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Kipish [7]
3 years ago
7

Factorise the following using the Difference of Two Squares or Perfect Squares rule: a) (2x-2)^2 - (x+4)^2 b) (3x+4) (3x-4)

Mathematics
1 answer:
emmainna [20.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

Hello, please consider the following.

a)

(2x-2)^2 - (x+4)^2 \\\\=(2x-2-(x+4))(2x-2+x+4)\\\\=(2x-2-x-4)(3x+2)\\\\=\boxed{(x-6)(3x+2)}

b)

(3x+4) (3x-4)\\\\=(3x)^2-4^2\\\\=\boxed{9x^2-16}

Thank you.

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The balance in your bank account is $720.50. You use your debit card for purchases of $45, $82, and $22.25. Then, you deposit $9
myrzilka [38]

Answer:

669 dollars and 70 cents

Step-by-step explanation:

just minus all the money spent and add the money added

7 0
3 years ago
How do I set up the equation for this word problem? A takes 1/2 of the diamonds plus 1 from the table. B takes 2/3 of what remai
nalin [4]

The first thief takes (1/2 x + 1) .  What remains ?   x - (1/2x + 1)

So the 2nd thief takes  2/3 of  [  x - (1/2x + 1) ]

   What remains ?    x - 2/3 [ x - (1/2x + 1) ]

So the 3rd thief takes    2/3 of  { x - 2/3 [ x - (1/2x + 1) ] }  and he takes 1 more .

   What remains ?    x - ( 2/3 { x - 2/3 [ x - (1/2x + 1) ] } + 1 )

And that whole ugly thing is equal to ' 1 ', so you can solve it for 'x'..

The whole problem from here on is an exercise in simplifying
an expression with a bunch of 'nested' parentheses in it.  
===============================================
This is a lot harder than just solving the problem with logic and
waving your hands in the air.  Here's how you would do that:

Start from the end and work backwards:

-- One diamond is left.
-- Before the 3rd thief took 1 more, there were 2.
-- That was 1/3 of what was there before the 3rd man took 2/3.
So he found 6 when he arrived.
-- 6 was 1/3 of what was there before the second thief helped himself.
So there were 18 when the 2nd man arrived.
-- 18 was 1 less than what was there before the first thief took 1 extra.
So he took his 1 extra from 19.
-- 19 was the remaining after the first man took 1/2 of all on the table.
So there were 38 on the table when he arrived.

Thank you for your generous 5 points.


 
3 0
3 years ago
The cost C (in dollars) of making n watches is represented by C = 15n + 85 .
AURORKA [14]
So the answer should be 48.58 if not then it could be 278n
5 0
3 years ago
Find xif f(x) = 2x + 7 and f(x) = -1.
Natali [406]

Answer: -4

Step-by-step explanation:

Solve 2x+7=-1

2x. =-8

x. =-4

8 0
3 years ago
Read 2 more answers
(UFRGS) Se 10x = 20y , atribuindo 0,3 para log2, então o valor de é
sveticcg [70]

Answer:

\frac{x}{y}=1.3

Step-by-step explanation:

<u>Informação recuperada:</u>

(UFRGS) Se 10x = 20y , atribuindo 0,3 para log 2 , então o valor de x/y é

1) Primeiro, passando o 10 para o 2º membro como base do logaritmo:

10x=20y \Rightarrow x=log_{10}20y

2) Aplicando a propriedade do produto de logaritmo:

log(AB)= logA+logB

x=log_{10}20y \Rightarrow x=log(2+10)y\Rightarrow x=(0.3+1)y \Rightarrow x=1.3y

3)  Como quero o quociente divido ambos os lados por y

\frac{x}{y}=\frac{1.3y}{y}\Rightarrow \frac{x}{y}=1.3

4 0
3 years ago
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