Answer:
The factored form of the polynomial is 11*(x+2)*(x-5/11). The root found was r = -2
Step-by-step explanation:
If you take a positive value of x, you will most likely obtain positive results, since 11x² + 17x ≥ 11 + 17 = 28 for x ≥1, which means that 11x²+17x-10 ≥ 28-10 = 18 > 0.
Therefore, we prove with negative values.
- x = -1: 11*(-1)²+17*(-1) - 10 = -16
- x = -2: 11*(-2)² + 17*(-2) - 10 = 44-34-10 = 0
Therefore, -2 is a root. We can find the other knowing that
p(x) = 11*(x-r₁)*(x-r₂) = 11*(x-(-2)) * (x-r₂) = 11*(x+2)*(x-r₂)
The independent term is 11*2*(-r₂) = -22r₂ = -10
thus, r₂ = -10/-22 = 5/11.
Therefore, p(x) = 11*(x+2)*(x-5/11)
Answer:
How to find the mode
Step-by-step explanation:
First, put the numbers in order from lowest to highest. The number that shows up the most is the mode. The most common number is 5.
Your mode would be 5.
Good luck :)
Answer:
Volume A = 4/3 x pi x r^3 = 4/3 x 3.14 x 13^3 = 9198.11 cubic inches
Volume B = 4/3 x pi x r^3 = 4/3 x 3.14x 7.5^3 = 1766.25 cubic inches
Diameter = 13 in
Step-by-step explanation:
Jack is 10 blocks away from the school
Answer:
A) ≈22.4 concert attendees might have left early.
B) 605 attendees might leave early.
Step-by-step explanation:
A) 11/100, or 11%, of the sample left early.
11% of all the concert attendees is (11/100) × 2040 ≅ 22.4
attendees who might have left early.
B) 11% of the total attendance is 11% × 5500 = 605 attendees who might
leave early.