Answer:
- 16 acres of barley only (no acres of wheat)
Step-by-step explanation:
A graph shows cost of planting puts an upper limit on planted area. The lower limit is provided by the requirement to plant at least 15 acres. The vertices of the feasible solution region are ...
(wheat acres, barley acres) = {(0, 15), (0, 16), (3, 12)}
The profit associated with these scenarios will be ...
for (0, 16): 16·350 = 5600
for (3, 12): 3·450 +12·350 = 1350 +4200 = 5550
To maximize profit, the farmer should plant 16 acres of barley.
To expand two terms such as these, we can use the method called FOIL (stands for First, Outer, Inner, Last). Here is what I mean:
We have two terms: (x - 2)(x - 1)
We should first multiply the First two terms of each term in order to complete the F stage:
(x)*(x) =
So then, we take the two outer terms and multiply them together to complete the O stage:
(x)*(-1) = -x
So far we have two things that we have calculated; at the end of the FOIL process we will have four.
To keep going with the FOIL, we now multiply the two inner terms to complete the I stage:
(-2)*(x) = -2x
Last but not least, we need to complete the L stage - so we multiply the two last terms of each term:
(-2)*(-1) = 2
Now that we have our four terms, let us add them together and combine like terms:
Since -x and -2x both have the x portion in common and they are added together, we can add them to create one single term:
-x + (-2x) = -3x
So now that we have our terms completed, we can combine into one polynomial equation:
or
Answer:
66
Step-by-step explanation:
angle 1 and 4 are supplementary so the 2 added together equal 180. 180-124=56.
The sum of the triangles angles equal 180
180-56-58=66 which is the value of angle 2
Answer (<u>assuming it can be in slope-intercept form)</u>:
y = -x - 1
Step-by-step explanation:
When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.
1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, 
. I chose the points (0, -1) and (-1, 0):
Thus, the slope is -1.
2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.
3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:
Answer:
Area : 45 Perimeter : 2,025
Explanation:
Area: 5 times 9 equals 45. The 5 is the polygon’s base, the 9 is the polygon’s height.
Perimeter: 5 times 5 times 9 times 9 equals 2,025. Perimeter is base times base times height times height.
Glad I could help! :)
