<h3>
Answer: C) 6</h3>
Explanation:
The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.
Let's start at the top at the left most corner. This point has x coordinate of x = 1.
The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.
Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).
Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Step-by-step explanation:
The equation 
can be solved by squaring both sides:
We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:
The square root of 49 equals 7, but the square root of -1 is an imaginary number.
The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Answer:
8. The coordinates (0,0) represent the fact that when 0 minutes has passed, the horses have gone 0 miles because they hadn't started yet.
9. From the graph, it looks like horse A takes 4 minutes and horse B takes 2.5 minutes (aka 2 minutes and 30 seconds) to travel 1 mile.
10. For A: y = (1/4)x
For B: y = (2/5)x
11. For A: 3 miles
For B: (24/5) miles, or 4 and (4/5) miles.
12. Can't see the entire problem sorry.
Step-by-step explanation:
9. You find this by going to y=1 and look towards the right till you find the point the line intersects with y=1. Then find the x value by finding the corresponding number on the x axis.
10. A linear function will look something like this: y = mx+b, where y is the y value, x is the x value, m is the slope, and b is the y-intercept. Since both lines start from 0, you don't have to write the y-intercept since there's no point in writing +0. To find slope, you find delta y over delta x. Basically just find the difference of two y values and the difference of two x values from the same coordinate in the same order. I know that sounds really confusing but your teacher will probably teach this later on.
11. x represents the time, so just substitute x as 12 in the equation.
Answer:
-10y
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given system:</u>
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
