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Oduvanchick [21]
2 years ago
13

For the given data set; 2, 5, 7, 9, 11, 15 , 17 find the range.

Mathematics
1 answer:
kherson [118]2 years ago
6 0
15. Subtract the smallest number from the largest
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How do you simplify this?<br>x²y+xy² / y²+2/5 × xy​​​
polet [3.4K]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • How do you simplify this?
  • x²y+xy² / y²+2/5 × xy

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\sf\frac{  { x  }^{ 2  }  y+x { y  }^{ 2  }    }{  { y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy  } \\

Factor the expressions that are not already factored.

_____

<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>

<u>NUMERATOR</u> \downarrow

\sf \: x ^ { 2 } y + x y ^ { 2 }

Factor out xy.

\sf \: xy\left(x+y\right)

<u>DENOMINATOR</u> \downarrow

\sf{ y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy \\

Factor out 1/5.

\sf \: {\frac{1}{5}y\left(2x+5y\right)}  \\

_____

Continuing...

\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)}  \\

Cancel out y in both the numerator and denominator.

\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)}  \\

Expand the expression.

\sf\frac{x^{2}+xy}{\frac{2}{5}x+y}  \\

This can further simplified to as \downarrow

=    \boxed{\boxed{\bf\frac{5x\left(x  +y\right)}{2x+5y}}}

3 0
3 years ago
Determined be whether the solution to 32=6(1)-4​
igomit [66]

Answer:

false

Step-by-step explanation:

32 = 6(1) - 4

According to PEMDAS (parentheses/exponents | multiplication/division | additions/subtraction), we should multiply first.

32 = 6 - 4

Now let's subtract.

32 = 2

This statement is incorrect; therefore it is not true.

8 0
3 years ago
Read 2 more answers
Please help me with this question URGENT PLEASE ANSWER THIS MATH QUESTION
lesya [120]

Answer:

(4,0)

Step-by-step explanation:

The object is first at (0,0)

It is reflected across line x=-2, this means you draw the mirror line at x=-2 and count 2 equal units backwards to get the image.The image will be at ;y=0\\\\x=-2-2=-4\\\\\\=(-4,0)

The image (-4,0) is then reflected on the y-axis

You know reflection on the y-axis, the y-coordinate remains the same but the x-coordinate is changed to its opposite sign.

Hence;

(- -4,0)= (4,0)

The image will move 8 units towards positive x-axis.This is the same as moving 4 units from the mirror line at (0,0) and land at (4,0)

6 0
3 years ago
How to find the volume of a pyramid
lbvjy [14]
V=\dfrac{1}{3}BH\\\\B=9\cdot6=54\ (in^2)\\H=7\ in\\\\subtitute\\\\V=\dfrac{1}{3}\cdot54\cdot7=18\cdot7=126\ (in^3)


Answer: a. 126 in³.
6 0
3 years ago
Subtract. -21 - (-13)
Burka [1]

Answer:

-8

Step-by-step explanation:

-21-(-13)

=-21+13

=-8 is the answer......

3 0
3 years ago
Read 2 more answers
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