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3 years ago

If y varies inversely as x and y = 8 when x = 9, find x when y = 12.

Mathematics

1 answer:

myrzilka [38]3 years ago

5 0

Answer:

x = 6

Step-by-step explanation:

An inverse variation is

xy = k where k is the constant of variation

8*9 = k

72 = k

xy = k

Let y = 12

x*12 = 72

Divide each side by 12

12x/12 =72/12

x = 6

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Explain the role of the GCF in factoring a polynomial.

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3 years ago

X<= -2 on a number line

ruslelena [56]

Answer:

$x\le \:-2\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-2\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-2]\end{bmatrix}$

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The number line clearly indicates that the graph is heading towards negative infinity from -2.

Step-by-step explanation:

Given the inequality expression

x ≤ -2

The inequality symbol ' ≤ ' means 'less than or equal to'.

Thus,

x ≤ -2 means x is less than or equal to -2.

In other words,

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Please check the attached number line graph.

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3 years ago

Wich expression best estimates - 18 1/4 divided by 2 2/3

yKpoI14uk [10]

-18/3

18/(-3)

<h2>Explanation:</h2>

The complete question is as follows:

________________________________________________

Which expression best estimates -18 1/4 divided by 2 2/3?

18/3

-18/3

-18/(-3)

18/(-3)

________________________________________________

So in this exercise, we have two mixed fractions. This type of fractions comes from the combination of a whole number and a proper fraction fraction (numerator less than denominator). In order to solve this problem, we need to transform these mixed fractions into improper fractions (numerator greater than denominator). So:

$-18 \frac{1}{4}=-\left(18+\frac{1}{4}\right) \\ \\ Cross \ Multiplication\ -\left(\frac{18\times4+1}{4}\right) \\ \\ Solving \ numerator \ -\frac{72+1}{4} \\ \\ Simplifying \ -\frac{73}{4}$

$2 \frac{2}{3}=2+\frac{2}{3} \\ \\ Cross \ Multiplication\ \frac{2\times 3+2}{3} \\ \\ Solving \ numerator \ \frac{6+2}{3} \\ \\ Simplifying \ \frac{8}{3}$

By dividing:

$\frac{-\frac{73}{4}}{\frac{8}{3}} \\ \\ It's \ the \ same \ as: \\ \\ -\frac{73\times 3}{8\times 4}=-\frac{219}{32} \approx -6.84$

<em>So the expressions that best estimates -18 1/4 divided by 2 2/3 are:</em>

<em>Whose value in decimal form is -6.0</em>

<h2 /><h2>Learn more:</h2>

Estimate the distance between cities: brainly.com/question/12062666

#LearnWithBrainly

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3 years ago