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3 years ago

Which of the following points is a solution of the system shown? x + y ≥ 6 x ≥ 4

Mathematics

1 answer:

Marysya12 [62]3 years ago

3 0

Do you have a picture of the question so i can see the graph , to answer the question for you?

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Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ? f (x) = x3 – 2

butalik [34]

To solve this question, we use the factor theorem, and using it, the polynomial function is:

$f(x) = x^3 - 2x^2 - 3x + 6$

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The factor theorem means that if k is a root of f(x), f(k) = 0.

Thus, applying the factor theorem for this question, we have to choose the function for which: $f(2) = 0, f(\sqrt{3}) = 0, f(-\sqrt{3}) = 0$

------------------------------

Function 1:

$f(x) = x^3 - 2x^2 - 3x + 6$

Testing the values:

$f(2) = 2^3 - 2(2)^2 - 3(2) + 6 = 8 - 8 - 6 + 6 = 0$

$f(\sqrt{3}) = \sqrt{3^3} - 2(\sqrt{3})^2 - 3\sqrt{3} + 6 = \sqrt{3^2\times3} - 6 - 3\sqrt{3} + 6 = 3\sqrt{3} - 3\sqrt{3} = 0$

$f(-\sqrt{3}) = -\sqrt{3^3} - 2(-\sqrt{3})^2 - 3(-\sqrt{3}) + 6 = -\sqrt{3^2\times3} - 6 + 3\sqrt{3} + 6 = -3\sqrt{3} + 3\sqrt{3} = 0$

Thus, since all three conditions are satisfied, $f(x) = x^3 - 2x^2 - 3x + 6$ is the polynomial function.

A similar question is given at brainly.com/question/11378552

5 0

3 years ago

Solve the equation 3+2/5x=11-2/5x using at least two different sequences of steps. Show your work for each step.

Rina8888 [55]

First combine like terms ,
5/5x=9/5x
move the variable which will cancel out because it is the same
5=9 is no solution sorry if i’m wrong lol

4 0

3 years ago

a train moves at a constant speed of 8 Miles every four minutes fill in the table below to show how far the train according to d

WITCHER [35]

Answer: Well theres no table added but it probably looks like this

X Y

8mph 4 min

2mph 1 min

I think you can do the rest

4 0

3 years ago

A family of 3 children 2 adults visited a heath club. The club charges $y an hour for each child and $x an hour for each adult.

gregori [183]

Answer:

Step-by-step explanation:y<30 and x<15

6 0

3 years ago

timofeeve [1]

Answer:

3x+4

Step-by-step explanation:

f(g(x))=3(x+2)-2

=3x+6-2

=3x+4

6 0

2 years ago

Read 2 more answers