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10 months ago

Suppose y varies directly with x, and y = 16 when x = -4. Find x when y = 24.

Mathematics

1 answer:

Amanda [17]10 months ago

3 0

The value of x when y= 24 is -26

<h3>How to determine the value of x?</h3>

The given parameters are:

y varies directly with x, and y = 16 when x = -4.

This means that

y = kx

Where k is the constant of variation

So, we have:

16 = -4k

Divide by -4

k = -4

Substitute k = -4 in y = kx

y = -4x

When y = 24, we have:

24 = -4x

Divide by -4

x = -6

Hence, the value of x when y= 24 is -26

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555 is our answer.

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1 year ago

Q(a+1) - 2q(a) if q(x) = x²+3x+4

siniylev [52]

$q(x) = {x}^{2} + 3x + 4$

_________________________________

Step(1)

To find q(a) we just need to put a instead of x in q(x) function.

Let's do it...

$q(a) = {a}^{2} + 3a + 4$

Multiply sides by -2 :

$- 2q(a) = - 2( {a}^{2} + 3a + 4)$

$- 2q(a) = - 2 {a}^{2} - 6a - 8$

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Step (2)

To find q(a+1) we just need to put a+1 instead of x in q(x) function.

Let's do it...

$q(a + 1) = ({a + 1})^{2} + 3(a + 1) + 4 \\$

$q(a + 1) = {a}^{2} + 2a + 1 + 3a + 3 + 4 \\$

$q(a + 1) = {a}^{2} + 5a + 8$

_________________________________

Step (3)

$q(a + 1) - 2q(a) =$

${a}^{2} + 5a + 8 - 2 {a}^{2} - 6a - 8 = \\$

$- {a}^{2} - a = - a(a + 1)$

And we're done.

Thanks for watching buddy good luck.

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3 years ago

PLEASE HELP!!! OFFERING LOTS!

OLga [1]

Answer:

55 because if u take the 6 and 3 and multiply then subtract 4 and whatever you get that's your answer same with the others

5 0

3 years ago

Read 2 more answers

|z - 1| = 7z - 13 solve this equation and check for extraneous solutions

Tema [17]

$|z - 1| = 7z - 13$
either:
$z - 1 = 7z - 13$
and in that case:
$- 1 + 13 = 7z - z$
$12 = 6z$
$z = 12 \div 6 = 2$
or:
$z - 1 = - 7z + 13$
and in that case
$z + 7z = 13 + 1$
$8z = 14$
$z = 14 \times 8 = 1.75$
So; the answer is: either 2 or 1.75

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2 years ago

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