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3 years ago

What number should be added to both sides of the equation to complete the square? х2 + 3x = 6

Mathematics

1 answer:

Daniel [21]3 years ago

8 0

3/2^2 or 0.75 because you have to take the middle value (3), divide it in half, then square it. That would be 0.75.

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Consider the function f(x) = 8x^3 +1. If f(g(x)) = x and g(f(x)) = x , find g(x) ?

Elena L [17]

$g( \: f(x) \: ) = x$

And

$f( \: g(x) \: ) = x$ _________________________________

So :

$g(x) = {f}^{ - 1}(x)$

And

$f(x) = {g}^{ - 1}(x)$

_________________________________

So to find g(x) , we must find the inverse of f(x) .

Let's do it .....

$f(x) = 8 {x}^{3} + 1$

$y = 8 {x}^{3} + 1$

Subtract the sides of the equation minus 1

$y - 1 = 8 {x}^{3}$

Divided the sides of the equation by 8

$\frac{y - 1}{8} = {x}^{3} \\$

From the sides of the equation, we take the radical with interval 3

$\sqrt[3]{ \frac{y - 1}{8} } = x \\$

$\sqrt[3]{ \frac{1}{8}(y - 1) } = x \\$

$\frac{1}{2} \sqrt[3]{y - 1} = x \\$

$\frac{ \sqrt[3]{y - 1} }{2} = x \\$

So ;

${f}^{ - 1}(x) = \frac{ \sqrt[3]{x - 1} }{2} \\$

Now we find g(x) which is :

$g(x) = \frac{ \sqrt[3]{x - 1} }{2} \\$

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0

3 years ago

PLEASE CAN SOMEONE HELP FAST BEG U SIMULTANEOUS EQUATION P/2 + Q/3 =6 P/3 + Q/3 =0

Naddika [18.5K]

Answer:

{Q = -(3 P)/2, Q = -6 P}

Step-by

-step explanation:

6 0

3 years ago

Yarin’s gross pay for the year was $3,500. The federal income tax withholding from his pay was 9% of his gross pay. Yarin determ

inna [77]

9514 1404 393

Answer:

$200

Step-by-step explanation:

The amount of withholding was ...

$3500 · 9% = $315

The excess over the amount due is ...

$315 -115 = $200

Yarin can expect a refund of $200.

3 0

3 years ago

Read 2 more answers

Anyone know the answer

ycow [4]

Answer:

Step-by-step explanation:

72/9 = 8 ( The quotient of 72 and 9)

8-5 = 3 (Decrease by 5)

8 0

3 years ago

Ricky went to buy stationary to New Paper Mart. He found missing data in the bill as shown below. Find the values of A, B, C and

Bond [772]

Answer:

The value of A = 36

The value of B = 42

The value of C = 30

The value of D = 12

Step-by-step explanation:

A= $6 x 6= 36

B= 336 ÷ 8= 42

C= $15 x 2= 30

D= 24 ÷ $2= 12

Find complete question in the attachment

5 0

3 years ago