Answer:

Step-by-step explanation:
Let f(x) be the polynomial function of minimum degree with real coefficients whose zeros are 5, -3, and -1 + 3i be f(x).
By the complex conjugate property of polynomials, -1-3i is also a root of this polynomial.
Therefore the polynomial in factored form is 
We expand to get:
We expand further to get:\

Answer:
19) n = -14
20) x = 4
21) b= -14
22) x = 2
23) x = -1
24) x = -9
Step-by-step explanation:
19) Use the distributive property to get rid of the parentheses. You will get: 20-4n = 76. So, n = -14.
20) Multiply both sides of the equation by 2 to get: -8 + x = -4. So, x = 4
21) Add 3 to both sides to get:
= -1. So, b = -14
22) Use the distributive property to get rid of the parentheses. You will get: -40 - 5x = -50. Then, add 40 to both sides to get: -5x = -10. So, x = 2.
23) Use the distributive property to get rid of the parentheses. You will get: -72 = -64 + 8x. Then, add 64 to both sides to get: -8 = 8x. So, x = -1
24) Add 2 to both sides to get:
= -3. So, x = -9
Hope this helps :)
Answer:12
Step-by-step explanation:
there is 4 pounds total, and each package is 1/3 a pound, so 3 packages, (1/3x3)=3 so 3 x 4 for all packges= 12. Hope this helps!
Answer:
The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5). These have the same first coordinate and different second coordinates
A line perpendicular to the given line would have an opposite signed reciprocal slope. Since the slope of the given line is -1, then the perpendicular lines slope is 1.
Find b using y = mx + b or y - mx = b
-2 - 1(-2) = b
0 = b
The answer is y = x + 0 or y = x