Evaluate the following expressions for a = -3,b=2,c=5
1 answer:
Hey!
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We know that (a = -3), (b = 2), (c = 5), and (d = -4).
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Solution #1:
≈ 1.57
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Solution #2:
= a - 4b / 3c + 2d
= (-3) - 4(2) / 3(5) + 2(-4)
= (-3) - 8 / 15 + (-8)
= (-3) - 0.53 + (-8)
= (-3.53) + (-8)
= -11.53
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Solution #1 Answer: 1.57
Solution #2 Answer: -11.53
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9514 1404 393
Answer:
(x, y) = (3, 7)
Step-by-step explanation:
If you divide the second equation by 2, it becomes ...
-x +2y = 11
Adding this to the first equation gives you the value of y:
(x -y) +(-x +2y) = (-4) +(11)
y = 7 . . . . . . . . simplify
The first equation can be rearranged to give an expression for x:
x = y -4
x = 7 -4 = 3
Then the solution is seen to be (x, y) = (3, 7).
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Personally, I like a graphing calculator for a quick and easy solution to many linear systems. (If the solutions are non-integers, it may not be so helpful.)
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Answer:
A. 0 ≤ n ≤ 7
B. the height after 0 days (the initial height in cm)
Step-by-step explanation:
<h3>A.</h3>The plant cannot be expected to continue its exponential growth curve, so a reasonable domain is the domain of the observations already made. The plant reached its height of about 11.26 cm after about 7 days. The reasonable domain for the growth function is ...
0 ≤ n ≤ 7
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<h3>B.</h3>The y-intercept corresponds to the n=0 value, the height of the plant at the start of the study.
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<em>Additional comment</em>
The value of n that gives f(n) = 11.26 can be found using logarithms.
11.26 = 8(1.05^n)
log(11.26/8) = n·log(1.05) . . . . . . divide by 8, take logs
n = log(11.26/8)/log(1.05) ≈ 7.00582
