Answer:
Option b (4,1)
Step-by-step explanation:
The region given by the system of inequalities is shown in the graph. We must look within this region for the point that minimizes the objective function 
The minimum points are found in the lower vertices of the region.
These vertices are found by equating the equations of the lines::
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The lower vertices are:
(4, 1) (2, 4)
Now we substitute both points in the objective function to see which of them we get the lowest value of 
Then the value that minimizes f(x, y) is (4,1).
Option b
The total amount of x values of dimes and q values of quarters is equal to 6.35. From the given, the number of dimes may also be expressed as, 3q + 3. The equation that best represent the given is,
(3q + 3)(0.1) + q(0.1) = 6.35
(csc x-1)(csc x+1)=csc²x-1²=csc²x-1=(1/sin x)² -1=1/sin x² - sin²x/sin²x=
=(1-sin²x)/sin² x = cos² x/ sin² x = (cos x/sin x)²= (cot x)²
About 3.4% large according to the coordinates
Answer:
180 strips
Step-by-step explanation:
Note that:
1 yard = 36 inches
5 yards = x
Cross Multiply
x = 5 × 36 inches
x = 180 inches
Hence:
1 piece of fabric = 180 inches
How many 1-inch strips can be cut from the fabric?
180 inches = 1 piece of fabric
1 inch = x
x = 180 strips
