For part A, The answer is that the car gets better gas mileage. We can see it from the graph that the number of gallons used is on the X axis, and the distance traveled using those number of gallons is on the Y axis. The easiest way to compare would be to look at the 1 gallon of gas. You can see that you can travel 25 miles on 1 gallon of gas. The truck on the other hand will get you 18 miles per gallon. Imagine putting 1 in for X, the Y value would be 18 if you did this. The graph just shows us a visual way of saying the same thing. To determine how much farther the car with a girl on 8 gallons of gas, you would just multiply 8 by 25 for the number of miles traveled by the car. You would multiply 8 by 18 to find the number of miles traveled for the truck. The answers are 200 miles for the car and 144 miles for the truck. 200-144=56 miles farther for the car.
To check if a piecewise defined function is continuous, you need to check how the pieces "glue" together when you step from one domain to the other.
So, the question is: what happens at x=3? If you reach x=3 from values slightly smaller than 3, you obey the rule f(x)=log(3x). So, as you approach 3, you get values closer and closer to
Similarly, if you reach x=3 from values slightly greater than 3, you obey the rule f(x)=(4-x)log(9). So, as you approach 3, you get values closer and closer to
So, the function is continuous at x=3, because both pieces approach log(9) as x approaches 3.
Answer:
k = 20
Step-by-step explanation:
t1 = a = k-4
a = k - 4
t2 = ar = k
(k-4)r = k - 4
r = k/(k-4)
t3 = ar^2 = k + 5
(k - 4)(k/k - 4)^2 = k+5
k^2/k-4 = k+5
k^2 = (k+5)(k-4)
k^2 = k^2 -4k +5k -20
0 = k -20
k =20
Answer: B
from the first image, the opposite of B is D. so whenever its rotated somehow, D is going to fall on the opposite of B. Therefore when B is at the top, D should be at the opposite on the bottom. Thus we found our answer. B is the correct answer. others are eliminated.
