Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions 
and 
, which restricts the solution to be in the positive quadrant. Then we plot the first restriction 
shown in purple, then we can plot the second one 
shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
Answer:
The equation that represent x, the height of the sign is;
Step-by-step explanation:
Given that the area of the triangular yield is A square feet
and it has a base length of 3 feet.
also the height is represented by x;
Recall that the area of a triangle can be written as;
substituting the given;
Therefore, the equation that represent x, the height of the sign is;
Answer:
0.03A + 0.03B = 800
A + B = 20000
Step-by-step explanation:
Let one part A of the total money invested with 3% interest = $A
Therefore, other part B of the money invested with 5% interest = $B
Interest = Principal amount × Rate of interest × Duration of investment
If the duration is 1 year,
Interest = Principal amount × Rate of interest
Return on part A = A × 0.03
Return on part B = B × 0.05
Total return = $800
So the equations will be,
0.03A + 0.03B = 800 -------(1)
Since, total money invested = $20000
Equation will be,
A + B = 20000 -------(2)
Answer:
Step-by-step explanation:
Find attached the first sum.
x denotes horizontal and y denotes vertical
When the value of x is positive, it moves to right side and when x is negative, it moves left sides 'x unit'
When the value of y is positive, it moves to up side and when y is negative, it moves down sides 'y unit'
The required distance walked by Jane diagonally is 105.7 meters.
Given that,
A football pitch is 97 m long and 42 m wide. Bill walks from one corner to another around the outside. Jane walks diagonally across the pitch. How much further Bill walk is to be determined.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Length = 97
Width = 42
Diagonal = 
Diagonal = 105.7 meters.
Thus, the required distance walked by Jane diagonally is 105.7 meters.
Learn more about simplification here: brainly.com/question/12501526
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