Solve for x. x - 2(2 - 3/2 x) = 2(4 - x) + 10

Mathematics

1 answer:

Fudgin [204]3 years ago

3 0

Answer:

x=11/3

Step-by-step explanation:

x-4+3x=8-2x+10

4x-4=18-2x

6x=22

x=22/6

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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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3 years ago

Evaluate the following<br><br> (1.6 x 10 12) ÷ (8.01 x 10 23)

devlian [24]

To evaluate the given expression, we must follow the rules of PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction) in solving.

Therefore, first calculate what's inside the parentheses:

(1619.2) / (8194.23)

Then perform the operation in between the parentheses:

<span>(1619.2) / (8194.23) = 0.20
</span>
Therefore the answer after evaluating the expression is 0.20.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

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3 years ago

Combine like terms and simplify the expression: -2+6x+4+4x

serg [7]

-2+6x+4+4x
=2+10x
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3 years ago

Read 2 more answers

I NEED HELP WITH BOTH I WILL MARK THE BRAINIEST

Dennis_Churaev [7]

First pic: x=27
second pic: x=15

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