The final equation is (x-5)^2 + (y+4)^2 = 10^2.
Hopefully this'll help you!
Solving for the polynomial function of least degree with
integral coefficients whose zeros are -5, 3i
We have:
x = -5
Then x + 5 = 0
Therefore one of the factors of the polynomial function is
(x + 5)
Also, we have:
x = 3i
Which can be rewritten as:
x = Sqrt(-9)
Square both sides of the equation:
x^2 = -9
x^2 + 9 = 0
Therefore one of the factors of the polynomial function is (x^2
+ 9)
The polynomial function has factors: (x + 5)(x^2 + 9)
= x(x^2 + 9) + 5(x^2 + 9)
= x^3 + 9x + 5x^2 = 45
Therefore, x^3 + 5x^2 + 9x – 45 = 0
f(x) = x^3 + 5x^2 + 9x – 45
The polynomial function of least degree with integral coefficients
that has the given zeros, -5, 3i is f(x) = x^3 + 5x^2 + 9x – 45
The new cost would be 19.55.
Explanation: 1. 23 * 0.15 = 3.45
2. 23 - 3.45= 19.55
1. Yes it shows proportional relationship because they go by 5.
2. okay.. so your answer choices are 3) 2, 4) 10, 5) -2, and 6) 8. I'M GONNA GUESS. it's going to be #3.
3. Okay so $100- 30 - 10 = $60 That means that each hat cost $6 dollars and he bought 10 of them so 10 times 6 equals 60.
4. they cost 4.50 because she bought ten of them so if you multiply 4.50 by ten you get 45 and she had 5 left over.
Hope this helped!
:)
Please tell me which ones were wrong and which ones were right!