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1 year ago

Sam and Jack received a cash voucher and they divided the amount equally between them.

Mathematics

1 answer:

Bas_tet [7]1 year ago

4 0

Answer:

Total voucher value is 1352

Step-by-step explanation:

X eqals voucher amount

Sam money 1/2x - 35

Jack money 1/2x - 78

Both 1239 = 1/2x - 35 + 1/2x - 78

1239 = x - 113 /+113 both sides

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What is true about the solution of x^2 / 2x - 6 = 9 / 6x - 18

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2 years ago

Which two rational numbers does √14 lie between?

Fiesta28 [93]

First, let's find what √14 equals.

√14 ≈ 3.74

Now, we can solve for all the answer choices.

Option A:

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Option B:

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Option C:

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Option D:

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The only option that contains √14 between it, is Option D.

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What two numbers multiply to 54 and add up to 7

k0ka [10]

Xy = 54
x + y = 7

$xy = 54$
$\frac{xy}{x} = \frac{54}{x}$
$y = \frac{54}{x}$

$x + y = 7$
$x + \frac{54}{x} = 7$
$\frac{x^{2}}{x} + \frac{54}{x} = 7$
$\frac{x^{2} + 54}{x} = 7$
$x^{2} + 54 = 7x$
$x^{2} - 7x + 54 = 0$
$x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}$
$x = \frac{7 \± \sqrt{49 - 216}}{2}$
$x = \frac{7 \± \sqrt{-167}}{2}$
$x = \frac{7 \± i\sqrt{167}}{2}$
$x = \frac{7 \± 12.9i}{2}$
$x = 3.5 \± 6.45i$
$x = 3.5 + 6.45i$ $or$ $3.5 - 6.45i$

x + y = 7
3.5 + 6.45i + y = 7
- (3.5 + 6.45i) - (3.5 + 6.45i)
y = 3.5 - 6.45i
  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

  or

  x + y = 7
3.5 - 6.45i + y = 7
- (3.5 - 6.45i)   - (3.5 - 6.45i)
y = 3.5 + 6.45i
(x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.

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