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Dafna1 [17]
3 years ago
6

A lady walks into a store and steals $100 from the register without the owners knowledge. She comes back 5 minutes later and buy

s $70 worth of goods using the $100 she stole. The owner gives her $30 back in change. How much did the owner lose?
Mathematics
2 answers:
Natali5045456 [20]3 years ago
7 0

Answer:

$100

Step-by-step explanation:

she bought food using that money, 70$ worth of it plus she still has 30

murzikaleks [220]3 years ago
4 0

Answer:

$30 the owner lost

Step-by-step explanation:

$100= stole amount

$70= bought goods

100-70=30

$30 change the owner is giving to the lady back

-> the lady stole 100 she bought goods worth 70 from the 100 ,70 is back to the owner the other 30 the owner looses

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<span>Penelope determined the solutions of the quadratic function by completing the square.
f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?

we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
 4x² + 8x + 1=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

 (4x² + 8x)=-1

Factor the leading coefficient 

 4*(x² + 2x)=-1

Complete the square Remember to balance the equation by adding the same constants to each side.

 4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)

Rewrite as perfect squares

4*(x+1)²=3

(x+1)²=3/4--------> (+/-)[x+1]=√3/2

(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2

(-)[x+1]=√3/2----> x2=(-2-√3)/2

therefore

the answer is

<span>Penelope should have added 4 to both sides instead of adding 1.</span>
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3 years ago
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