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2 years ago

Solve for x. A. 6/3 B. 5 C. 12 D. 12.5

Mathematics

1 answer:

belka [17]2 years ago

3 0

Answer:

x=12

Step-by-step explanation:

Using Proportion:

$\tt \cfrac{x}{16} =\cfrac{9}{x}$

$\tt x^2=9(16)$

$\tt x=12$

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Step-by-step explanation:

-5 3/4 - 3 1/2

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sveta [45]

Answer:

$\displaystyle n^3-\frac{1}{n^{2}}$

Step-by-step explanation:

<u>Exponents Properties</u>

We need to recall the following properties of exponents:

$(a^x)^y=(a^y)^x=a^{xy}$

$\displaystyle a^{-x}=\frac{1}{a^x}$

We are given the expression:

$2^m=n$

We need to express the following expression in terms of n.

$8^m-4^{-m}$

It's necessary to modify the expression to use the given equivalence.

Recall $8=2^3 \text{ and }4 = 2^2$ . Thus:

$(2^3)^m-(2^2)^{-m}$

Applying the property:

$(2^m)^3-(2^m)^{-2}$

Substituting the given expression:

$n^3-n^{-2}$

Or, equivalently:

$\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}$

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2 years ago

Consider the graph shown. Determine if the graph shows two quantities that vary directly. If possible, determine the constant of

Mekhanik [1.2K]

Answer:

the quantities do NOT vary directly

Step-by-step explanation:

A graph showing a proportional relationship is a straight line through the origin. This graph goes through (0, 100), so does NOT show a proportional relationship. y does NOT vary directly with x.

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3 years ago

Daniel [21]

Answer:

a,c,d

Step-by-step explanation:

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2 years ago