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3 years ago

Which expression can be used to find the number of liters in 15 quarts?

Mathematics

2 answers:

4vir4ik [10]3 years ago

7 0

Answer:

15 liters = 15.85035 quarts

Step-by-step explanation:

1 liter = 1.05669 quarts

15 liters = 1.05669*15

gavmur [86]3 years ago

3 0

1 L, l = 1.0566882094 qt (US)
1 qt (US) = 0.946352946 L, l

Example: convert 15 L, l to qt (US):
15 L, l = 15 × 1.0566882094 qt (US) = 15.8503231415 qt (US)

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Answer:

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Step-by-step explanation:

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The correct question is
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
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

Penelope should have added 4 to both sides instead of adding 1.

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