(6x^3+9) (2x^2+6x+5) = simplify your answer. HELP please

12 + 36 + 30x³ + 18x² + 54x + 45

Step-by-step explanation:

When evaluating two brackets of terms, you can multiply the first term in the first bracket to every term in the second bracket. Then, you multiply the next term in the first bracket to every term in the second bracket until all the terms in the first bracket has multiplied with every term in the second bracket.

(6x³ + 9) (2x² + 6x + 5) = (6x³ × 2x²) + (6x³ × 6x) + (6x³ × 5) + (9 × 2x²) + (9 × 6x) + (9 × 5)

                                     = 12 + 36 + 30x³ + 18x² + 54x + 45

Note that when a term with an exponential is multiplied with another term with an exponential, the answer is the product of the terms with the power of the sum of the exponentials.

The graph is attached.

We first graph the point where his catch reached the surface, (35, 0).  Since it travels upward at a constant rate, the graph will be linear.  We also need to know where it starts (what depth it is at when he begins reeling it in).  We can use the formula d=rt as a template for our function.  d would be distance (in our case, depth), r is the rate (speed) and t is the amount of time.

To find how far the catch had to travel to reach the surface, we set up our equation as:
d = 0.1(35) 

This will tell us how much distance it traveled in 35 seconds.  0.1(35)=3.5, so the catch started 3.5m under water.  It then travels up at 0.1 m per second.