If a function has roots -1 and -5, it must be in the form

We can fix the coefficient a by imposing the passing through (0,-30):

So, the function is

It will take 8 seconds for all of the dominoes to fall over.
This will be an exponential function. To find the growth rate, we can write out the terms of the sequence that goes along with it: 10, 20, 40, ...
"Growth rate" is the same as percent of increase or decrease. We find the amount of increase and divide by the original amount: 20-10 = 10 increase; 10/10 = 1.
The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods. Using the variables given to us in the problem along with this information, we have:

Divide both sides by 10:

We will use logarithms to solve this:
Answer:
19/18
Step-by-step explanation:
substitute the value of m(11/6) in m-7/9
which is equal to 11/6 -7/9 =19/18
Answer:
(D) 20
Step-by-step explanation:
Since this triangle is a right triangle, we can use the pythagorean theorem which is a^2 +b^2 = c^2 (where a is the legs of the triangle and c is the hypotenuse.) For this triangle using the pythagorean theorem we can say that 12^2 +16^2 = x^2. When we simplify this equation we get 144+256=x^2. When we simplify this we get x^2=400. When we take the square root of x we get that x = √400 = 20. The answer is (D) 20.
Answer:
58-62
Step-by-step explanation: