What two numbers add to 13 but multiply to negative 12?
1 answer:
9514 1404 393
Answer:
13.8654599313 and -0.8654599313
Step-by-step explanation:
If one of the numbers is x, then the other is 13-x, and their product is ...
x(13 -x) = -12
x^2 -13x = 12 . . . . multiply by -1 and simplify
x^2 -13x +6.5^2 = 12 +6.5^2 . . . . complete the square
(x -6.5)^2 = 54.25
x -6.5 = √54.25
x = 6.5 +√54.25 ≈ 13.8654599313
and the other number is ...
13 -x = 13 -13.8654599313 = -0.8654599313
The two numbers are 13.8654599313 and -0.8654599313.
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Answer:
A: 85%, 2, 3.24,
B: covert numbers into percent
Step-by-step explanation:
<u>Part A</u>
We have:
, 2
, 85%, 3.24 --> let's convert them into percentages like the 85, to determine which one is greatest/least:
85% --> 85% (already a percent)
--> to convert into percent: (19÷4) x 100 = 475%
2 --> convert first into improper fraction then into percent: (11/5) x 100 = 220%
3.24 --> multiply by 100: 3.24 x 100 = 324%
From least to greatest: 85%, 220%, 324%, 475%
= 85%, 2, 3.24,
Part B:
In part A, to determine the numbers from least to greatest, we rewrote the numbers all into percentage form by first converting into decimal form and then multiplying by 100.