The correct answer is a. for very high x-values, f(x) moves towards positive infinity.
This can always be determined by two factors.
1) is it linear or something else?
2) Is the lead coefficient positive or negative.
In this case, since the x is not being raised to a power or is not raised to a power itself, we know that there are no asymptotes. That takes care of #1 for us.
As for #2, since the coefficient of x (which is the highest power here) is positive, that means it continues to get bigger. If it were negative it would be the opposite. So, the correct answer is that as x gets bigger, f(x) moves towards positive infinity.
Answer:
15.0
Step-by-step explanation:
Let's start by looking at triangle ORQ. Since RQ is tangent to the circle, we know that angle ∠ORQ is 90°. Then, since OR is equivalent to the radius of 5, RQ is 5√3, and side OQ is clearly larger than RQ, we can identify this as a 90-60-30 degree triangle. This makes side OQ have a length of 10, and angle ∠QOR, opposite of the second largest side, has the second largest angle of 60°, leaving ∠OQR with an angle of 30°.
The formula for the chord length is 2r*sin(c/2), with c being the angle between the two points on the circle (in this case, ∠QOR=∠NOR).. Our radius is 5, so the length of chord NR is 2*5*sin(60/2)=5, making our answer 5(ON)+5(OR)+5(RN)
Answer:
66%
Step-by-step explanation:
The method I use is putting 0/100 and 165/250 side by side. You multiply 100×165 and then divide that by 250.
So 16,500 ÷ 250 = 66
Well, the give us 1990-2006 as the time period. If you don't know how many years that is and don't feel like counting: 2006-1990=16
Then plug it in the equation t=16
E(t)=204(1.04)t
E(16)=204(1.04)16
E(16)=212.16•16
E(16)=3394.46
Answer:
4√3
Step-by-step explanation:
Use the acronym SOH CAH TOA and pick your angle. Im gonna pick the 30 degree angle. From the 30 degree angle, the x side is the hypotenuse, and the 2√3 is the opposite. I need to find H and O, which is the SOH part of my acronym.
Therefore Sin 30 = O/H. Then SIN 30 = 2√3/x.
We multiply both sides by x ⇒ x × sin 30 =2√3
Lastly we divide by sin 30. x = 2√3/ sin 30
We know that sin 30 is 1/2.
2√3 ÷ 1/2 (keep change flip) ⇒2√3 ×2 ⇒4√3
Sin 30 is equal to
