geno3141

The domain is the set of all possible x-values of the equation.If you have a particular equation in mind, re-post.

Since  sec  =  1/cos,  sec(x)  =  1.834   --->   cos(x)  =  1/1.834   --->   cos(x)  =  0.545

--->   x  =  cos^-1(0.545)  =  57^o  (approx) 

Since  cos(360^o - x)  =  cos(x), x could equal  360^o - 57^o  =  303^o.

Solving for x in the literal equation cx + 7  =  3:

Subtract 7 from both sides:                 cx  =  -4

Divide both sides by c:                         x  = -4/c

I think that ou should slightly change it because an exponential equation has a variable as an exponent.

If you change it to:  3^x = 27 and then show that since 27 = 3³,  3^x = 3³ which shows that x = 3.

Since there so many 3s in that explanation, I suggest that you might use:  2^x = 32  and since 32 = 2⁵,  2^x = 2⁵, which shows that x = 5.

You can get a sum of 23 by selecting a 5 from the first set and an 18 from the second set

                                     or selecting a 9 from the first set and a 14 from the second set.

The probability of selecting a 5 from the first set is 1/4 and the probability of selecting an 18 from the second set is 1/5, so the probability of selecting a 5 from the first set and an 18 from the second set is  1/4 x 1/5  or  1/20.

The probability of selecting a 9 from the first set is 1/4 and the probability of selecting a 14 from the second set is 1/5, so the probability of selecting a 9 from the first set and a 14 from the second set is  1/4 x 1/5  or  1/20.

The probability of doing either of these two is found by adding the individual probabilities together:  1/20 + 1/20  =  1/10.

The answer is 1/10.

-15  =  -11 + v

To remove the  -11 from the right side of the equation, add  11  to both sides:  -15 + 11  =  -11 + 11 + v

Since  -15 + 11  =  -4,                                                                                          -4  =  v

Write each number using the same denominator; one common denominator = 100.

3/10    =  30/100

9/20    =  45/100

17/25  =  68/100

3/5     =  60/100

Now, compare numerators:  30/10  <  45/100  <  60/100  <  68/100

So, 3/10  <  9/20  <  3/5  <  17/25

Problem:  9 - j  =  10.

Procedure:  get the variable alone on one side.

First:  remove 9 from the left side by subtracting 9 from both sides:  (9 - j) - 9  =  10 - 9

Simplify:  - j  =  1

To solve for j, we need to eliminate the - sign from the left side; multiply both sides by -1:

     -1( -j )  =  -1(1)

Simplify:  j  =  -1

For all real non-zero numbers, x⁰ = 1,

If x = 0, then there is no answer; 0⁰ can have different values, depending upon how it was constructed.

If your expression is \(u = { \sqrt{f(x)}}\)

then u  =  ( f(x) )^1/2,

so  u'  =  (1/2) ( f(x) )^-1/2 f'(x).

As an example:  if \(u = {\sqrt{sin(x)} }\)

then  u'  =  (1/2) [sin(x)]^-1/2 cos(x)