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PIT_PIT [208]
3 years ago
6

-3/4-2/5 I need that answers

Mathematics
1 answer:
sdas [7]3 years ago
7 0

Answer: -23/20 or -1.15 or -1 3/20

Step-by-step explanation:

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135.6

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Let f(x)=7x+5 and g(x)=x-1. If h(x)=f(g(x)), then what is the inverse of h(x)
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Because of their connection with secant​ lines, tangents, and instantaneous​ rates, limits of the form ModifyingBelow lim With h
Gre4nikov [31]

Answer:

\dfrac{1}{2\sqrt{x}}

Step-by-step explanation:

f(x) = \sqrt{x} = x^{\frac{1}{2}}

f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}

We use binomial expansion for (x+h)^{\frac{1}{2}}

This can be rewritten as

[x(1+\dfrac{h}{x})]^{\frac{1}{2}}

x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}

From the expansion

(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots

Setting x=\dfrac{h}{x} and n=\frac{1}{2},

(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots

=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots

Multiplying by x^{\frac{1}{2}},

x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots

x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots

\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots

The limit of this as h\to 0 is

\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}} (since all the other terms involve h and vanish to 0.)

8 0
3 years ago
Help me pleasee;) ..
harkovskaia [24]
The answer for A . 2/3
The answer for B. 1 1/4


Explain


4 pound of flout / 6 loaves


4/6

The common for both number is 2


Divide by 2

4/2 = 2

6/2 = 3



And for b

Here the picture

Below

5 0
3 years ago
unit rate in real life can someone plz give a full thing with out saying what dose it mean if your going to say that say it in t
makkiz [27]

Answer:

if you mean like an example, cooking instructions, if they ask for a certain amount of time for this many of the item, but not the amount you want, you can use another example of time to find unit rate then figure out how long you need to cook it for with your desired number of items

Step-by-step explanation:

3 0
3 years ago
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