Answer:
Yes it is showing a function
Step-by-step explanation:
Let's represent the two numbers by x and y. Then xy=60. The smaller number here is x=y-7.
Then (y-7)y=60, or y^2 - 7y - 60 = 0. Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:
discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191. Because the discriminant is positive, this equation has two real, unequal roots, which are
-(-7) + sqrt(191)
y = -------------------------
-2(1)
and
-(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
-2(1)
Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.
Try thinking this way: If the LCM is 60, then xy = 60. What would happen if x=5 and y=12? Is xy = 60? Yes. Is 5 seven less than 12? Yes.
Answer:
Hours
Step-by-step explanation:
Jake is being paid $15 an hour, not per child.
Say he has five children, three stay for one hour, two stay for two hours. If he's getting paid per hour, then he'd earn $105. But, if he gets paid per child he'd only make $75 dollars.
But since it says that he gets paid per HOUR, it would be proportional to how much money he makes.
Answer:
61.2 mph
Step-by-step explanation:
Let's first calculate the individual legs of Adara's trip in terms of both time and distance:
<u>Ashdown to Bridgeton</u>
3 hr at 60 mph = 180 miles in 3 hours
<u>Bridgeton to Carton</u>
30 miles at 70 mph: 30 miles/(70 miles/hour) = 0.429 hours
<u>Total Trip</u>
Miles = 180 + 30 = 210 miles
Time = 3 + 0.429 = 3.429 hours
Average speed is (210 miles)/(3.429 hours) = 61.25 or 61.2 miles/hour to 1 decimal point.
