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4 years ago

F(x)=x^3+6x^2+x^1/2 and g(x)=x^1/2 find f(x)/g(x)

1 answer:

6 0

Assuming your f(x) = x^3 +6x^2 +x^(1/2) and g(x) = x^(1/2), you have
.. f(x)/g(x) = x^(5/2) +6x^(3/2) +1

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If an exponent has any arithmetic in it, parentheses are needed around it.

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Which numbers are rational

Goshia [24]

Answer:

$\sqrt{81}$ , 6.54, $\frac{12}{5}$ , $\sqrt{50}$

Step-by-step explanation:

Rational Number: Numbers that end and do not go on forever. Example: $\pi$

Decimals (that end or repeat)

Fractions

Whole numebers

Square roots

<u>Hope this helped!</u>

5 0

3 years ago

Read 2 more answers

Help me with this please

makvit [3.9K]

T ( -9,-3)
U (-9,-6)
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8 0

3 years ago

The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.64 inches

DanielleElmas [232]

Answer:

z-score is 2.16

98.46% of men are SHORTER than 6 feet 3 inches

Step-by-step explanation:

The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.64 inches.

Mean = $\mu = 69.3 inches$

Standard deviation = $\sigma = 2.64 inches$

a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)

x = 6 feet 3 inches

1 feet =12 inches

6 feet = 12*6 = 72 inches

So, x = 6 feet 3 inches = 72+3=75 inches

Formula : $Z=\frac{x-\mu}{\sigma}$

$Z=\frac{75-69.3}{2.64}$

$Z=2.159$

So, his z-score is 2.16

No to find percentage of men are SHORTER than 6 feet 3 inches

We are supposed to find P(x< 6 feet 3 inches)

z-score is 2.16

Refer the z table

P(x< 6 feet 3 inches) =0.9846

So, 98.46% of men are SHORTER than 6 feet 3 inches

3 0

3 years ago

please show the work, I know the answer I just need the steps. What is the solution of the equation? 3 ^5sqrt(x+2)^3+3=27

PilotLPTM [1.2K]

<h2>The value of x = - 1.7863 (approx) or, $\dfrac{8}{81} ^{\dfrac{2}{3}}}-2$ </h2>

Step-by-step explanation:

We have,

$3^5\sqrt{(x+2)^3}+3=27$

To find, the value of x in the given equation = ?

∴ $3^5\sqrt{(x+2)^3}+3=27$

⇒ $243\sqrt{(x+2)^3}=27-3$

⇒ $\sqrt{(x+2)^3}=\dfrac{24}{243}$

⇒ ${(x+2)^{\dfrac{3}{2}}}=\dfrac{8}{81}$

⇒ $(x+2)=\dfrac{8}{81} ^{\dfrac{2}{3}}}$

⇒ $x=\dfrac{8}{81} ^{\dfrac{2}{3}}}-2$

⇒ x = 0.2137 - 2

⇒ x = - 1.7863 (approx)

Thus, the value of x = - 1.7863 (approx) or, $\dfrac{8}{81} ^{\dfrac{2}{3}}}-2$ .

4 0

4 years ago

If log w = (1/2) log x + log y, then w= ?

alina1380 [7]

Answer:

$w = \sqrt{x} y$

Step-by-step explanation:

Formula used :

$a \ log\ b = log \ b^a\\\\log a + log b = log \ ab$

$log\ w = \frac{1}{2} log\ x + log \ y\\\\log \ w = log \sqrt{x} + log \ y\\\\log \ w = log \sqrt{x} y\\\\w = \sqrt{x} y$

6 0

3 years ago

Read 2 more answers