Answer:
Sam worked
hours that day (fractional answer)
Step-by-step explanation:
The total number of hours Sam worked is the sum of all the three hours given.
Let's add the first 2 using LCM and then add that result with the last.
Firstly:

Now,

The hours worked by Sam is 41/30 hours (fractional answer).
Answer:
A. p(x) = 19x - 15
Step-by-step explanation:
<u>→Set it up, like so:</u>
<u />

<u>→Add like terms (25x and -6x):</u>
<u />
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slopes
<u>1) Determine the slope (m)</u>

The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (2,4) to solve for b

Add 4 to both sides to isolate b

Therefore, the y-intercept of the line is 8. Plug this back into
:

I hope this helps!
Answer:
d for the first question
Step-by-step explanation:
Answer:
The equation for the new line in slope-intercept form is:

Step-by-step explanation:
Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)
We are also given a point the new line should go through : "(1, 6)"
So we can use the "point-slope" form of a line to find the equation of this new line:

which for our case is:
