Answer:
-6p - 10 or -10 - 6p
Step-by-step explanation:
-12 - 6p - (-2)
= -12 - 6p + 2
= -6p - 10 or -10 - 6p
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Product of 4 and a number translates to 4x because the word product means multiplication.
We then need to subtract one from that which would be 4x - 1.
The word is translates to "equals" so 4x - 1 = 11 is the translation of the whole problem.
Now solve that equation.
4x - 1 = 11
1st add +1 +1
2nd simplify 4x = 12
3rd divide. 4 4
x = 3
Proportional equations are the equations that have the graph which pass through (0,0).
y = -9x is proportional.
y=x is proportional
y=1/2x is proportional
That's it. Only these three equations have (0,0) intercept.
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, ∞)
X-intercept => 2x = 6 => x = 3
x-intercept is 3.
y-intercept => 3/2y = 6 => y = 4
y-intercept is 4.
z-intercept => 3z = 6 => z = 2
z-intercept is 2.