f(1) = 4 is given
f(n) = f(n-1)-4 is the recursive step or rule
f(2) = f(2-1)-4 ... replace n with 2
f(2) = f(1) - 4
f(2) = 4-4 ... replace f(1) with 4
f(2) = 0
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Repeat for n = 3
f(n) = f(n-1)-4
f(3) = f(3-1)-4
f(3) = f(2) - 4
f(3) = 0 - 4 .... replace f(2) with 0, which is from f(2) = 0 found earlier
f(3) = -4
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Repeat for n = 4
f(n) = f(n-1)-4
f(4) = f(4-1)-4
f(4) = f(3) - 4
f(4) = -4-4 ... plug in f(3) = -4
f(4) = -8
<h3>Answer is -8</h3>
Answer:
11x - 8
Step-by-step explanation:
If you have x- + 5 - 13 + 12x, all we are doing is combining like terms. First, 5 - 13 = -8. Then, -x + 12x is the same as doing 12x - x. That gives us 11x. The answer would be 11x - 8 when you put -8 and 11x together in the expression.
The answer is 27 because the cubed root is 3
Answer:
x^2 - 10x + 25 = 17
Step-by-step explanation:
Please use " ^ " to denote exponentation:
x^2 - 10x = -8
x^2 - 10x + 25 = 17
x^2 - 10x + 25 = -8
x^2 - 10x - 25 = -33
Begin with x^2 - 10x = -8. Here's the process for completing the square:
1. Take half of the coefficient of x and square the result:
(1/2)(-10) = -5, and then (-5)^2 = + 25
2. Add this 25 to the first two terms of x^2 - 10x = -8 and also to the constant -8: x^2 - 10x + 25 = -8 + 25, or x^2 - 10x + 25 = 17
3. Match this result to one of the given possible answers. Turns out that the given possible answer matching our result is the first one:
x^2 - 10x + 25 = 17
Answer:
8) 10 m 9) 26 in 10) 51 m 11) 50 ft 12) 19.4 cm 13) 177.9 m 14) 40 15) 12 16) 14.7 17) 12.1
Step-by-step explanation:
You may solve the problems by using the Pythagorean Theorem which states that c^2 = a^2 + b^2, or in other words, the hypotenuse squared is equal to the sum of the legs squared.
Hope this helps! :-)