geno3141

Which expression?

The domain holds all teh numbers that you enter for x.

When x = 0:  y  =  (1/2)(0) + 1  =  1

When x = 1:  y  =  (1/2)(1) + 1  =  1.5

Continue this, for x = 2, 3, 4, and 5.

Your answer will be the set of all these answers.

ln(2x + 3) = 7

In exponential form:  2x + 3  =  e^7

So:                                   2x  =  e^7 - 3

and:                                   x  =  (e^7 - 3) / 2

                                          x  =  546.817

Density is found by dividing the mass by the volume.

Sinc you know a point and a slope, use the point-slope form:  y - y1  =  m(x - x1)

x1 = -1     y1 = -3     m = -3                                  --->       y - -3  =  -3(x - -1)

                                                                                        y +31  =  -3(x + 1)

                                                                                        y + 3  =  -3x - 3

                                                                                              y  =  -3x - 6

Use the distributive property on both sides:

-3(5 - 15n)  =  (-3)(5) - (-3)(15n)  =  -15 + 45n

15(3n - 2)  =  (15)(3n) - (15)(2)  =  45n - 30

-3(5 - 15n)  =  15(3n - 2)

-15 + 45n  =  45n - 30

Subtract 45n from both sides:

-15  =  -30

When the variable disappears, there are two cases:

if the left side equals the right side, then all numbers work;

if the left side doesn't equal the right side, then no numbers work.

Since the left side doesn't equal the right side, no numbers work; your answer is the empty set.

the equation is:  y  =  5500ln(9t + 4)   and  t = 6

--->   y  =  5500ln(9(6) + 4)

--->   y  =  5500ln(58)

--->   y  =  22332

1 - e^1.2  =  -2.320  (approximately)

The surface area of a cone, not including the base, is:  SA  =  π·r·√(h² + r²)

Since the diameter is 12', the radius is 6'.

SA  =  π(6)√(8² + 6²)  =  6π√100  =  60π

The equation of the line is:  2x - 7y  =  35.