Answer:

Step-by-step explanation:

y intercept is when x = 0
So, Putting x = 0 in the above function
=> f(0) = 
=> f(0) = 2*1
=> f(0) = 2
So, y-intercept is (0,2)
Answer:
slope = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x - 3y = - 54 ( subtract 9x from both sides )
- 3y = - 9x - 54 ( divide all terms by 0 3 )
y = 3x + 18 ← in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
slope of parallel line is 3
Answer:
40 mph
Step-by-step explanation:
We assume "outbound" refers to the trip <em>to the lake</em>. The ratio of speeds is inversely proportional to the ratio of times, so ...
outbound speed : inbound speed = 4 : 3
These differ by one ratio unit, so that one ratio unit corresponds to the speed difference of 10 mph. Then the 4 ratio units of outbound speed will correspond to ...
4×10 mph = 40 mph
Paul's average speed on the outbound trip was 40 mph.
___
The distance to the lake was 120 mi.
For this case we have:
By definition, the factorization is an algebraic expression that is used to find two or more factors, taking into account that the product of these factors must be equal to the given expression.
That is to say:
Given an expression of the form 
We can factor in the following way:

Since, its product is:
,
checking the given definition.
If we have:

We can factor:

When making your product we obtain:
Answer:
