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frez [133]
3 years ago
5

Factorise with factor theorem: 8y^3-125x^3

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

\\  \\  =  >  8 {y}^{3}  - 125 {x}^{3}  \\  \\  =  >  {(2y)}^{3}  -  {(5x)}^{3}  \\  \\  =  > (2y - 5x)(( {2y)}^{2}  + 2x \times 5y + ( {5x)}^{2} ) \\  \\  =  > (2y - 5x)(4 {y}^{2}  + 10xy + 25 {y}^{2} ) \:  \:  \:  \:  \:  \:  \: (ans)
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The graph represents f(x), and g(x) = 7x – 42.
Aliun [14]
g(x)=7x-42\\\\\y-intercept\ of\ g(x):\\\\f(0)=7\cdot0-42=-42\to(0;\ -42)\\\\x-intercept\ of\ g(x):\\\\0=7x-42\ \ \ \ |+42\\7x=42\ \ \ |:7\\x=6\to(6;\ 0)

f(x)=ax+b\\\\y-intercept\ of\ f(x):\ (0;\ -3)\\\\x-intercept\ of\ f(x):\ (6;\ 0)

Answer:

A) the y-intercept of g(x) is less than the y-intercept of f(x).


4 0
3 years ago
What would the inverse be?
marta [7]
Find the inverse of f(x)=2x-3.

1) replace "f(x)" with "y."   Then y=2x-3.
2) interchange x and y.  Then x=2y-3.                   x+3
3) solve this result for y.  Then 2y=x+3, or   y=----------------
                                                                                  2
                            -1           -1           x+3                        
4) replace y with f   (x):    f    (x) = ---------
                                                           2

This is the procedure, with the answer given.
8 0
2 years ago
9 + |-78| - (-22)<br><br> Answer truthfully please.
GuDViN [60]

Answer:

109

Step-by-step explanation:

9 + |-78| - (-22)

Apply the absolute value which states |-x| = x.

9 + 78 - (-22)

Apply the rule that states x - (-y) = x + y.

9 + 78 + 22

Add 9 and 78.

87 + 22

Add 87 and 22.

109.

4 0
2 years ago
What is the subset of 2/3??
sineoko [7]

It belongs to the rational numbers.  

It is the ratio of two integers, 2 and 3.

3 0
3 years ago
order the numbers 0.64, 2/3, 65%, and 7/10, from least to greatest, and explain how you got your answer, please, thank youuuu!
Andrei [34K]
The answer is 0.64,65,2/3,7/10 how I got it is because you need to turn all the numbers into decimals 
7/10=.7
2/3=0.666666.....
and the others one are already in decimal form 
4 0
3 years ago
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