MATHEMATICS HIGH SCHOOL

Solutions for 12 – x2 = 0?

Answers

Answer 1
Answer: Answer:   x =  ±  2 √3 ;  or,  write as:   x  =   ± 3.464  .
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Given:  12 – x² = 0 ; 

Multiply BOTH side by "-1" ;
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-1 (12 – x² = 0) ;

to get:

-12 + x² = 0 ;

Rewrite as:

x²  - 12 = 0 ;

Add "12" to both sides; to get: 

x² = 12 

Take the square root of each side:

√(x²) = ±√(12)

x = ± √(12) 
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√(12) = √(4) * √(3) = 2 √(3)

√(12) = 3.4641016151377546 ; round to:  3.464 .
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x = ± √(12) ;
____________________________________________________
x =  ±  2 √3 ; or, write as:  x =  ± 3.464 .
____________________________________________________

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Which r–value represents the strongest negative correlation?A. –0.7
B. –0.22
C. 0.38
D. 0.9

Answers

The best answer to the statistics question above would be letter A. The r-value that represents the strongest negative correlation among the given choices would be -0.7. This is because the magnitude of the correlation ranges from .7 to .9 which indicates a strong correlation. The negative sign connotes the negative relationship.

Answer:

A.

Step-by-step explanation:

Find the mode.19, 1, 17, 19, 3, 20, 5, 2


A. 10.75
B. 11
C. 19
D. 20

Answers

The answer is C. 19

Rearrange the series from the lowest to the highest value:
1, 2, 3, 5, 19, 19, 20

The mode is the value that occurs most frequently. Number 19 is found twice, so it is the mode.
The correct answer is C. 19

Edgar Anderson earns $300 a week plus a 15% commission on all sales over $1,000. If Mr. Anderson's sales for one week are $2,500, what is his gross pay for that week?

Answers

Basic amount that Edgar Anderson earns per week = $300
Sales of Mr. Anderson for one week = $2500
Percentage of commission on sales above $1000 = 15%
Then
Amount of commission
earned for the week = [2500 - 1000] * (15/100) dollars
                                 = 1500 * (15/100) dollars
                                 = 15 * 15 dollars
                                 = 225 dollars
Then
Gross pay of Edgar Anderson for the week = (300 + 225) dollars
                                                                     = 525 dollars
So the gross pay of Edgar Anderson for the week is $525.
                                           

Select the inequality that models the problem. The sum of two consecutive odd integers is at least 80.

A: n + n + 2 ≥ 80
B: n+ n + 2 > 80
C: n + n + 1 ≥ 80
D: n + n + 1 > 80

Answers

You can use the fact that the term "at least" means less than or equal to.

The inequality that models the given problem is given by

Option A: n + n + 2 ≥ 80

How to form the inequality that models the problem?

We can convert the descriptions to mathematical symbols.

There is sum of two consecutive odd integers.

Consecutive means near each other in numbers counting. Since they are odd, and consecutive, thus, with difference of 2.

Let first odd number be n, then other will be n+2

Their sum is n+n+2

It is at least 80 thus, 80 or bigger than that.

Thus,

n+n+2 ≥ 80

That symbol ≥ is called bigger or equal and it means left side is either bigger or equal to the right value.

Thus,

The inequality that models the given problem is given by

Option A: n + n + 2 ≥ 80

Learn more about inequalities here:

brainly.com/question/11901702
n + (n + 2) ≥ 80
  n + n + 2 ≥ 80
       2x + 2 ≥ 80
            - 2    - 2
             2x ≥ 78
              2      2
              x ≥ 39

The answer is A.

How do you write 21.035 in expanded form and written form

Answers

Expanded form:

21,035*10^-3

I’m trying to do this equation but don’t know where the 2 came from when you square it. Can somebody explain where the 2x come from? The 2x on the right side

Answers

okay so at the bottom it says square both sides so you have to square (x+1). when you do that you're basically just doing (x+1)(x+1) and you just use the foil method and end up with x^2 + 2x + 1
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