14x-21y+42 is the answer to this question.
Assume you mean 3x^2 when you typed the question.
3x^2+14x+16=0
(3x+8)(x+2)=0
x=-8/3 or -2
Find the common ratio by dividing.
16 / 8 = 2
8 / a = 2
2 / b = 2
The common ratio is 2.
Since we need to find the values of a and b, use the common ratio to solve for them.
8 / 2 = 4 (a)
2 / 2 = 1 (b)
Now, we know that first 5 terms.
We can solve for the 8th term using the previous terms and the common ratio.
6th term: 1 / 2 = 0.5
7th term: 0.5 / 2 = 0.25
8th term: 0.25 / 2 = 0.125
Part A: 2
Part B: a = 4, b = 1
Part C: 0.125
Best of Luck!
2.6 would be the proper answer to this question
A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
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a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
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c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
