−8x + 4y = 24 -- (1)
−7x + 7y = 28 -- (2)
Eqn (1) & (2) are simplified as
y - 2x = 6 -- (3)
y - x = 4 -- (4)
By making y the subject of formula in (4), we have
y = x + 4 -- (5)
Substitute x + 4 for y in (3), then
x + 4 - 2x = 6
x - 2x = 6 - 4
- x = 2
x = - 2.
Substitute - 2 for x in (5), then
y = - 2 + 4
y = 2.
Therefore, (x, y) = (- 2, 2) ...Ans.
Answer:
x = 1
Step-by-step explanation:
plug y = 6 on to the equation y =x + 5
=> 6 = x +5
=> x = 1
Answer:
[-5, 4) ∪ (4, ∞)
Step-by-step explanation:
Given functions:


Composite function:
![\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%28f%5C%3Ao%5C%3Ag%29%28x%29%26%3Df%5Bg%28x%29%5D%5C%5C%20%26%20%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7Bx%2B5%7D-3%7D%20%5Cend%7Baligned%7D)
Domain: input values (x-values)
For
to be defined:


Therefore,
and 
⇒ [-5, 4) ∪ (4, ∞)
Answer:
It takes 32 Minutes for 12 people to paint 12 walls
Step-by-step explanation:
If it takes 8 people 32 minutes to paint 8 walls, then that means each person takes 32 minutes to paint 1 wall. With that being said, If you have 12 people painting 12 walls, It will take 32 minutes for all 12 walls to be painted.
Hope this helps!