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yaroslaw [1]
3 years ago
12

Simiplify. U^2 - 4 / U^2 - 2u

Mathematics
2 answers:
madreJ [45]3 years ago
6 0
The answer would be u+2/u
Papessa [141]3 years ago
3 0
Remember
difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)

and the undistributiv propeoryt
ab-ac=a(b-c)

so we have
\frac{u^{2}-4}{u^{2}-2u}
undistribute and factor
\frac{(u-2)(u+2)}{u(u-2)}
cancel out the one ( (u-2)/(u-2)=1)

\frac{(u+2)}{u} is result

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What is the simplified form of the expression? 2sqrt18 - 5sqrt32
Morgarella [4.7K]

Answer

26√2

Step-by-step explanation:

The trick here lies in recognizing that both 18 and 32 have factors that are perfect squares:  18 = 2*9 and 32 = 2*16.  Therefore, we can write

2sqrt18 as 2√2√9, or 6√2, and 5sqrt32 as 5√2√16, or 20√2.

Then the original expression, in simplest form, is 6√2 + 20√2, or 26√2

7 0
3 years ago
What is the simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 ?
Ivan
The simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 is <span>6 over the quantity 4 x plus 3.

</span>

The solution would be like this for this specific problem:

( 3 /( 2x+5 )) + ( 21 / (8x^2 + 26x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (8x^2 + 20x + 6x + 15))
= ( 3 /( 2x+5 )) + ( 21 / (4x(2x + 5) + 3(2x + 5))
= ( 3 /( 2x+5 )) + ( 21 /(2x + 5)(4x + 3)
= [ 3 (4x + 3) + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 9 + 21 ] /(2x + 5)(4x + 3)
= [ 12x + 30 ] /(2x + 5)(4x + 3)
= 6(2x + 5) /(2x + 5)(4x + 3)
= 6 / (4x + 3)

<span>I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.</span>

6 0
3 years ago
Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box. ƒ -
katrin2010 [14]
As you know, to get the inverse of any expression, we start off by switching the variables about and then solving for "y",

\bf \stackrel{f(x)}{y}=\cfrac{1}{2}x+4\qquad \qquad \stackrel{inverse}{\underline{x}=\cfrac{1}{2}\underline{y}+4}\implies x-4=\cfrac{1}{2}y&#10;\\\\\\&#10;2x-8=\stackrel{f^{-1}(x)}{y}&#10;\\\\\\&#10;f^{-1}(4)=2(4)-8\implies f^{-1}(4)=0
4 0
3 years ago
A company that makes hard candy have a standard bag of hard candy with 150 pieces. The hard candy has three distinct colors red,
anzhelika [568]

Answer:

The degrees of freedom, Df = The number of bags produced on Monday - 1

Step-by-step explanation:

The number of degrees of freedom is the limiting number of values that are logically not influenced by other values such that they are capable of having variation

The degrees of freedom = The sample size - 1 = N - 1

Therefore, the degrees of freedom, Df = The number of bags produced on Monday - 1

5 0
2 years ago
What number has a 9 with a value ten times as many as the 9 in 39,154
Tomtit [17]

Answer:

Any number with 9 in the ten-thousands place. 90,000 is one such number.

Step-by-step explanation:

The 9 in 39,154 is in the thousands place. Its value is 9,000. In order for the 9 in a number to have a value 10 times that, or 90,000, the 9 must be in the ten-thousands place.

There are an infinite number of such numbers. We suspect you have a list you are to choose from. Pick the number with 9 where it is in the number 90,000.

8 0
2 years ago
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