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MaRussiya [10]
3 years ago
15

Combine as indicated by the signs. Write variables alphabetically in your answer. 3/x+1/xyz+2/xy

Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0

Answer:

\frac{3yz+2z+1}{xyz}

Step-by-step explanation:

Given expression,

\frac{3}{x}+\frac{1}{xyz}+\frac{2}{xy}

∵LCM(x, xyz, xy) = xyz,

\frac{3}{x}=\frac{3yz}{xyz}

\frac{2}{xy}=\frac{2z}{xy}

\implies \frac{3}{x}+\frac{1}{xyz}+\frac{2}{xy}=\frac{3yz}{xyz}+\frac{1}{xyz}+\frac{2z}{xyz}

=\frac{3yz+1+2z}{xyz}

=\frac{3yz+2z+1}{xyz}

Free_Kalibri [48]3 years ago
3 0
\frac{3yz+2z+1}{xyz} should be your answer
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Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia
omeli [17]
a_n=48+3(2n-1)

The formula of the sum of the arithmetic sequence:
S_n=\dfrac{a_1+a__n}{2}\cdot n
calculate:
a_1=48+3(2\cdot1-1)=48+3=51
substitute
S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n
Your answer is:
\boxed{f(x)=3x^2+48x}

5 0
3 years ago
Read 2 more answers
Write the raito as a fraction simplest from 12 boys and 15 girls​
kiruha [24]

Step-by-step explanation: We can write a ratio using the word "to", using a colon, or using a fraction bar.

Here, since we want our ratio in simplest form,

I would use a fraction bar.

Now, the problem asks us to compare

the number of boys to the number of girls.

We know that there are 12 boys

and we know that there are 15 girls.

So our ratio is 12/15.

However, this can be reduced to 4/5.

3 0
3 years ago
Solve x2 + 15x = –56.
Black_prince [1.1K]
15x = 7x + 8x

x^2+15x=-56\\\\ x^2+15x+56=0\\\\ x^2+7x+8x+56=0\\\\x(x+7)+8(x+7)=0\\\\ (x+7)(x+8)=0 \\\\ x=-7 \ or \ x=-8
6 0
3 years ago
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1. What is the difference between a median of a triangle and an altitude?
Step2247 [10]

Answer:

The difference between a median and altitude of a triangle is given below :

Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side .But a median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.

Step-by-step explanation:

The difference between a median and altitude of a triangle is given below :

Altitude is the perpendicular line drawn from a vertex of a triangle to its opposite side .But a median of a triangle is a segment connecting a vertex to the midpoint of its opposite side.

4 0
2 years ago
Lily is a botanist who works for a garden that many tourists visit. The function f(s) = 2s + 30 represents the number of flowers
Vesnalui [34]

Answer:

  A. b(w) = 80w +30

  B. input: weeks; output: flowers that bloomed

  C. 2830

Step-by-step explanation:

<h3>Part A:</h3>

For f(s) = 2s +30, and s(w) = 40w, the composite function f(s(w)) is ...

  b(w) = f(s(w)) = 2(40w) +30

  b(w) = 80w +30 . . . . . . blooms over w weeks

__

<h3>Part B:</h3>

The input units of f(s) are <em>seeds</em>. The output units are <em>flowers</em>.

The input units of s(w) are <em>weeks</em>. The output units are <em>seeds</em>.

Then the function b(w) above has input units of <em>weeks</em>, and output units of <em>flowers</em> (blooms).

__

<h3>Part C:</h3>

For 35 weeks, the number of flowers that bloomed is ...

  b(35) = 80(35) +30 = 2830 . . . . flowers bloomed over 35 weeks

7 0
2 years ago
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