The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,
3² + b(3) + c = 0
3b + c = -9 --> eqn 1
(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2
Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5
Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5
Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.
Answer:
Step-by-step explanation:
<em>1).</em>
(a). Yes, the graph is linear.
(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2
<em>2).</em> Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)
The correct answer is 400 ounces.
There are 16 ounces in 1 pound so you’d multiple 16 by 25
Answer:
24
Step-by-step explanation:
3x5=15
15+9=24
Step-by-step explanation:
First of all, use substitution to find slope
(1) = m(3) - 2
3 = m3
m = 1
With both the slope and y int, you can write it in y int form
y = 1x - 2
Convert that to standard form
-x + y = -2
