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3 years ago

If x and y vary inversely, and X=3 when y=16 . Find y when x=6

Mathematics

1 answer:

amid [387]3 years ago

6 0

Answer:

y=32

Step-by-step explanation:

x=3•2=6

x=3 and 6

y=16•2=32

y=16 and (32)

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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.

5 0

3 years ago

What is the inverse of function f?<br> f(x)=64x^3-1

Yuri [45]

The inverse for function of f ⬇️

3 0

3 years ago

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if the sum of a number and nine is doubled, the result is seven less than the number. find the number.

avanturin [10]

X=the number we have to find.
This expression "2(x+9)" is when the sum of a number and nine is doubled.
If the result is seven less than the number, we will have: x-7

We can suggest the following equation:
2(x+9)=(x-7)
2x+18=x-7
2x-x=-7-18
x=-25

answer: the number would be: -25.

3 0

2 years ago

Three coins are tossed.Find the probablility that two land on heads.

REY [17]

Answer:

let me just say this

Step-by-step explanation:

you're luck not mine so sorry if this didnt help

4 0

2 years ago

Express the values below I’m scientific notation 52,800g, 255.6m, 0.04109cm!?

Trava [24]

Answer:

1) 5.28 x 10^4 g

2)2.556 x 10^2 m

3)4.109 × 10^-2cm

Have a nice day!!!!!

3 0

2 years ago

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