Solve for y. Do that by adding the opposite of the x-term, then dividing by the coefficient of y.
11y = 12x - 8
y = (12/11)x - 8/11
The slope is 12/11.
The y-intercept is -8/11.
The slope of the line is 6, meaning that you can eliminate A,C. Since the point slope formula is y-y1=m(x-x1) you just need to see if the points are correct.
B. (3,9)
D. (1,-3)
While these do contain one point, substitute the coordinates to see which contain both.
B.
(1,-3): -3-9=6(1-3): -12=-12
(3,9): 9-9=6(9-3): 0= 6(6)
D.
(1,-3): -3+3=6(1-1): 0=6(0); 0=0
(3,9): 9+3=6(3-1): 12=6(2): 12=12
D is correct since the coordinate are on the line.
Both the train will meet after 36 minutes.
<h3>Concept:</h3>
- To find when both the train will meet again at the same time, we need to find the LCM of the frequency.
<h3>How to solve the given question?</h3>
- Frequency of express train = 9 minutes = 3 × 3
- Frequency of local train = 12 minutes = 2 × 2 × 3
- LCM = 2 × 2 × 3 × 3 = 36
Thus, both the train will meet after 36 minutes.
Learn more about LCM here:
brainly.com/question/21504246
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Answer:
x≥10 or x∈[10, ∞)
Step-by-step explanation:
The graph we are given is h(x) = |x-10|+6, which has the shape of a V. The vertex is at (10, 6), so to the right of the vertex, the graph is increasing.
Therefore, the graph increases during the interval x≥10 or x∈[10, ∞).
Answer:
108points
Step-by-step explanation:
Let Caleb score be x and that of Mike be y. If Caleb and Mike both score the same amount of points in a game, then x = y.
The total number of option = x+y
Now, If Caleb has fifteen less than the total number of options, then;
x =(x+y)-15
x -(x+y)+15 = 0
x-x-y = -15
-y = -15
y = 15
Also if Mike has twice the total number of points decreased 201, then;
y = 2(x+y)-201
Since y = 15
15 = 2(x+15)-201
15 = 2x+30-201
15 = 2x-171
2x = 15+171
2x = 186
x = 186/2
x = 93
The total number of points they have altogether is x+y
x+y = 15+93
x+y = 108
Hence the total points that they have altogether is 108points
