<span>x = a bushel
5x = 14 gallons of ethanol
x = 14/5 gallon
E(x) = (14/5)x
If 5 bushels make 14 gallons of ethanol, each bushel makes 14/5 gallon of ethanol. Therefore, any number of bushels x, will make x times 14/5 gallons of ethanol.</span>
Answer:
She buys 120 buttons, if you divide 8 by 120 you get 15, so she buys 15 red bags,20 silver bags,and 24 gold bags.
Answer:
Step-by-step explanation:
<u>Quadratic Function</u>
The quadratic function can be expressed in the following form:
Where a is a real number different from 0, and x1, x2 are the roots or zeroes of the function.
From the conditions stated in the problem, we know
x_1=1+\sqrt{2}, \ x_1=1-\sqrt{2}
Substitute in the general formula above:
Operate the indicated product
To find the value of a, we use the y-intercept which is the value of y when x=0, thus
It follows that
Thus, the required quadratic function is
Or, equivalently
Answer:
I think its 1.2
Step-by-step explanation:
Answer: the answer is 3.6 mph
Step-by-step explanation: to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by to find the average speed you need to divide your total distance by total time. Im this case you need to divide 12 by 3.25