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2 years ago

How can we simplify radicals involving negative values?

Mathematics

1 answer:

RSB [31]2 years ago

4 0

Answer:

using imaginary numbers

Step-by-step explanation:

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An experiment consist of rolling Two fair number cubes. find the probability of each event.

slega [8]

Probability = (number of possible successes) / (number of total possibilities).

Number of total possibilities:
Each cube can come up in 6 different ways.
Total number of possibilities = 6 x 6 = 36

Possible successes:
There are 2 different ways to roll a 3 . . .

1 . . . 2
or
2 . . . 1

The probability is 3/36 = 1/12 = 0.0833... = (8 and 1/3) percent

5 0

2 years ago

The function shown below was created to track the different intervals of speed that an automobile travels over a period of 28 se

Ksenya-84 [330]

Answer:

1. The car is slowing down at a rate of 2.5mph/s

2. The greatest acceleration is 10 mph/s.

3. In the interval 4s to 16s the speed remains constant and has magnitude 25 mph.

Step-by-step explanation:

1. The deceleration of the car is from 16 seconds to 24 seconds is the slope $m$ of the graph from 16 to 24:

$m=\dfrac{\Delta speed }{\Delta time } = \dfrac{5-25}{24-16} =-2.5mph/s$

the negative sign indicates that it is deceleration.

2. The automobile experiences the greatest change in speed when the slope is greatest because that is when acceleration/deceleration is greatest.

From the graph we see that the greatest slope of the graph is between 28 and 24 seconds. The acceleration the interval is the slope $m$ :

$m= \dfrac{45-5}{28-24}= 10mph/s$

3. The automobile experiences no acceleration in the interval 4 s to 16 s—that's the graph is flat.

The speed of the automobile in that interval, as we see from the graph, is 25 mph.

7 0

3 years ago

Read 2 more answers

The sum of the measures of two complementary angles exceeds the difference of their measures by 72°. Find the measure of the sma

Neporo4naja [7]

First we need to define our conditions. Since the angles are complimentary, the sum of the angles must be equal to 90 degrees.

let x = first angle
y = second angle

x + y = 90

from the second condition in the problem

x + y =72 + x -y
solving for x

x= 54

therefore the shorter side is 90 - 54 = y

y = 36 degree, the shorter side

8 0

3 years ago

Translate to an algebraic expression: 15 less than six times a number, y.

Natalija [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

6x^2-5x+1 Factor polynomial

Tamiku [17]

6x²-5x+1
=6x²-3x-2x+1
=3x(2x-1)-1(2x-1)
=(3x-1)(2x-1)

8 0

3 years ago