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Mamont248 [21]
3 years ago
7

Is the slope positive, negative, undefined, or zero?

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
4 0

Answer:

can you do elaborate please

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If g (x) = 1/x then [g (x+h) - g (x)] /h
lys-0071 [83]

Answer:

\dfrac{-1}{x(x+h)}, h\ne 0

Step-by-step explanation:

If g(x) = \dfrac{1}{x}, then g(x+h) = \dfrac{1}{x+h}. It follows that

  \begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \cdot [g(x+h) - g(x)] \\&= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\end{aligned}

Technically we are done, but some more simplification can be made. We can get a common denominator between 1/(x+h) and 1/x.

  \begin{aligned} \\\frac{g(x+h)-g(x)}{h} &= \frac{1}{h} \left( \frac{1}{x+h} - \frac{1}{x} \right)\\&=\frac{1}{h} \left(\frac{x}{x(x+h)} - \frac{x+h}{x(x+h)} \right) \\ &=\frac{1}{h} \left(\frac{x-(x+h)}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{x-x-h}{x(x+h)}\right) \\ &=\frac{1}{h} \left(\frac{-h}{x(x+h)}\right) \end{aligned}

Now we can cancel the h in the numerator and denominator under the assumption that h is not 0.

  = \dfrac{-1}{x(x+h)}, h\ne 0

5 0
3 years ago
The area of the base is 34 cm². The height is 7 cm. What is the volume.
Digiron [165]

Answer:

238cm³

Step-by-step explanation:

8 0
3 years ago
Find the inverse function. f(x) = Vx - 1+4​
seraphim [82]

Answer:

f^-1(v)=v/x-3/x

Step-by-step explanation:

4 0
2 years ago
Discussion topic
Molodets [167]

Answer:

Step-by-step explanation:

More than anything else, Algebra is a procedure. It has rules and axioms which when followed produce answers to problems -- problems that may not yield anything without Algebra.

These axioms and rules are familiar to anyone who has taken a course in advanced Mathematics. So each person who knows the procedure knows also how mathematics can work. It is a universal language spoken by those trained in what it offers to the education of both the "sender" and the "receiver."

3 0
2 years ago
An item is regularly priced at $69. David bought it at a discount of 55% off the regular price. How much did David pay?
zysi [14]

Answer:

37.95

Step-by-step explanation:

55% of $69

so 0.55 x 69 = 37.95

8 0
3 years ago
Read 2 more answers
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