Answer:
Step-by-step explanation:
x=2
Answer:
48 miles per hour
Step-by-step explanation:
José left Westcliffe on his bicycle riding at an average rate of 8 miles per hour five hours before his father left by automobile. The father overtook José in exactly one hour. This means Jose was riding
5 hours + 1 hour = 6 hours.
Use formula

where
D = distance
r = rate
t = time
In Jose's case,
D = unknown
r = 8 miles per hour
t = 6 hours
Hence,

In Jose's father case,
D = 48 miles
r = unknown
t = 1 hour (father overtook José in exactly one hour)
Hence,

In the slope intercept form equation of a line (y=ax+b) a represents the slope, and b represents the intercept, which is -5. Thus, we know y=ax-5. The slope can be found by creating a fraction with the change in y value on top, and the change of x value on the bottom. If we have two points (4, 1) and (0, -5) we can put this into a fraction -

, which simplifies down to -6/-4, or 3/2. Thus the answer is f(x)=

x-5<span />
Answer: (1,3)
Step-by-step explanation:
Let's solve this <u>system of equations</u> by elimination. We will multiply one or both equations such that when we combine the equations, one of the variables will completely cancel out.
Let's multiply the whole first equation by -2 to achieve this:
now becomes 
Now let's add both equations



Since we got y into a form we can solve it for, lets divide both sides by -5 to isolate it.


Now that we have the value of y, we can substitute it into any equation to solve for x. Only if we have both x and y can we make an ordered pair. Let's use the second equation and substitute 3 for y.

We can now solve for x.
<em>[Adding 3 to both sides]</em>
<em />
<em>[Dividing by 2 on both sides]</em>
We now have both x and y, so we can put it in an ordered pair to answer the question.
