Answer:
x = 9 + 6i or x = 9 - 6i
Step-by-step explanation:
x² - 18x + 117 = 0
Complete the square and solve:
(x - 9)² - 81 + 117 = 0
(x - 9)² + 36 = 0
(x - 9)² = -36
x - 9 = ±sqrt(-36)
x - 9 = ±sqrt(-1).sqrt(36)
i = imaginary number = sqrt(-1)
x - 9 = ±6i
x = 9 ± 6i
There are no real solutions, only imaginary ones
9 + 6i and 9 - 6i
Answer:
C
Step-by-step explanation:
A function is constant when the y value does not change when the x value does
The function is constant during section C
A) =27.2
b) = 30.1
c) =31.2
d) =36.6
answer = D
Answer:
Step-by-step explanation:
57 lb bag for $ 11 or 1 lb bag for $ 0.41
11/51 = 0.215 .....rounds to 0.22 ......this is the correct way...... the student messed up and divided wrong.
the large bag only charges $ 0.22 per lb, whereas, the small bag charges $ 0.41 per lb.
Answer:
Smaller number-47.5
Larger number-52.5
Step-by-step explanation:
We will make the smaller number x. If the smaller number is x, then the larger number will be equal to x+5. We also know that when we add the two numbers, we get 100. We can make the equation
x+x+5=100
100-5=95
2x=95
95/2=47.5
x=47.5
The smaller number equals 47.5 and the larger number is 47.5+5 which equals 52.5
