Answer:
Graphic is showed in the figure below
Step-by-step explanation:
To graph the equations given, let's do a table for positive values of x, and, by replacing it in the equation, let's calculate the value of y. Knowing the coordinate points (x,y) we can build the graphic.
<em>x y= x + 1/x² y = 1/x</em>
1 2 1
2 2.25 0.2
3 3.11 0.33
4 4.06 0.25
When x->0 both equations -> ∞, because lim(1/x) x->0 = ∞
The graphic is showed below. In red there is y = 1 + 1/x² and in blue y = 1/x
Answer:
The Answer is 4.79
Step-by-step explanation:
All you have to do Divide 33.53 by 7 then you would get 4.79
I say divide because they want to know how much it one gallon of milk costs So that is why you have to divide
Hope I Helped! :3
The answer is the first data set because remember, an outlier is a number in a data set that is extremely far away from all of the other numbers.
You can easily tell which one is the outlier, the first data set's outlier is 13, because it is was placed so far away from the other data points.
We know that the first data set is correct because all of the other data sets have numbers that are clustered together.
~Hope I helped!~
Answer:
84 = 7×12
84 = 3×4×7
84 = 2×2×3×7
Step-by-step explanation:
84 = 7 × 12 ( the factors of 12 are 3×4)
so 84 = 3×4×7 ( the factors of 4 are 2×2)
so 84 = 2x2x3x7
I hope it helps you!
Answer:
4.
°
Step-by-step explanation:
Given:
The tangent of the angle is given as:
![\tan (-212\°)](https://tex.z-dn.net/?f=%5Ctan%20%28-212%5C%C2%B0%29)
Since the angle is negative, it means that it is measured in the clockwise direction as angles measured in clockwise direction are negative and that measured in counter clockwise directions are positive.
-212° when measured from counter clockwise direction will be equal to:
![-212\°(Clockwise)=360-212=148\°(CCW)](https://tex.z-dn.net/?f=-212%5C%C2%B0%28Clockwise%29%3D360-212%3D148%5C%C2%B0%28CCW%29)
Therefore,
= ![\tan (148\°)](https://tex.z-dn.net/?f=%5Ctan%20%28148%5C%C2%B0%29)
Now, we have the identity for tan as:
![\tan(\pi-\theta)=-\tan \theta](https://tex.z-dn.net/?f=%5Ctan%28%5Cpi-%5Ctheta%29%3D-%5Ctan%20%5Ctheta)
Here, ![\theta=148\°](https://tex.z-dn.net/?f=%5Ctheta%3D148%5C%C2%B0)
Therefore,
![-\tan (148\°)=\tan(180-148)\\-\tan(148\°)=\tan(32\°)\\\textrm{Multiplying both sides by -1, we get:}\\-1(-\tan(148\°)=-1\times \tan(32\°)\\\\\tan(148\°)=-\tan(32\°)](https://tex.z-dn.net/?f=-%5Ctan%20%28148%5C%C2%B0%29%3D%5Ctan%28180-148%29%5C%5C-%5Ctan%28148%5C%C2%B0%29%3D%5Ctan%2832%5C%C2%B0%29%5C%5C%5Ctextrm%7BMultiplying%20both%20sides%20by%20-1%2C%20we%20get%3A%7D%5C%5C-1%28-%5Ctan%28148%5C%C2%B0%29%3D-1%5Ctimes%20%5Ctan%2832%5C%C2%B0%29%5C%5C%5C%5C%5Ctan%28148%5C%C2%B0%29%3D-%5Ctan%2832%5C%C2%B0%29)
Hence,
=
=
°