Answer:
J: x - 2y = -8
Step-by-step explanation:
All you have to do is plug in x or y as 0 for the y-intercept and the x-intercept, respectively. But, for these specific equations, looking at the constant when y isn't multiplied by any number but 1 will show the y-intercept. (e.g. 2x + y = -12, -12 is the y-intercept, 2x - y = -20 -> -2x + y = 20, 20 is the y-intercept)
F: y-intercept = -12 (incorrect)
G: y-intercept = 0 (incorrect)
H: y-intercept = 20 (incorrect)
J: y-intercept = 4 (correct)
Answer:
Open dot on 4 with arrow going to the right.
Step-by-step explanation:
4 is open because it is not part of the set.
Let
![f(x)=\sec^{-1}x](https://tex.z-dn.net/?f=f%28x%29%3D%5Csec%5E%7B-1%7Dx)
. Then
![\sec f(x)=x](https://tex.z-dn.net/?f=%5Csec%20f%28x%29%3Dx)
, and differentiating both sides with respect to
![x](https://tex.z-dn.net/?f=x)
gives
![(\sec f(x))'=\sec f(x)\tan f(x)\,f'(x)=1](https://tex.z-dn.net/?f=%28%5Csec%20f%28x%29%29%27%3D%5Csec%20f%28x%29%5Ctan%20f%28x%29%5C%2Cf%27%28x%29%3D1)
![f'(x)=\dfrac1{\sec f(x)\tan f(x)}](https://tex.z-dn.net/?f=f%27%28x%29%3D%5Cdfrac1%7B%5Csec%20f%28x%29%5Ctan%20f%28x%29%7D)
Now, when
![x=\sqrt2](https://tex.z-dn.net/?f=x%3D%5Csqrt2)
, you get
![(\sec^{-1})'(\sqrt2)=f'(\sqrt2)=\dfrac1{\sec\left(\sec^{-1}\sqrt2\right)\tan\left(\sec^{-1}\sqrt2\right)}](https://tex.z-dn.net/?f=%28%5Csec%5E%7B-1%7D%29%27%28%5Csqrt2%29%3Df%27%28%5Csqrt2%29%3D%5Cdfrac1%7B%5Csec%5Cleft%28%5Csec%5E%7B-1%7D%5Csqrt2%5Cright%29%5Ctan%5Cleft%28%5Csec%5E%7B-1%7D%5Csqrt2%5Cright%29%7D)
You have
![\sec^{-1}\sqrt2=\dfrac\pi4](https://tex.z-dn.net/?f=%5Csec%5E%7B-1%7D%5Csqrt2%3D%5Cdfrac%5Cpi4)
, so
![\sec\left(\sec^{-1}\sqrt2\right)=\sqrt2](https://tex.z-dn.net/?f=%5Csec%5Cleft%28%5Csec%5E%7B-1%7D%5Csqrt2%5Cright%29%3D%5Csqrt2)
and
![\tan\left(\sec^{-1}\sqrt2\right)=1](https://tex.z-dn.net/?f=%5Ctan%5Cleft%28%5Csec%5E%7B-1%7D%5Csqrt2%5Cright%29%3D1)
. So
Answer:
15*3*2
15*1*6
45*2*1
10*3*3
6*5*3
Step-by-step explanation:
Volume=Lenth *Width*Height divieded by 3
Answer:
$3.23
Step-by-step explanation:
1.71 ÷ 18 = 0.095 = 9.5%
9.5% × 34 = 3.23