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Anettt [7]
3 years ago
15

When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations?

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0
<span>The answer is:  [C]:  
__________________________________________________________
Multiply each side by −8, subtract 35 from each side.

___________________________________________________________
Explanation:
___________________________
Given: You have (-1/8)*(x + 35) = -7
________________________________________
Note that all the answer choices given start with: "Multiply each side by...."; 
</span>____________________
Given the choices, multiplying EACH SIDE of the equation by "(-8)" would make sense, since doing would cancel the "(-1/8)" on the "right-hand side" of the equation above to a "1" (i.e "cancel out" that ("-1/8") value); and would result in making the "right side" of the equation above ("-7") a positive integer number. 
 Then you would be left with:  x + 35 = 56 ; so the next step would be to:
__________
Subtract: "(35)" from each side of the question [hence the answer choice] to isolate "x" on one side of the equation; and to solve for "x".
_______________________________________________________
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Step-by-step explanation:

According to the product rule of derivatives.

f'(x)=u'(x)v(x)+u(x)v'(x)

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here , u(x) = 4x - 3 and v(x)=x^2 + 9

Differentiate both sides with respect to x, we get

u'(x) = 4+0=4 and v(x)=2x +0=2x

[\because \dfrac{d(ax)}{dx}=a\ , \dfrac{d(a)}{dx}=0 \ \&\ \ \dfrac{d(x^n)}{dx}=nx^{n-1}]

Then, Tge derivative of  withe respect to x will be :

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=12x^2 - 6x+36

Hence, the derivative of the function is f'(x)=12x^2 - 6x+36 .

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