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3 years ago

Find the number of real number solutions for the equation x^2-3+8=0

1 answer:

5 0

Find value of determinant.
The determinant is a term that is inside a square root and part of the quadratic formula used for solving quadratic equations.
Let determinant be 'd'.
If d >0, Then there are 2 real solutions
If d = 0, Then there is only 1 real solutions
If d < 0, Then there are 0 real solutions but 2 imaginary solutions

d = b^2 - 4ac

For this problem, the coefficients are:
a = 1, b = -3, c = 8

d = (-3)^2 - 4(1)(8)

d = 9 -32 = -23

d is less than 0, therefore there are 0 real solutions and 2 imaginary solutions.

This is true because you cannot take square root of a negative number.

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The mean exam score for the first group of twenty examinees applying for a security job is 35.3 with a standard deviation of 3.6

babymother [125]

The scores of two groups can be compared using coefficient of variation;

Coefficient of variation (C.V.) = (Standard Deviation/ Mean) × 100%;

For Data set 1;

Standard deviation = 3.6

Mean = 35.3

C.V. = (3.6/35.3) × 100%;

= 10.19%

For Data set 2;

Standard deviation = 0.5

Mean = 34.1

C.V. = (0.5/34.1) × 100%;

= 1.46%

To learn more about coefficient of variation, visit: brainly.com/question/24131744

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6 0

1 year ago

A group of 266 persons consist of men , women and children and there are four times as many men as children and twice as many wo

klasskru [66]

Answer:

see explanation

Step-by-step explanation:

Let c represent the number of children, then

number of men = 4c and number of women = 2c

Sum the numbers of each and equate to 266

4c + 2c + c = 266, that is

7c = 266 ( divide both sides by 7 )

c = 38

Thus

4 × 38 = 152 and 2 × 38 = 76

The group consists of 38 children, 152 men and 76 women

3 0

3 years ago

What is the 9th term of the geometric sequence 4, −20, 100, …?

sveta [45]

First, we are going to find the common ratio of our geometric sequence using the formula: $r= \frac{a_{n}}{a_{n-1}}$ . For our sequence, we can infer that $a_{n}=-20$ and $a_{n-1}=4$ . So lets replace those values in our formula:
$r= \frac{-20}{4}$
$r=-5$

Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
$a_{n}=4*(-5)^{n-1}$

Finally, to find the 9th therm in our sequence, we just need to replace $n$ with 9 in our explicit formula:
$a_{9}=4*(-5)^{9-1}$
$a_{9}=4*(-5)^{8}$
$a_{9}=1562500$

We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>

4 0

3 years ago

How to write one hundred seventy five and one hundred fifty five thousandth in standard form

Tpy6a [65]

One hundred seventy five__ 175
one hundred fifty fice thousand__1075

7 0

3 years ago

HELP ME HURRY <br> Which graph best represents an equation with the values shown in the table?

masha68 [24]

The first graph one

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3 years ago