A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of c, the constant, that sum to b, the coefficient of x. Our c is 100 and our b is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when x=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
Answer:
2 1/16
Step-by-step explanation:
(1/4)^2 + 2 = 1/16 + 2 = 33/16 = 2 1/16
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The answer is: (3) 5 and -5
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Answer:
Below in bold.
Step-by-step explanation:
The population P will increase by a factor of 1.32 each year.
The function is
P = 415(1.32)^t where t is the time in years.
After 5 years:
P = 415(1.32)^5 = 1663.