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nika2105 [10]
4 years ago
11

Write your question here

Mathematics
1 answer:
kobusy [5.1K]4 years ago
4 0

Answer:

f(x) = x³ + 10x² + 27x + 18

Step-by-step explanation:

Given the zeros x = - 3, x = - 6 and x = - 1

Then the factors are (x + 3), (x + 6), (x + 1)

and the polynomial is the product of the factors, that is

f(x) = (x + 3)(x + 6)(x + 1) ← expand the first 2 factors using FOIL

     = (x² + 9x + 18)(x + 1) ← distribute

     = x³ + 9x² + 18x + x² + 9x + 18 ← collect like terms

     = x³ + 10x² + 27x + 18

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Pls help me solve the question I Need to finish quickly
Effectus [21]
45: 100% - 17% = 83%

47: 44/2 = 22 
      22 - 1 = 21

See attached file

4 0
3 years ago
Solve the equation. Round to the nearest hundredth. Show work.
Elis [28]

Answer:

The value of x = 0.41

Step-by-step explanation:

∵ 6e^{2x}-5e^{x}=6

Let e^{x}=y

∴ e^{2x}=y^{2}

∴ 6y² - 5y = 6

∴ 6y² - 5y - 6 = 0 ⇒ factorize

∴ (3y + 2)(2y - 3) = 0

∴ 3y + 2 = 0 ⇒ 3y = -2 ⇒ y = -2/3

∴ 2y - 3 = 0 ⇒ 2y = 3 ⇒ y = 3/2

∵ y=e^{x}

∴ e^{x}=\frac{-2}{3} ⇒ refused

  (e^{ax} never gives -ve values)

∵ e^{x}=3/2 ⇒ insert <em>ln</em> in both sides

∵ lne^{ax}=axlne=ax ⇒ <em>ln</em>(e) <em>= 1</em>

∴ xlne=ln(3/2)

∴ x = ln(3/2) = 0.41

6 0
4 years ago
a student has scores of 74%, 78% and 70% on three exams. What score is needed on a fourth exam for the student to earn an averag
Anna [14]

(74 + 78 + 70 + x) / 4 = 80

Divide each number by 4.

18.5 + 19.5 + 17.5 + x = 80

Add the numbers you know so far.

18.5 + 19.5 + 17.5 = 55.5

You need 24.5.

Now, since we divided all the others by 4, we have to multiply 24.5 by 4 to see what the exam score would be.

24.5 * 4 = 98.

To get an average of 80%, the student would need to get a 98 on their fourth exam.



5 0
3 years ago
What is the meaning of the unknown factor and quotient? <br> 24 divided into 4=___<br> 4x___=24
Alborosie
Your answer will be 6. The reason it is six is that 24/6 = 4 and 4 X 6=24.
7 0
4 years ago
5000 is 1 tenth of what number
maria [59]
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4 0
3 years ago
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