Alan

There are an infinite number of solutions to this.  For example, just set y = -x and set z = 2.

Not clear what you intend the first one to be!  Does it have log_x2 or log_x(something²) ?

Groan!!

Use speed = distance/time to find her initial speed = 100/5 = 20 mph

Hence speed in last part of the trip = v2 = 40 mph

Distance travelled in first part of trip = 100 miles

Distance travelled in second part of trip d2 = 300 - 100 = 200 miles.

Time taken for second part of trip = distance/speed = d2/v2 = 200/40 = 5 hours.

b/g = 4  or  b = 4g  (1)

b = g + 33   (2)

Can you use these two equations to find b and g and hence the total, b + g?

When x is 3 then sqrt(3+1) = 2, so f(2) = 1/3.

If f(x) = a then we have:  x² + 4x -31 = a

Rewrite as x² + 4x - 31 - a =0

For this to have a single root we must have  4² - 4*(-31 - a) = 0 or a = -35

If smaller even integer is x then the next consecutive even integer is x + 2, so:

3x = -146 - 4(x + 2)

Solving this results in x being an integer (150/7 is not an integer).

No problem  It happens to all of us!

Systematic way as follows:

(However, CoolStuffYT's way works as well!)