(a) Truck carries 90 gallons of diesel fuel to 660 miles.
So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.
30 gallons of diesel fuel to = 220 miles.
Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.
Join (660, 90) and (220, 30), we get the graph of a line.
Note that (0, 0) is also a point on the line.
Equation of the line is .
(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].
Hence, the domain of the function is [0, 660].
(c) Origin represents that the truck is not moving and there is no diesel fuel loaded in the truck.
One way to find the least common multiple of two numbers is to first list the prime factors of each number.
8 = 2 x 2 x 2
Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
2: three occurrences
3: one occurrence
So, our LCM should be
2 x 2 x 2 x 3 = 24.
So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.
Answer:
Step-by-step explanation:
OK, so basically I'm pretty sure that you add all of them together and put it as a fraction over 3 so basically 
then simplify it into
Answer:
(-5,24)
Step-by-step explanation:
2f+3g-h
first we substitute in the numbers
2(-3)+3(1)-2
-6+3-2
-3-2
-5
Then again
2(5)+3(4)-(-2)
10+12+2
22+2
24
hope this helps!:)
Answer: D, or 1+cotangent squared theta= cosecant squared theta
Step-by-step explanation: Took the test it is right
