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2 years ago

Drag each tile to the correct box. Not all tiles will be used.

Mathematics

1 answer:

klemol [59]2 years ago

7 0

The simplified form of the expression 1/6 (30x + 24) – 1/7 (63 – 7x) will be 6x – 5.

The complete question is given below.

<h3>What is simplification?</h3>

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ 1/6 (30x + 24) – 1/7 (63 – 7x)

By simplifying we have

⇒ 1/6 × 30x + 1/6 × 24 – 1/7 × 63 + 1/7 × 7x

⇒ 5x + 4 – 9 + x

⇒ 6x – 5

Then the simplification process is done.

More about the simplification link is given below.

brainly.com/question/12616840

#SPJ1

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Delicious77 [7]

Answer:

X= -2

Step-by-step explanation:

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3 years ago

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forsale [732]

2x + 6 = 4x/2 + 12/2

To solve this, we need to transpose like terms to the same side.

2x - 4x/2 = 12/2 - 6

2x - 2x = 6 - 6

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Since both sides are zero, it means that the equation has infinite number of solutions.

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3 years ago

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Kaitlyn creates an architectural blueprint of a rectangular dining room.The area of the actual dining room is 900 times as large

8090 [49]

We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.

√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30

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4 inches×1/30=120inches

Answer = 120 inches

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3 years ago

Show work to above problem

Len [333]

$\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad
\sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}
\\\\\\
|a|\implies 
\begin{cases}
+a\\
-a
\end{cases}\implies \pm a\\\\
-------------------------------\\\\
(16x^2)^{\frac{1}{2}}\implies \pm\sqrt[2]{(16x^2)^1}\implies \pm\sqrt{4^2x^2}\implies \pm\sqrt{(4x)^2}\implies \pm 4x
\\\\\\
\begin{cases}
+4\\
-4
\end{cases}\implies |4x|$

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3 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$

If we substitute values into the quotient expression we arrive at

$\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

8 0

3 years ago