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grandymaker [24]
3 years ago
14

I'm confused, can someone help me?

Mathematics
1 answer:
iragen [17]3 years ago
3 0

\bf \begin{array}{rll} \stackrel{standard}{notation}&\stackrel{scientific}{notation}\\ \cline{1-2} 7000&7\times 10^3\\ 700&7\times 10^2\\ 70&7\times 10^1\\\\ \boxed{7}&\boxed{7\times 10^0}\\\\ 0.7&7\times 10^{-1}\\ 0.07&7\times 10^{-2}\\ 0.007&7\times 10^{-3} \end{array}

recall, for the scientific notation, it has to be using some power of 10, and the exponent of the base 10, is how many slots you're away from the <u>decimal point</u>.  0.007 uses 10⁻³ because 7.0 or 7. when we make it 0.007, we have to move the decimal point from in front of the 7 3 slots over to the left.  Likewise, the 7000 is using 10³, because we moved the dot from 7. to 7000. , namely 3 slots to the right.

the missing value is there in the middle, notice is "7".

well, we can say that 7 is using 10⁰, however most of the time the 10⁰ is omitted and we settle for 7 alone, however scientific notation wise, that'd be it.

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Given that f(x) = x/(x - 3) and g(x) = 1/x and the application of <em>function</em> operators, f ° g (x) = 1/(1 - 3 · x) and the domain of the <em>resulting</em> function is any <em>real</em> number except x = 1/3.

<h3>How to analyze a composed function</h3>

Let be f and g functions. Composition is a <em>binary function</em> operation where the <em>variable</em> of the <em>former</em> function (f) is substituted by the <em>latter</em> function (g). If we know that f(x) = x/(x - 3) and g(x) = 1/x, then the <em>composed</em> function is:

f\,\circ\,g \,(x) = \frac{\frac{1}{x} }{\frac{1}{x}-3}

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f\,\circ\,g\,(x) = \frac{1}{1-3\cdot x}

The domain of the function is the set of x-values such that f ° g (x) exists. In the case of <em>rational</em> functions of the form p(x)/q(x), the domain is the set of x-values such that q(x) ≠ 0. Thus, the domain of f ° g (x) is \mathbb{R} - \{\frac{1}{3} \}.

To learn more on composed functions: brainly.com/question/12158468

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3 0
2 years ago
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ollegr [7]

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This means c=100. The factored form is (x+10)^2.

Step-by-step explanation:

A perfect square is a trinomial that factors into the form (x+a)^2. To find the value of C to finish the perfect square divide 20 by 2 and square it.

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This means c=100. The factored form is (x+10)^2.

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Step-by-step explanation:

Number of customers at Eva's boutique = 90

Number of customers who wore a size extra-large = 35

The probability that a randomly selected customer wore a size extra-large will be:

= Number of customers who wore a size extra-large / Number of customers at Eva's boutique

= 35 / 90

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Therefore, the probability that a randomly selected customer wore a size extra large is 7/18.

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2 years ago
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