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2 years ago

How many times does 20 go into 190

2 answers:

5 0

- - Solve:

Multiply.

20*x=190

But here is the thing.

It can only go in "9" times because if we did 20*9=180, we cant add 20 more or we go over.

Therefore 20 can only go in 190, 9 times.

mihalych1998 [28]2 years ago

4 0

It will go in it 9 times cause 9*20=180

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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,

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

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

$f( - 6) = 1296 - 1728 + 360 + 42+ 40$

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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2 years ago

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Answer:

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angle 2: 107.5°

Step-by-step explanation:

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x + y = 180

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Lets solve your equation step by step:

(4k + 5)(k + 1) = 0

Step 1: Simplify both sides of the equation:

4k^2 + 9k + 5 = 0

Step 2: Factor left side of equation:

(4k + 5)(k + 1) = 0

Step 3: Set factors equal to 0:

4k + 5 = 0 or k + 1 = 0

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Answer: k = - 5/4 or k = - 1

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