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2 years ago

On the coloring sheet, thd a ratio is equivalent to 3/10.

Mathematics

1 answer:

DerKrebs [107]2 years ago

8 0

Answer:

Equivalent ratios:

3 : 10 6 : 20 9 : 30 12 : 40 15 : 50 18 : 60 21 : 70 24 : 80 27 : 90 30 : 100 33 : 110 36 : 120 39 : 130 42 : 140 45 : 150 48 : 160 51 : 170 54 : 180 57 : 190 60 : 200 63 : 210 66 : 220 69 : 230 72 : 240 75 : 250 78 : 260 81 : 270 84 : 280 87 : 290 90 : 300

<u>( Brainlyst will help my rank <3 )</u>

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Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?

Vaselesa [24]

ANSWER

$f( - 6) = 10$

EXPLANATION

The given function is
$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$

According to the remainder theorem,

$f( - 6) = R$
where R is the remainder when
$f(x)$

is divided by
$x + 6$

We therefore substitute the value of x and evaluate to obtain,

$f( - 6) = { (- 6)}^{4} + 8 {( - 6)}^{3} + 10 { (- 6)}^{2} - 7( - 6)+ 40$

$f( - 6) = 1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40$

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This will evaluate to,

$f( - 6) = 10$

Hence the value of the function when
$x = - 6$

is
$10$

According to the remainder theorem,
$10$
is the remainder when

$f(x) = {x}^{4} + 8 {x}^{3} + 10 {x}^{2} - 7x + 40$
is divided by
$x + 6$

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