Answer:
The roots of the polynomial are;
3 + 2i
and 3-2i
Step-by-step explanation:
Here, we want to solve the given polynomial using the completing the square method
We start by dividing through by 8
This will give;
x^2 - 6x = -13
To complete the square, we simply divide the coefficient of x by 2 and square it
We have this as -6/2 = -3
square it;; = (-3)^2 = 9
Add it to both sides
x^2 - 6x + 9 = -13 + 9
x^2 - 6x + 9 = -4
(x-3)^2 = -4
Find the square root of both sides
x-3 = ±2i
x = 3 + 2i
or x = 3-2i
Simplify the expression.
25x6−4
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Answer:
C
Step-by-step explanation:
When we talk of rate of change, we talk of the slope of the line
If we had a line;
y = mx + b
m is the slope ( which is the rate of change)
To get the slope of the line, we select any two points on the line and apply the slope formula
m = y2-y1/x2-x1
let us take points (0,0) and (3,9)
m = 9-0/3-0 = 9/3 = 3
The slope here is 3
so from the option, we can see that the third option is the correct answer
Answer:
A = 5.5t + 9
Step-by-step explanation:
We assume that the relationship between t and A is linear.
We have two points on a line: (2, 20) and (4, 31).
We now find the equation of the line.
A = mt + b
m = (31 - 20)/(4 - 2) = 11/2 = 5.5
20 = 5.5(2) + b
20 = 11 + b
b = 9
A = 5.5t + 9
