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blsea [12.9K]
2 years ago
9

I need help on #10. very confused

Mathematics
1 answer:
RideAnS [48]2 years ago
3 0

Step-by-step explanation:

\displaystyle f'(x) = \lim_{h \to 0} \dfrac{f(x + h) - f(x)}{h}

\:\:\:\:\:\displaystyle = \lim_{h \to 0} \dfrac{(x+h)^2 -7 -(x^2 - 7)}{h}

\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{(x^2 +2hx + h^2 -7) - (x^2 -7)}{h}

\:\:\:\:\: \displaystyle= \lim_{h \to 0} \dfrac{2hx + h^2}{h}

\:\:\:\:\: \displaystyle= \lim_{h \to 0} (2x +h)

\:\:\:\:\: \displaystyle= 2x

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(x÷(y÷z))÷((x÷y)÷z)<br>also the variables are not specified.
Bumek [7]
The answer is:  z² .
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Given: <span>(x÷(y÷z))÷((x÷y)÷z) ;  without any specified values for the variables; 
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we shall simplify.
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We have: 
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</span>(x÷(y÷z))  /  ((x÷y)÷z) .
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Start with the first term; or,  "numerator":  (x÷(y÷z)) ;
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x  ÷ (y / z) = (x / 1) * (z / y) = (x * z) / (1 *y) =  [(xz) / y ] 
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Then, take the second term; or "denominator":
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((x ÷ y) ÷z ) = (x / y) / z =  (x / y) * (1 / z) = (x *1) / (y *z) = [x / (zy)]
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So (x÷(y÷z))  /  ((x÷y)÷z)  = (x÷(y÷z)) ÷  ((x÷y)÷z) =

 [(xz) / y ] ÷ [x / (zy)]  = [(xz) / y ] /  [x / (zy)] =
                                                                    [(xz) / y ] * [(zy) / x] ;
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                               The 2 (two) z's "cancel out" to "1" ; and
                                  The 2 (two) y's = "cancel out" to "1" ; 
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And we are left with: z * z = z² .  The answer is:  z² .
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4 0
3 years ago
F(x)=1/2(x-2)(x+3)^3
KatRina [158]

Answer:y=

1

2

x4+

7

2

x3+

9

2

x2+

−27

2

x−27

Step-by-step explanation:

5 0
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7 0
3 years ago
Charlie runs a book rental business. He currently charges $3 per book and rents out an average of 38 books a day. According to a
Degger [83]

Answer:

The equation that models this scenario b(x)=(3+0.5x)(38-4x)

Step-by-step explanation:

First we convert 50 cent into dollar,

1 cent =\frac{1}{100} dollar

1 cent = 0.01 dollar

50 cent = 0.5 dollar

According to question,

x is the number of 50¢=$0.5 price increases.

b(x) is the revenue generated

He currently charges $3 per book.

i.e. price of book = 3+0.5x

Quantity or average = 38 per day

According to a study, for every 50¢ increase in rental price, the average business can expect to lose 4 rentals a day.

i.e. quantity became 38-4x

Revenue = Price × Quantity

The required equation is given by,

b(x)=(3+0.5x)(38-4x)

8 0
3 years ago
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cestrela7 [59]

Answer:

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Step-by-step explanation:

Hope this helps :)

7 0
3 years ago
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