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Art [367]
3 years ago
14

Need help here plss

Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0

Answer:

See Below

Step-by-step explanation:

To graph y ≥ 2, draw the line y = 2 and then shade above it and keep it a solid line because the sign is "≥". (This is the red inequality on the graph.)

To graph x ≤ -1, draw the line x = -1 and then shade to the left of it and keep it a solid line because the sign is ≤. (This is the blue inequality on the graph.)

The solution set to this system will be the area where the two shaded regions overlap, which is the purple area on the graph below. Hope this helps!

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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

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

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
At a TV.repair shop, the amount charged for labor depends on the time the
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Answer:

A. Amount(hours worked)  

Step-by-step explanation:

Function notation is a way of converting a written description of a function to a concise form that is easy to read.

It is another way of representing the y-value in a function, y = ƒ(something)

Let's convert the word expression to function notation:

  • "The amount charged for labour depends on the time the repair technician works."
  • "The amount depends on the hours worked."
  • "The amount is a function of the hours worked."
  • Amount = amount(hours worked)
  •           y = a(h)

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Step-by-step explanation:

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