Answer:
It is a linear function.
Step-by-step explanation:
The graph shows a straight line. Therefore the function must be linear. Unless you were asking about the equation of the line? Let me know.
To find the equation of this line, you would take the two points it passes through, (-3, 0) and (0, -2), and plug it into the slope formula, (y2-y1)/(x2-x1).
This would get you (-2 - 0)/ (0 - (-3)), which is -2/3.
Then, you can use slope intercept form to write the equation, since you have the y intercept already, (0, -2). Slope intercept is y=mx+b.
The line of the equation would then be y = -2/3x -2
Answer:
<u>The correct answer is A. The distance traveled depends on the number of hours traveled. </u>
Step-by-step explanation:
Let's recall that:
1. The formula of the speed is distance/time
2. If the speed is constant, like the train in our problem, which is 45 miles per hour, then we can assume it as a value of 1 and a we can confirm a direct relation between the distance traveled and the number of hours traveled, this way:
Speed = Distance/Time
Distance = Speed * Time
Distance = 1 * Time
Distance = Time
This means the longer you stay in the train, the more miles you will travel or the more hours you travel by the train, the more distance you will cover.
<u>The correct answer is A. The distance traveled depends on the number of hours traveled. </u>
Answer:
C
Step-by-step explanation:
Median of triangle: It is a line segment joining a vertex to the midpoint of the opposite side.
Consider ΔABC, point F id the midpoint of line segment AB and E is the midpoint of luine segment AC.
Draw line segments FC and BE(medians of triangle). G is the point where line segment FC and BE meet. Now, Join AG.
Let H be the point outside the ΔABC and AG passs through the point H such that AG intersects BC at D. BH and HC are dashed lines.
We need to show that D is the midpoint of BC. The correct logical order for proof will be:
III. GC is parallel to line segment BH and line segment BG is parallel to line segment HC.
IV. Line segment FG is parallel to line segment BH and line segment GE is parallel to line segment HC.
I. BGCH is a parallelogram as opposite sides are parallel (from III.)
II. Since, diagnols of a parallelogram bisect each other. Henc, we get BD=DC.
Therefore, D is mid pont of BC.
It implies that AD is also a median.
Hence, all the three medians that are: BE,FC and AD passes through a common vertex G.
3 - 2x > = -17
-2x > = -17 - 3
-2x > = - 20...change the inequality sign when dividing by a negative
x < = -20/-2
x < = 10.........graph D
Answer:
He need to earn 32 points on part 2.
