Assuming that there is only 1 bag, there is a set value (we can call that b) for that cost. In addition, there is a set value for what the bag weighs. We can call that m. Therefore, for x pounds, we multiply the amount per pound by the amount of pounds (x) to get m*x+b=cost (y). In a line mx+b=y, m is the rate of change. m can be found by
Using that, with the cost being the y values and the amount of pounds being the x values, we have (20, 25) at one point and (50, 40) at another. For our equation, we have
Dividing both the numerator and denominator by 15 (we know they are both factors of 15 with a little guess and check), we have 1/2 or 0.5 as our answer
<span>The answer is 5. The question wants you to compose the functions to get g(x) composed of f(x). Typically, when composing functions your substitute the second function into the first function in place of x. However, the function g(x) is constant at 5 since it has no x values. g(x)=5 means that g(x) is 5 at all values of x. Thus, in this case, it doesn't matter that we are doing a composition because the top-level function is g(x) and g(x) is 5 no matter what.</span>
The base number............
Answer:
Step-by-step explanation:
You shift up and down when there is a value at the end of the function outside of the parentheses. Since it is -1, you shift down one.
You shift left and right when there is a value inside the parentheses. Since it is 2, you shift left 2. Remember that you always shift left if the number positive and you shift right when it is negative.
Answer:
2nd one down
Step-by-step explanation: