geno3141

y  =  0.05 - 10ln(0.09)

Enter this expression into this site's calculator to get a decimal approximation.

-3m³n(2m²n³)

= -6m^5·n^4                    When multiplying numbers with the same base, add their exponents.

(x³ - x)(3x² + 4)

FOIL:

(x³)(3x²) + (x³)(4) - (x)(3x²) - (x)(4)

3x^5 + 4x³ - 3x³ - 4x

3x^5 + x³ - 4x

3ln3 + 4lnb

A multiplier goes into a logarithm as an exponent:

ln(3^3) + ln(b^4)                 (3^3 = 27)

If the logs are added, it means that the original numbers were multiplied:

ln(27b^4)

An equation for the line that passes through the point (4, 5) with a slope of 6 can be found using the point-slope formula:  y - y1  =  m(x - x1).

In this problem, m = 6, x1 = 4, and y1 = 5:

      y - 5  =  6(x - 4)

     y - 5  =  6x - 24

     y  =  6x - 19

If x = 24:

     y  =  6(24) - 19

     y  =  125

To  make this easier to type, I'm going to replace f(x) with y, to give the equation:

    y  =  x² - 9

To find the inverse, use this two-step process:

Step 1:  interchange x and y:

    x  =  y² - 9

Step 2:  solve for y:

   x + 9  =  y²

    y²  =  x + 9

    y  =  ±√(x + 9)

In theis case, the inverse is not a function.

4(a - 3b)

Replaceing a with -4 and b with 6:

4( -4 - 3(6) )

4( -4 - 18 )

4(-22)

-88

2x + 3y  =  5

If you are solving for y, move the x-term fromm the left side by subtracting 2x from both sides:

     3y = 5 - 2x

Now, divide both sides by 3:

      y  =  (5 - 2x) / 3

Thc calculator at this sie will evaluate this for you.

But first, is the missing parenthesis important?

The answer is close to 0.07. 

I'm not sure what you're trying to do.

If you are trying to make one fraction out of it, change the + 1 into + x²/x²,

then 1/x² + 1 becomes 1/x² + x²/x²  = (1 + x²) / x²