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kumpel [21]
4 years ago
6

Select the correct answer.

Mathematics
1 answer:
Tju [1.3M]4 years ago
7 0
The second option is the answer
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Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ?
Alja [10]

Using the factor theorem, it is found that the polynomial is:

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

Given by the first option

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

Given a polynomial f(x), this polynomial has roots x_{1}, x_{2}, x_{n} using the factor theorem it can be written as: a(x - x_{1})*(x - x_{2})*...*(x-x_n), in which a is the leading coefficient.

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

In this question:

  • x_1 = 2
  • x_2 = \sqrt{3}
  • x_3 = -\sqrt{3}
  • By the options, leading coefficient a = 1

Thus:

f(x) = (x - 2)(x - \sqrt{3})(x + \sqrt{3})

f(x) = (x - 2)(x^2 - 3)

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

Which is the polynomial.

A similar problem is given that: brainly.com/question/4786502

5 0
3 years ago
Please help me
nikklg [1K]

Answer:

2. $1,100 in clothing sales gives Rachel a $260 paycheck

3 $.2,200 in clothing sales gives Rachel a $370 paycheck

5. $10,800 in clothing sales gives Rachel a 1,230 paycheck

Step-by-step explanation:

Here is the complete question :

Rachel works for a clothing store. She is $150 paid every week plus a 10% commission on any clothes that she sells. Which of the following is true in regards to Rachel's weekly paycheck? Chose three correct answers.

1. $100 in clothing sales gives Rachel a $250 paycheck

2. $1,100 in clothing sales gives Rachel a $260 paycheck

3 $.2,200 in clothing sales gives Rachel a $370 paycheck

4. $ 4,200 in clothing sales gives Rachel a $420 paycheck

5. $10,800 in clothing sales gives Rachel a 1,230 paycheck

6. $ 16,000 in clothing sales gives Rachel a 1,450 paycheck

The equation representing Rachel's paycheck = amount she earns every month + commission

If she makes  $100 in clothing sales, her paycheck = $150 + (0.1 x 100) = $160

If she makes  $1100 in clothing sales, her paycheck = $150 + (0.1 x 1100) = $260

If she makes  $2200 in clothing sales, her paycheck = $150 + (0.1 x 2200) = $370

If she makes  $4200 in clothing sales, her paycheck = $150 + (0.1 x 4200) = $570

If she makes  $10800 in clothing sales, her paycheck = $150 + (0.1 x 10800) = $1230

If she makes  $16000 in clothing sales, her paycheck = $150 + (0.1 x 16000) = $1750

thus the correct options are 2,3,5

4 0
3 years ago
What is the product of the polynomials below?
Anna35 [415]
The answer is letter C
5 0
3 years ago
Find the slope of the line that passes through (3, 6) and (8, 7)
Mnenie [13.5K]

Answer:

The slope of this line is <u>1/5</u>

Step-by-step explanation:

You can find the answer easily by graphing the problem. In doing so, you will find the slope (rise over run) to be one over five. This is because you rise one unit, and run five.

8 0
2 years ago
Kiran has 10 1/2 feet of lumber and wants to make a bookshelfKiran needs two side panels that are each 5 2/3 feet. How much more
eimsori [14]

Total height of lumber, H = 10 1/2 feet = 21/2 feet .

Height of side panel, h = 5 2/3 feet = 17/3 feet .

Now,

Extra lumber required, L = 2 × Height of side panel - Total height of lumber

L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet

Therefore, extra lumber required is \dfrac{5}{6} feet.

Hence, this is the required solution.

4 0
3 years ago
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