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3 years ago

What are the roots of the polynomial equation x^4+x^3=4x^2+4x? Use a graphing calculator and a system of equations.

2 answers:

8 0

Desmos graphing calculator will draw this graph for you.

draw 2 curves

y = x^4 + x^3
and
y = 4x^2 + 4x

The roots are the points where the 2 curves intersect.

You can see by simple substitution that one root is zero.

x^4 + x^3 - 4x^2 - 4x = 0

f(2) = 16 + 8 - 4(4) - 4(2) = 0 so 2 is another root

f(-2) = 16 - 8 - 16 + 8 = 0 so -2 is another root

f(-1) = 1 - 1 - 4 + 4 = 0 so -1 is the other root

The answer is A

xeze [42]3 years ago

6 0

the answer is a i hope that helpful

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Suppose you removed the zero from each decimal below. Which decimal's value would be changed?

expeople1 [14]

Answer:

Step-by-step explanation: if you remove the 0 then you get 3.27

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3 years ago

If a(x) = 3x + 1 and b(x)= squareroot x-4, what is the domain of (b*a)(x)?

oksano4ka [1.4K]

$\boxed{ \ x \geq 1 \ }$ or can be written as $\boxed{ \ [1, \infty) \ }$

<h3>Further explanation</h3>

This is a question about the composition of functions and how to get a domain function.

Given $\boxed{ \ a(x) = 3x + 1 \ }$ and $\boxed{ \ b(x) = \sqrt{x - 4} \ }$ .

We will form (b o a)(x) and then determine the domain.

$\boxed{ \ (b \circ a)(x) = b(a(x)) \ }$

Replace each appearance of x in b(x) with $\boxed{ \ a(x) = 3x + 1 \ }$ .

$\boxed{ \ (b \circ a)(x) = \sqrt{(3x + 1) - 4} \ }$

Thus, $\boxed{ \ (b \circ a)(x) = \sqrt{3x - 3} \ }$

To be defined, the value under the radical sign must not be negative. Therefore, the domain of $(b \circ a)(x) = \sqrt{3x - 3}$ are processed as follows.

$\boxed{ \ 3x - 3 \geq 0 \ }$

Both sides added by 3.

$\boxed{ \ 3x \geq 3 \ }$

Both sides divided by 3.

$\boxed{ \ x\geq 1 \ }$

Thus, the domain of $(b \circ a)(x) = \sqrt{3x - 3}$ is $\boxed{ \ x \geq 1 \ }$ or can be written as $\boxed{ \ [1, \infty) \ }$

<h3>Learn more</h3>

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Keywords: composition of function, if a(x) = 3x + 1, and, b(x) = √(x-4), what is the domain of, (b o a)(x), b(a(x)), defined, the value, under the radical sign, must not be negative,

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4 years ago

Read 2 more answers

Carl bought some stock at $25 a share the stock increased to 1 1/2 times its value how much is the stock per share please help t

Anestetic [448]

Do 25 divided by 1/2 to get your answer. Thanks! Brainly Team

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3 years ago

On Monday, the theater club sells 14 tickets for the school play. On Tuesday, they sell 10 tickets. On those two days, they sell

Margarita [4]

Answer:

<h2>31 tickets</h2>

Step-by-step explanation:

Step one:

number of tickets sold

monday=14

tuesday=10

the number of tickets sold for Monday and Tuesday combined is

14+10= 24

step two:

we want to find how many tickets make 30%

so 30/100*24

0.3*24

=7.2 tickets,

Approximately 7 ticket

Therefore the total ticket is

14+10+7

=31 tickets

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3 years ago

What expression represents the product of 17 and 4

Evgesh-ka [11]

17 • 4 is the equation that represents the product

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3 years ago