Answer:
g(x) = x^3 + 4
Step-by-step explanation:
Not much to explain -- g(x) is larger than f(x) by four units for every x.
Of course, to shift the graph down, subtract 4 units.
To get an even deeper understanding, think of how you'd do a left or a right shift of the graph.
Here are the answers, but I'm not going to tell you which is a left shift, and which is a right shift:
g(x) = (x - 4)^3
g(x) = (x + 4)^3
If you can't do it in your head, try plotting a couple of points - don't guess.
write the above equation in the form of y = g(x).
⇒ y = (0.5)x + 3 – 4
Now, we convert the equation into y = mx + c form.
⇒ y = (0.5)x - 1
Here, we see that m = slope = 0.5, and c = y-intercept = -1.
Hence, the graph of g(x) = (0.5)x + 3 – 4 is a straight line with slope = 1/2 and y-intercept = -1.
Answer: 8
Step-by-step explanation: Translations never change the side lengths of a triangle. Image you're just moving a piece of paper from one place to another. The dimensions stay the same.
Answer: 56ways
Step-by-step explanation:
given data:
total beans = 9
blue beans = 6
red beans = 1
yellow beans = 1
green beans = 1
solution:
This is a permutation problem because there is a condition attached to it which states that the beans most be arranged in a way that atleast each none blue has a blue bean on its side when shared.
= ( r + n - 1 ! ) / r ! ( n - 1 )!
= 3 + 6 - 1 / 3! ( 6-1 )!
= 8! / 3! x 5!
= 40320/ 720
= 56 ways
