gwenspooner85

Speed= distance/time.

We plug in the given expressions for distance and time.

Speed=

 \(\frac{\frac{4}{3x-6}}{\frac{8}{9x-18}}\\ =\frac{4}{3x-6}\cdot\frac{9x-18}{8}\\ =\frac{1\cdot3}{1\cdot2}\\ =\frac{3}{2}\)

This is 3/2 feet per second.

It's simple...count 7 units right and 6 units up so the point is B.

Let the first number be x. The third number is x+4. The second number 3(x+4)+5=3x+12+5=3x+17.

Add these ages together.

x+(x+4)+(3x+17)=16

5x+21=16

5x=-5

x=-1.

Hi, some things are missing from this question.Check over carefully.

\(\frac{6}{7}=0.\overline{857142}\)

The six digits 857142 repeat. We divide 100 by 6 to get 16 r 4. The 6 digits are repeated only 16 times. The remaining four are not. The fourth number in this group is 1.

Edit: Oops somehow I got a two.

We're looking for values of x where the y point is -1. Looking at the graph, we draw a horizontal line for y=-1. There are 4 values of f(c)=-1.

Use the equation for a term of an arithemetic sequence: a+d(n-1), where a is the first term, r is the common difference, and n is the term you are trying to find the value of.

From the first sentence we form the equation:

a+d(4)=9--->a+4d=9

a+d(31)=-84--->a+31d=-84

Now we have a system of equations and solve to get a=205/9 and d=-31/9.

So the 23rd term is

205/9-31/9(23-1)

=205/9-31/9*22

=-53

Look for a pattern in the (x+y) terms. The (x-y) terms remain the same.

Have you tried anything at the very least? and what counting and probability topic is this?