Answer:
k = 3
Step-by-step explanation:
The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...
g(x) = f(x) +3
Comparing to ...
g(x) = f(x) +k
we see that k = 3.
The prime factorization should look like:
2^3 x 3^2 x 5
<span>The factors of 18 are 1, 2, 3, 6, 9, 18.</span>
Answer:
4:5
Step-by-step explanation:
Recall that 12 inches =1 foot
Therefore 4 feet = 12*4=48 inches

The ratio of 4 feet to 60 inches is 4:5
This ratio is in the reduced form, we cannot simplify further.
Answer:
5 and 5 is the lowest answer
Step-by-step explanation:
Based on what I'm assuming from that cryptic question, I assume you are looking for two numbers that add up to 10, but have the smallest sum when they are squared and added.
So I would start with 5 and 5, because they have the best chance.
If you do anything like 3 + 7,
You will get an answer of 49 + 9, which is rather high.
2 and 8 gives you 4 + 64, which is worse.
4 and 6 gives you 16 and 36, which add to 52, which is better.
5 and 5 gives you 25 and 25, which is 50, the best choice.