Answer:
g(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
The parent function is:
f(x).
The child function is:
Transformation 1:
Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.
Transformation 2:
Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:
g(x) is shifted 4 units left and 6 units down from f(x).
A) No, because your bag has 8 marbles, and each time you take it out, you put it back in. So there is a chance that you can pick the same marble again, and not pick up a red marble that's already in the bag.
b) No, because you could still keep on picking up the same marble over and over again.
c) There is no absolutely certain number of times.
Answer:
A
Step-by-step explanation:
11/4 hours on the first day
21/4 hours on the second
21-11=10
10/4 hours or 2 2/4
Answer:
n = 5m + 10 = 5(m + 2), since m + 2 is an integer, then the n is divisible by 5.
Step-by-step explanation:
Okay. So, we're looking for the percentage of Celina's running speed as her walking speed. Her running sped is 8 mph and her walking speed is 4mph. All we have to do is 4/8 = x/100. You put change/original and x/100, because we're looking for the percent of change from running speed to walking speed. Cross multiply the values to get 400 = 8x. Divide each side by 8 to isolate the "x". 400/8 is 50. x = 50. Celina's walking speed is 50% of her running speed. The answer is B: 50%.
