Our two binomials are (X-5)(X-7)
If we FOIL those two terms [x*x = x2; x*-7 = -7x; x*-5 = -5x; -5*-7 = 35] and combine the like terms, we're left with one of many quadratic function
Answer
x2-12x+35
Probly the first one it looks right
Answer:
Miles: 35; Gallons: 1
Step-by-step explanation:
The number of gallons can be any number of your choosing that is less than 12, which is the capacity of the tank. For the purpose here, 1 is a convenient number. To find the corresponding number of miles (m), you need to solve the proportion ...
420/12 = m/1
35 = m
(miles, gallons) = (35, 1) . . . a suitable choice for the table values
__
<em>Additional comment</em>
If your sense of symmetry is offended by choosing 1 for Gallons, you can choose 10, a number halfway between 12 and 8. In that case, your proportion is ...
420/12 = m/10 ⇒ m = 350
Then, your entry would be ...
(miles, gallons) = (350, 10)
By the seventh week you both will have $148. Hope this helps!