Answer:
y = 2x² + 16x + 11
Step-by-step explanation:
first foil (x + 4)² to get x² + 8x + 16
distribute 2 to get 2x² + 16x + 32
subtract 21 from 32
In this item, it is assumed that since the pattern is cut out of the paper which is usually a rectangle then, the shape of the pattern is also rectangle. The perimeter of the rectangle is,
P = 2L + 2W
The area is equal to,
Area = L x W
If we assume that length and width are equal, in order to maximize the space.
1600 cm² = L x L
The value of L from the equation is 40 cm.
Both angles have to be 90 so if you find the value for x for one you get the other one ahmatically answer is 22 btw :)
For this case, the first thing we want to do is substitute the value of y = 15 in the equation.
We have then:
15 = -0.08x ^ 2 + 1.6x + 10
Rewriting we have:
0 = -0.08x ^ 2 + 1.6x + 10 - 15
0 = -0.08x ^ 2 + 1.6x - 5
The solutions are:
x1 = 3.876275643042054
x2 = 16.123724356957947
Nearest whole number:
x1 = 4
x2 = 16
were about 15 tons of trout caught in the lake in the years:
1995 + 4 = 1999
1995 + 16 = 2011
Answer:
The year 1999 and the year 2011
