Given f (x) = 5x + 1, find f(0).
1 answer:
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The equation that models the number of funnel cakes and Oreos he can buy is 3.50x + 2.0y = 42
Data given;
- Cost of cakes = $3.50
- Cost of Oreos = $2.00
- The total amount spent = $42.00
To solve this problem, we just need to write out an equation to show how he can spend $42.00 in the fair on Oreos and Cakes.
Let x represent the cakes
Let y represent the Oreos
The equation is thus;
The equation that shows the number of Cakes and Oreos can by is
3.50x + 2.0y = 42
Learn more about equation here;
Answer:
- 0.5 + 2.985i
- 1 + 2.828i
- 1.5 + 2.598i
- 2 + 2.236i
Explanation:
Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.
Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.
The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:
Then, the work consists in finding pairs (a,b) for which:
You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:
I will use b =0.5, b = 1, b = 1.5, b = 2
Then, four distinct complex numbers that have an absolute value of 3 are:
- 0.5 + 2.985i
- 1 + 2.828i
- 1.5 + 2.598i
- 2 + 2.236i