geno3141

A linear regression model is the equation of a straight line that best approximates the data.

You need to check to see if the r-value of the model is statistically significant before you use the equation to make predictions.

96 = 12(2^x)     Divide both sides by 12:

8 = 2^x             Now, ask yourself, "2 to what power is 8?"; well, that is 3.

x = 3   because  2^3 = 8

You can also do this:

log(16) = 4x

(1/4)log(16) = x

But any multiplied can go inside as an exponent:

(1/4)log(16)  =  log(16^(1/4))

And, since 16 = 2^4:  log(16^(1/4))  =  log( (2^4) ^(1/4) )  =  log(2)

If, for instance, the formula gives you  (-6 ± √37) / 5

either leave it like that 

or find a decimal approximation: (-6 ± 6.083) / 5    which reduces to 0.0166 and -2.4166.

If the radical can be reduced, such as √48, reduce it:  4√3,  so (3 ± √48) / 6  becomes  (3 ± 4√3) / 6 

Then, if you want to make it into a decimal, you can.

In all cases, follow the instructions of your teacher.

When you add or subtract common fraction, you must use a common denominator.

Since 2 divides evenly into 8 (4 times), use 8 as the common denominator.

Change 1/2 into a faction with a denominator of 8 by multiplying 1/2 x 4/4, giving you 4/8

-3 5/8  -  1 1/2       --->     - 3 5/8 - 1 4/8

Since these are both negative, add them together, giving you -4 9/8.

9/8  =  1 1/8, so the answer is -5 1/8      

-(-12m)  = + 12m

So, you have:  m - 5 + 12m            (Adding m to 12m, you get 13m)

        =  -5 + 13m     or     13m - 5

In class A:  20 students each raising $18.00:  20 x $18.00  =  $XXX.XX

In class B:  24 students.  Since each student raised twice as much money as each student in class A did, each                                         student raised $18.00 x 2 or $YY.YY.

                 24 students each raising $YY.YY:  24 x $YY.YY  =  $ZZZ.ZZ

The two classes together raised  $XXX.XX + $ZZZ.ZZ  =  $WWWW.WW

Since one charity received 3 times the other, one charity received 1/4 of the total while the other charity received 3/4 of the total. Find 1/4 and 3/4 of $WWWW.WW

3 - 4  =  3 + -4  =  -1

To add common fractions , you need a common denominator; a common denominator of 6 and 4 is 12, because both 6 and 4 divide into 12 without a remainder.  

Because 12 ÷ 6  =  2; multiplty 1/6 by 2/2.

Because 12 ÷ 4  =  3; multiply 1/4 by 3/3.

(1/6)x(2/2)  =  2/12

(1/4)x(3/3)  =  3/12

9 1/6 + 6 1/4     =     9 2/12 + 6 3/12    =     15 5/12    

     (Add the whole numbers together; add the fractions together.)

Factors are numbers or variables that are multiplied together.