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kakasveta [241]
3 years ago
10

Find a cubic function with the given zeros. -6, 7, -4

Mathematics
1 answer:
Nookie1986 [14]3 years ago
7 0
f(x)=a(x-x_1)(x-x_2)(x-x_3)\\\\x_1=-6;\ x_2=7;\ x_3=-4\\\\f(x)=(x+6)(x-7)(x+4)=(x^2-x-42)(x+4)\\\\=x^3+3x^2-46x-168
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Find the missing side or angle. Round to the nearest tenth.
Ivanshal [37]

Answer:

<h2>A = 22.6°</h2><h2>B = 67.4°</h2>

Step-by-step explanation:

Trigonometry:

S\frac{O}{H} C\frac{A}{H} T\frac{O}{A}

Use Sine when you have the Opposite and the Hypotenuse.

Use Cos when you have the Adjacent and the Hypotenuse.

Use Tan when you have the Opposite and the Adjacent.

The Opposite is opposite the angle.

The Adjacent is next to the angle

The Hypotenuse is opposite the right angle.

<u>Angle A:</u>

Use Tan when you have the Opposite and the Adjacent.

Tan-1\frac{5}{12} = 22.6198... ~ 22.6°

<u></u>

<u>Angle B:</u>

Use Tan when you have the Opposite and the Adjacent

Tan-1\frac{12}{5} = 67.380... ~ 67.4°

22.6° + 67.4° + 90° = 180°

6 0
3 years ago
Suppose that the probability of landing an interview after applying for a professional position is 0.13. A job seeker applies fo
andrew11 [14]

Answer:

The expected number of interviews is 3.25.

Step-by-step explanation:

For each person applying for a profissional position, there are only two possible outcomes. Either they land an interview, or they do not. The probability of a person landing an interview is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

In this problem, we have that:

n = 25, p = 0.13

So

E(X) = np = 25*0.13 = 3.25

The expected number of interviews is 3.25.

8 0
4 years ago
If f(x)=4x^2+1 and g(x)=x^2-5 find (f-g)(x)​
vodka [1.7K]

Answer:

Answer: 5x² - 4

Step-by-step explanation:

f(x) = 4x² + 1

g(x) = x² - 5

Then

(f + g)(x) = 4x² + 1 + x² - 5

             = 5x² - 4

Answer: 5x² - 4

8 0
3 years ago
train A arrives at the station at 11:50 Am and leaves the station at 1:50 PM.how long does it stay in the station?​
gtnhenbr [62]

Answer:

2 hrs.

Step-by-step explanation:

11:50am ----> 12:50pm (1 hr.)

                                      +

12:50pm ---> 1:50pm    (1 hr.)

                                         = 2 hrs

4 0
3 years ago
Help pleaseee!!!!!!!
Crank

Answer:

1. 180

2. 300

3. 480

Step-by-step explanation:

1. Since 30% of 600 (or 0.3 * 600) = 180, the 1st blank is 180.

2. 50% of 600 (also easy to just think of one half {1/2}) = 300

3. Because 180 + 300 = 480

hope this helps:)

4 0
2 years ago
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