b
m=(d2-d1)/(x2-x1)
m=(2160-2700)/(1-0)
m=-540
d=-540x+b, using point (0,2700) we can solve for b
2700=-540(0)+b
2700=b so
d(x)=-540x+2700
A) The y-intercept is the constant of our distance function (the distance when x, time, equals zero). In this case d=2700 is the y-intercept. This means that the initial distance from the destination was 2700 miles.
B) Since this is just a line and has a constant velocity, its average velocity will just be the constant velocity or slope. But mathematically we could show this to be true. Average velocity is change in distance divided by change in time.
v=(540-2160)/(4-1)
v=-1620/3
v=-540 mph
C)
The domain of a function is the possible x values in the proper context. First time cannot be less than 0. The other extreme for time is when the plane reaches its destination, when d=0, which is when:
-540x+2700=0
540x=2700
x=5.
So the plane reaches its destination after 5 hours. So the domain, the x values, for d=-540x+2700 is
x=[0,5]
The answer to this question is 5589
