Expand the following:
(x - 6) (3 x^2 + 10 x - 1)
Hint: | Multiply out (x - 6) (3 x^2 + 10 x - 1).
| | | | x | - | 6
| | 3 x^2 | + | 10 x | - | 1
| | | | -x | + | 6
| | 10 x^2 | - | 60 x | + | 0
3 x^3 | - | 18 x^2 | + | 0 x | + | 0
3 x^3 | - | 8 x^2 | - | 61 x | + | 6:
Answer: 3 x^3 - 8 x^2 - 61 x + 6 Thus B:
Answer:
10
Step-by-step explanation:
Add all of the numbers up and divide by the amount of numbers there are. You subtract for the negatives.
Answer:
<h2>The domain for this function is

where

.</h2>
Step-by-step explanation:
The given function is

Where
represents cars. This function models the profits they make.
Now, as you can deduct already, we can define to different domains, the mathematical one and the reasonable one.
The reasonable domain is about all the useful values to the problem. For example, as we are talking about car, they can't wash -5 cars, so negative numbers are excluded. Similarly, they can't wash 6.75 cars, because that would imply an incomplete job.
Therefore, the domain for this function is
where
.
(Notice that we specify that the independent valur can only use whole positive numbers only).
Answer:

Step-by-step explanation:
Given



<em>See attachment</em>
Required
Determine the area of K
First, we need to calculate the length of the rectangle J

This gives:

Divide both sides by 22


So, the length of the rectangle J is 20.
Since both shapes are similar, then:

Substitute the known values:

Express as fraction:

Make Length, the subject of formula



The area of K is:



Answer:
B
Step-by-step explanation:
8/33 = 0.24242424 ...
so 6.24 repeating = 6 8/33 which is rational. It can be represented by
206/33 which is a fraction and hence rational