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babymother [125]
2 years ago
6

Please help with this Math Question...

Mathematics
1 answer:
Nataly [62]2 years ago
5 0

Answer: A

<u>Step-by-step explanation:</u>

f(x) = x³ + 4x² + 7x + 6

possible rational roots are ±{1, 2, 3, 6}

Try x = -2

-2 |   1   4   7   6

   <u>|   ↓  -2  -4  -6</u>

       1    2    3   0 ← remainder is 0 so x = -2 is a root  ⇒  (x + 2) = 0

The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.

a=1, b=2, c=3

x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\dfrac{-(2)\pm\sqrt{(2)^2-4(1)(3)} }{2(1)}

x=\dfrac{-2\pm\sqrt{4-12} }{2}

x=\dfrac{-2\pm\sqrt{-8} }{2}

x=\dfrac{-2\pm2i\sqrt{2}}{2}

x = -1 \pm i\sqrt{2}

x = -1 + i\sqrt{2}       x = -1 - i\sqrt{2}

x - (-1 + i\sqrt{2})=0       x - (-1 - i\sqrt{2})=0

The factors are:

(x - 2)[x - (-1 + i\sqrt{2})][x - (-1 - i\sqrt{2})]




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Evaluate x2 + 14 for x = –5.
algol13

Answer: A) JUST TOOK THE TEST

Step-by-step explanation:

5 0
3 years ago
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The sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age, how old is Mel?
olga55 [171]

Answer:

Age of Mel is 25 years.

Step-by-step explanation:

It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.

Let 'x' be the Ali's age  and 'y' be the Mel's age

<u>To find the value of x and y</u>

sum of Ali and Mel's age is 39

⇒ x + y = 39    ------(1)

  Mel is 3 years younger than twice Ali's age

⇒ y = 2x - 3   -------(2)

⇒  2x - y = 3  -----(3)

(1) + (3) ⇒  

 x + y = 39

2x - y = 3

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

3x   = 42

x = 42/3 = 14

y = 2x - 3 = 14*2 - 3  = 25

Therefore the age of Ali = 14

Age of Mel = 25

4 0
3 years ago
Felicity's dog eats no more than two cups of dog food per day. Felicity's dog eats at least one-quarter cup more than one-half o
horrorfan [7]

Answer:

\frac{1}{4}+\frac{m}{2}   \leq x\leq 2

x denotes amount of food that Felicity's dog eats

Step-by-step explanation:

Given:

Felicity's dog eats no more than two cups of dog food per day.

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats.

The amount of food that Martin's dog eats is represented by using m

To find: the inequality that represents the situation

Solution:

Amount of food that Martin's dog eats = m

Amount of food that Felicity's dog eats ≤ 2

Also,

Amount of food that Felicity's dog eats \geq \frac{1}{4}+\frac{m}{2}

Therefore,

\frac{1}{4}+\frac{m}{2}\leq Amount of food that Felicity's dog eats ≤ 2

Let x denotes amount of food that Felicity's dog eats.

\frac{1}{4}+\frac{m}{2} ≤ \frac{1}{4}+\frac{m}{2}   \leq x\leq 2

3 0
3 years ago
Rewrite as a simplified fraction.
Sauron [17]

Answer:

0.2 = 2/9

Step-by-step explanation:

Hope my answer has helped you!

5 0
3 years ago
Peter answered 15 questions on a quiz and obtained 29 points. If 3 points were given for each correct answer and one point deduc
nalin [4]

Answer: peter got 11 right and 4 wrong

Step-by-step explanation: So when he answers 11 answers correctly he gains 33 points so he loses 4 points from the remaining 4 wrong answers.

8 0
3 years ago
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