Answer:
C. 70 = 10x
E. 15x = 105
Step-by-step explanation:
x = 7
Using method of elimination;
A. X + 7 = 17
Substituting the value of x;
7 + 7 ≠ 17 (Incorrect option)
B. 7 = 17 - x
Substituting the value of x;
7 ≠ 17 - 7 (Incorrect option)
C. 70 = 10x
Substituting the value of x;
70 = 10 * 7 (Correct option)
D. X/35 = 5
Substituting the value of x;
7 / 35 ≠ 5 (Incorrect option)
E. 15x = 105
Substituting the value of x;
15 * 7 = 105 (Correct option)
Their is a 50% Chance they will land on the same number
Answer:
x=1/2, y=-2. (1/2, -2).
Step-by-step explanation:
4x-2y=6
y=-2x-1
-------------
4x-2(-2x-1)=6
4x+4x+2=6
8x+2=6
8x=6-2
8x=4
x=4/8
simplify
x=1/2
y=-2(1/2)-1
y=-2/2-1
y=-1-1
y=-2
Answer:
1. ![(f^{-1}og^{-1}) (x) = \sqrt{x^{2}+3 }](https://tex.z-dn.net/?f=%28f%5E%7B-1%7Dog%5E%7B-1%7D%29%20%28x%29%20%3D%20%5Csqrt%7Bx%5E%7B2%7D%2B3%20%7D)
2. ![(f o g)^{-1} (x) = x + 3](https://tex.z-dn.net/?f=%28f%20o%20g%29%5E%7B-1%7D%20%28x%29%20%3D%20x%20%2B%203)
Step-by-step explanation:
f(x) =
+ 1
putting f (x) = y
y =
+ 1
= ( y-1)
x = ![(y - 1)^{\frac{1}{2} }](https://tex.z-dn.net/?f=%28y%20-%201%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D)
Therefore =
= ![(x-1)^{\frac{1}{2} }](https://tex.z-dn.net/?f=%28x-1%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D)
g (x) = ![\sqrt{x-4}](https://tex.z-dn.net/?f=%5Csqrt%7Bx-4%7D)
putting g(x) = y
y = ![\sqrt{x-4}](https://tex.z-dn.net/?f=%5Csqrt%7Bx-4%7D)
= (x-4)
x = ![y^{2} + 4](https://tex.z-dn.net/?f=y%5E%7B2%7D%20%2B%204)
![g^{-1} (x) = x^{2} + 4](https://tex.z-dn.net/?f=g%5E%7B-1%7D%20%28x%29%20%3D%20x%5E%7B2%7D%20%2B%204)
(
o ![g^{-1}) x](https://tex.z-dn.net/?f=g%5E%7B-1%7D%29%20x)
![(g^{-1}x -1)^{\frac{1}{2} } = \sqrt{x^{2} +3}](https://tex.z-dn.net/?f=%28g%5E%7B-1%7Dx%20-1%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%20%5Csqrt%7Bx%5E%7B2%7D%20%2B3%7D)
2. (f o g)(x) = (√x-4)²+1) = x-4+1
(f o g)(x) = x-3
Let y = x - 3
x = y + 3
Or ![(f o g)^{-1}(x) = x + 3](https://tex.z-dn.net/?f=%28f%20o%20g%29%5E%7B-1%7D%28x%29%20%3D%20x%20%2B%203)
Answer:
2; you have 2 and 3/4 and you're taking away 3/4, so you're left with 2