Answer: <span>w = [ y + 1] / [a + 2]
Solution step by step:
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1) given <span>formula: y-aw=2w-1
2) transpose aw and - 1
2w + aw = y + 1
3) common factor w:
w (a + 2) = y + 1
4) divide both sides by (a + 2):
w = [ y + 1] / [a + 2]
</span>
Answer:
g(1) = -65; g(n) = g(n-1) -15
Step-by-step explanation:
Using n = 1, 2, 3, we can find the first three terms of the sequence:
g(1) = -50 -15 = -65
g(2) = -50 -15(2) = -80
g(3) = -50 -15(3) = -95
The first term of the arithmetic sequence is -65, so that is g(1). Each next term is 15 less than the one before, so the recursive formula is ...
g(n) = g(n-1) -15
The complete recursive function definition requires both parts:
g(1) = -65
g(n) = g(n-1) -15
Answer:
31,250 ft²
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the ends of the rectangle will have dimesion (500-x)/2, and the total area will be ...
... A = x(500-x)/2
This function describes a parabola with zeros at x=0 and x=500. The vertex (maximum) will be located halfway between these, at x=250.
The maximum size pen has area ...
... A = 250(500 -250)/2 = 31,250 . . . . sq ft
Answer:
The options are not shown, so i will answer this in a general way.
When we have a number like:
0.7979....
The steps to writing it as a fraction are the following ones:
1) First, you need to notice the repeating decimals.
In this case is easy to see that the repeating decimals are two, 7 - 9
2)we can multiply this number by 10^n, where n is the number of repeated decimals, in this case n = 2
10^2 = 100
then:
0.7979...*100 = 79.7979...
Now we can subtract the original number:
79.7979... - 0.7979 = 79
And this is equivalent to have:
0.7979..*100 - 0.7979... = 0.7979..*99 = 79
Then we know that if we multiply our number by 99, the outcome will be an integer.
Then we can multiply and divide by the same number (this is equivalent to multiply by one) as follows:
0.7979...*1 = 0.7979..*(99)/(99) = (0.7979..*99)/99 = 79/99
Then:
0.7979... = 79/99