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liq [111]
3 years ago
11

The following table shows the monthly defect rate for a product at a manufacturing company.

Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0

Answer:

3

Step-by-step explanation:

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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
Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking.
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

1) A = x

Flower garden is in rectangular shape. In rectangle, opposite sides are equal.

2)  The entire garden is in rectangular shape. In rectangle, opposite sides are equal.

B + x+ 4 = 10x + 6

Take x and 4 to other side to find the value of B. When taking to other side of equal to sign, the sign of x and 4 will change

B = 10x + 6 - x  - 4

B = 10x - x + 6 - 4   {Combine like terms}

B = 9x + 2

3)  C + x -2 = 5x -3

   C = 5x - 3 - x  +2

C = 5x -x - 3 + 2

C = 4x - 1

4) Area of Vegetable garden = length * width

                                                = (5x - 3) * (9x + 2)

Use FOIL method

                                               = 5x *9x  + 5x*2  + (-3)*9x + (-3)*2

                                                = 45x²  + 10x - 27x - 6  

                                                = 45x² - 17x - 6

5 0
3 years ago
If the initial amount of iodine-131 is 537 grams , how much is left after 10 days?
viktelen [127]

Answer:

225.78 grams

Step-by-step explanation:

To solve this question, we would be using the formula

P(t) = Po × 2^t/n

Where P(t) = Remaining amount after r hours

Po = Initial amount

t = Time

In the question,

Where P(t) = Remaining amount after r hours = unknown

Po = Initial amount = 537

t = Time = 10 days

P(t) = 537 × 2^(10/)

P(t) = 225.78 grams

Therefore, the amount of iodine-131 left after 10 days = 225.78 grams

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3 years ago
For the standard normal probability distribution, the area to the right of the mean is:
sveticcg [70]
The answer is 0.5. I hope this is helpful.
7 0
3 years ago
Find the least common multiple of these two expressions 8v^5w^8 and 14
Morgarella [4.7K]
True..............................................
4 0
3 years ago
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