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Shalnov [3]
3 years ago
11

Solve: (1/x)+6 = 5/sqrt(x)

Mathematics
1 answer:
Semenov [28]3 years ago
4 0
<em>Solve: </em>\frac{1}{x} + 6 = \frac{5}{\sqrt{x}}

Start by squaring both sides to eliminate the square root.
(\frac{1}{x} + 6)^{2} = \frac{25}{x}

Expand the left hand side.
\frac{1}{x^{2}} + \frac{12}{x} + 36 = \frac{25}{x}

Simplify.
\frac{1}{x^{2}} - \frac{13}{x} + 36 = 0
\frac{1 - 13x + 36x^{2}}{x^{2}} = 0

Solve for x.
36x^{2} - 13x + 1 = 0
36x^{2} - 9x - 4x + 1 = 0
9x(4x - 1) - (4x - 1) = 0

(9x - 1)(4x - 1) = 0
\therefore x = \frac{1}{9}, \frac{1}{4}
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Two different floor plans are being offered in a new housing development. Several prospective
cricket20 [7]

Answer:

0.912

Step-by-step explanation:

<em>The complete question is attached.</em>

<em />

"OR" in probability means "ADDITION". So we find the individual probabilities and "ADD" them.

P(Plan A) would be the total people for plan A (add up column of Plan A) divided by total number of people [add up all the numbers].

Looking at the table, we have:

P (Plan A) = 38/68

Now,

P(40-49 Group) can be found by adding up the row of 40-49 age group and dividing by the total. So, we have:

P(40 - 49 Group) = 24/68

Now, adding up both:

38/68 + 24/68 = 62/68 = 0.912

7 0
2 years ago
What is 79 1/2% of $7570?
Mariulka [41]

Answer:

$6018.15

Step-by-step explanation:

"is" number always goes on TOP "of" number.

"is" number is 79 1/2%

"of" number is $7570

<em>79 1</em><em>/</em><em>2</em><em> </em><em>%</em><em> </em><em>/</em><em> </em><em>$</em><em>7570</em><em> </em><em>*</em><em> </em><em>100</em><em> </em><em>=</em><em> </em><em>$</em><em>6018.15</em><em> </em>

<em>To</em><em> </em><em>find</em><em> </em><em>out</em><em> </em><em>if</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>correct</em><em> </em><em>:</em>

<em>6018.15</em><em> </em><em>/</em><em> </em><em>7570</em><em> </em><em>*</em><em> </em><em>100</em><em> </em><em>=</em><em> </em><em>79.12</em><em>%</em>

5 0
3 years ago
What is the simplified form of 12x/900x²y4z6?
zalisa [80]

Answer:

360xy^2|xz^3|

Step-by-step explanation:

Given expression:

12x \sqrt{900x^2y^4z^6}

\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:

\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

Replace 900 with 30² :

\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}

\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:

\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}

\implies 360x|x|\sqrt{y^4}\sqrt{z^6}

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:

\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}

Simplify:

\implies 360xy^2|xz^3|

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0
1 year ago
162 water bottles in 9 cases
adell [148]
Your answer is 18 because your dividing
8 0
3 years ago
Read 2 more answers
15 percent of 9 dollars is $?
Nataly_w [17]

Answer:

pretty sure it's 1.35

Step-by-step explanation:

have a wonderful day my friend

4 0
3 years ago
Read 2 more answers
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