What is 84 seconds to 8 seconds

Mathematics

1 answer:

Inessa05 [86]3 years ago

5 0

Answer:

8 out of 84: 90% decrease

200 out of 238: 16% decrease

Step-by-step explanation:

To find a percent decrease, you first subtract the end number by the initial number. This gives you the change.

ex. 84-8=76

Now you divide the change by the initial number. You'll get a decimal.

ex. 76/84=0.904...

Multiply the decimal times 100, or move the decimal to the right twice.

ex. 0.904... -> 90.4...

Now round to the nearest ones place

ex. 90.4 -> 90%

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Determine the quotient, q(x), and remainder, r(x) when

Vinvika [58]

ANSWER

Quotient:

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

Remainder:

$r(x) = 3x + 1$

EXPLANATION

The given functions are

$f(x) = 12 {x}^{4} + 21 {x}^{3} + 31 {x}^{2} + 21x + 9$

and

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

We want to find the remainder and quotient when f(x) is divided by g(x).

We perform the long division as shown in the attachment.

The quotient is

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

The remainder is

$r(x) = 3x + 1$