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aleksandrvk [35]
2 years ago
11

How many zeros does the function f(x) = 2x14 − 14x6 + 27x3 − 13x + 12 have?

Mathematics
1 answer:
s2008m [1.1K]2 years ago
4 0
<span>The function f(x) = 2x^14 − 14x^6 + 27x^3 − 13x + 12 has 2 zeros. </span>
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9) In the standard co-ordinate system, which of the following points in the greatest distance from origin? A. (-4, -1) B. (-3, 3
ludmilkaskok [199]

The point with the greatest distance to the origin is given by:

B. (-3, 3).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:

D = sqrt(x² + y²).

Hence the distances for each point given in the problem are:

  • A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
  • B. Distance = sqrt((-3)² + (3)²) = sqrt(18).
  • C. Distance = sqrt((4)² + 0²) = sqrt(16).
  • D. Distance = sqrt((2)² + 3²) = sqrt(13).

Hence option B has the greatest distance.

More can be learned about the distance between two points at brainly.com/question/18345417

#SPJ1

7 0
1 year ago
You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an
ASHA 777 [7]

Answer:

a

  Yes

b

 P(1 \& 5) = \frac{1}{36}

c

 P(5 \& 1) = \frac{1}{36}

d

 P(5 \& 1 | 1\& 5  ) = \frac{1}{18}

Step-by-step explanation:

From the question we are told that

     Two fair dice, one green and one red were rolled

Generally the  outcomes on the dice independent because the outcome on the first dice is not affected by the second die

Generally the  probability of getting a 1  on a dice rolled is  P(1) =  \frac{1}{6}

the  probability of getting a 5 on a dice rolled is  P(5) =  \frac{1}{6}

Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as

         P(1 \& 5) = \frac{1}{6}  *\frac{1}{6}

         P(1 \& 5) = \frac{1}{36}

Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as

          P(5 \& 1) = \frac{1}{6}  *\frac{1}{6}

         P(5 \& 1) = \frac{1}{36}

Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as

          P(5 \& 1 | 1\& 5  ) = \frac{1}{36} + \frac{1}{36}

         P(5 \& 1 | 1\& 5  ) = \frac{1}{18}

8 0
3 years ago
4 days ago, Emily blew up a balloon (that is a perfect sphere) to a radius of 5cm. Since then, the balloon has lost air and decr
Elan Coil [88]

Answer:

27/125

Step-by-step explanation:

3 0
3 years ago
A small garden measures 8 ft by 7 ft. A uniform border around the garden increases the total area to 110 ft 2. What is the width
Alik [6]

Answer: 3

Step-by-step explanation:

You can answer this question by using the equation

(8+x)(7+x)=110

The x represents the width, as we do not know the area. If you simplify the equation, it becomes 56+15x+x2=110.

If you move all the terms to the left side, and rearrange it, it can become x^2+15x-54=0

This can be simplified into (x-3)(x+18)=0

This equation makes it so that x is either 3 or -18. It is not possible for a width to be -18, so the width must be 3.

8 0
3 years ago
Alaska has 1,700,000 square kilometers. Flordia has a landarea one tenth the size of Alaska. What is the landarea of Florid
Scrat [10]
The land area of Florida is 170 000 square kilometres, this is because 1 700 000 divided by 10 is 170 000. 
8 0
3 years ago
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