The distance around the circle is called the A. circumference
Answer:
Step-by-step explanation:
3 log 2+log (x-4)=log 2³+log (x-4)=log 8+log (x-4)=log 8(x-4)
Answer:
20 times
Step-by-step explanation:
Given the following :
Probability of rolling a number less than 3 on a number cube:
Required outcome = (1, 2)
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome / Total possible outcomes
= 2 /6
= 1/3
Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :
(Probability of obtaining a number less than 3 in one roll × number of rolls)
= (1 / 3) × 60
= 60 / 3
= 20 times
Answer:
Step-by-step explanation:
A vertical stretch by a factor of k means that the point (x, y) on the graph of f (x) is transformed to the point (x, ky) on the graph of g(x), where k <1.
If k =1, then same graph we obtain and if k>1 we get a vertically shrink graph.
In our question, there is a vertical stretch of 3. This means new graph would have points as (x,y/3)
i.e. instead of f(x) = y, we have now f(x) = y/3
So transformation is g(x) = 3f(x)
Option A is correct.
2) Here f(x) = 3x+8 is transformed to g(x) =3x+6
i.e. y intercept is reduced by 2 units. Hence there is a translation of 2 units down.