Answer:
Step-by-step explanation:
The relative speed of the two trains is the sum of the speeds they are traveling. (If you're on either of the trains, this is the speed you appear to be moving when you see the other train.) In our problem, the relative speed of the two trains is 70 mph + 60 mph = 130 mph. What if the trains were traveling in the same direction? Then we'd need to subtract the speed of the slower train from the speed of the faster train, and their relative speed would be 10 mph.
The answer to this question is 6 1/4. This is because the vertex of this function has a y-coordinate of 6.25, which is 6 1/4 in mixed fraction form.
11. YES. Because each x-value is only used once (no duplicate x-coordinates)
12. range is the y-values. the lowest it goes is -2 (with an open dot), then it goes to +2 (with an open dot). then there is a separate line where y = 4.
Answer: (-2, 2) U [4, 4]
13. f(-1): when x = -1, y = ??? <em>(do not count the open dot!)</em>
Answer: 1
14. f(3): when x = 3, y = ??? <em>(do not count the open dot!)</em>
Answer: 4
Answer:
see the attached graph
Step-by-step explanation:
When an equation is in <em>standard form</em> (or almost standard form), I like to put it into <em>intercept form</em> for graphing. Here, it is convenient to divide the equation by 2 to put it in standard form (coefficients mutually prime).
x +3y = -3
Now, it is convenient to divide by the constant on the right (-3) to put the equation into intercept form:
x/(-3) +y/(-1) = 1
The denominators are the x- and y-intercepts, respectively. Plot those, (-3, 0) and (0, -1), and draw the line through them.
Answer:
C -16x + 74/5
Step-by-step explanation:
2(x + 7) - 18x + (4/5)
Expand the brackets.
2x + 14 - 18x + (4/5)
Combine like terms.
(2x - 18x) + (14 + (4/5))
-16x + 14 4/5
Convert 14 4/5 to an improper fraction
14 4/5 = ((14 * 5) + 4) / 5 = 74 / 5
Answer = -16x + 74/5
