Answer:
No
Step-by-step explanation:
Given values are
f(x) = 5x^3+60x^2+109x+90
x = -10.
Given Polynomial is 5x^3+60x^2+109x+90 .
= (90)+(5.x^3)+(60.x^2)+(109.x)
By putting x = (-10) we can rewrite it as
= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))
= (90)+(-5000)+(6000)+(-1090)
= 0
The remainder of given polynomial is 0.
Answer: 0.09523
Step-by-step explanation:
Answer:
<em>It will occur zero times between midnight and one o'clock.</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
Three events keep James from sleeping: his clock ticking every 20 seconds, a tap dripping every 15 seconds, and his dog snoring every 27 seconds.
All three events happened together at midnight. They will happen together again the first time the numbers 20, 15, and 27 have a common multiple. This is the LCM.
List the prime factors of each number:
20: 2,2,5
15: 3,5
27: 3,3,3
Now multiply all the factors the maximum number of times they appear:
LCM=2*2*3*3*3*5=540
(a) All the events will happen together again after 540 minutes.
(b) Since 540 minutes = 9 hours, this event won't happen again until 9 am. Thus, it will occur zero times between midnight and one o'clock.
Answer:
As x decreases without bound, f(x) increases without bound
As x increases without bound, f(x) approaches 0
Step-by-step explanation:
As x gets more and more negative f(x) gets bigger and bigger
f(x) = (7/10) ^ x but x is negative so flip it and then x is a larger number
(10/7) ^ large number so it will get larger
as → -∞ f(x) →∞
As x gets more and more positive f(x) gets smaller and smaller
f(x) = (7/10) ^ x closer and closer to 0. The denominator gets larger faster than the numerator = 1 / large number
as → ∞ f(x) →0
Answer:
she
Step-by-step explanation:
bc c
