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3 years ago

Which expression is equal to -18b^-4

Mathematics

1 answer:

victus00 [196]3 years ago

8 0

Answer:

$- \frac{18}{ {b}^{4} }$

Step-by-step explanation:

$- 18b {}^{ - 4}$

express b^-4 with a positive exponent using:

$a {}^{ - n} = \frac{1}{ {a}^{n} }$

$- 18 \frac{1}{ {b}^{4} }$

$- \frac{18}{ {b}^{4} }$

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4. The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation

sergey [27]

Answer:

Function $f(x)$ is shifted 1 unit left and 1 unit up.

$f(x)\rightarrow f(x+1)+1$

Transformed function $f(x+1)+1=\log(x+1)+1$

Step-by-step explanation:

Given:

Red graph (Parent function):

$f(x)=\log(x)$

Blue graph (Transformed function)

From the graph we can see that the red graph is shifted 1 units left and 1 units up.

Translation Rules:

$f(x)\rightarrow f(x+c)$

If $c>0$ the function shifts $c$ units to the left.

If $c$ the function shifts $c$ units to the right.

$f(x)\rightarrow f(x)+c$

If $c>0$ the function shifts $c$ units to the up.

If $c$ the function shifts $c$ units to the down.

Applying the rules to $f(x)$

The transformation statement is thus given by:

$f(x)\rightarrow f(x+1)+1$

As function $f(x)$ is shifted 1 unit left and 1 unit up.

Transformed function is given by:

$f(x+1)+1=\log(x+1)+1$

5 0

3 years ago

The picture shows a barn door:

Hitman42 [59]

Answer:

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Step-by-step explanation:

From the given figure, using trigonometry

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Substituting the given values, we get

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$\frac{9}{sin60^{\circ}}=AB$

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$AB=\frac{18}{\sqrt{3}}$

$AB=10.4 feet$

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Step-by-step explanation:

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