This graph is composed of four straight line segments. You'll need to determine the slope, y-intercept and domain for each of them. Look at the first segment, the one on the extreme left. Verify yourself that the slope of this line segment is 1 and that the y-intercept would be 0 if you were to extend this segment all the way to the y-axis. Thus, the rule (formula, equation) for this line segment would be f(x)=1x+0, or just f(x)=x, for (-3,-1). Use a similar approach to write rules for the remaining three line segments.
Present your answer like this:
x, (-3,-1)
f(x) = -1, (-1,0)
one more here
one more here
Answer:
(5 x + 2) (x + 2)
Step-by-step explanation:
Factor the following:
5 x^2 + 10 x + 2 x + 4
10 x + 2 x = 12 x:
5 x^2 + 12 x + 4
Factor the quadratic 5 x^2 + 12 x + 4. The coefficient of x^2 is 5 and the constant term is 4. The product of 5 and 4 is 20. The factors of 20 which sum to 12 are 2 and 10. So 5 x^2 + 12 x + 4 = 5 x^2 + 10 x + 2 x + 4 = 2 (5 x + 2) + x (5 x + 2):
2 (5 x + 2) + x (5 x + 2)
Factor 5 x + 2 from 2 (5 x + 2) + x (5 x + 2):
Answer: (5 x + 2) (x + 2)
Answer:
x= - 3
Step-by-step explanation:
2x - 3= 4x + 3
2x = - 6
x = - 3
Answer:
Part A: A
Part B: A
Step-by-step explanation:
1)
the inequality should be less than or equal to, since we need to find how many are left
now, the answer B is wrong, since there can't be negative 56, since Xander collected some cans, though he still must collect a few
thus, the answer is A
2)
A again is correct, since it represents:c ≤ 56
B represents c ≥ 56
C represents c ≤ –56
D represents c ≥ -56
Answer: The speed is 105 miles/ hr and the direction of the train would be East if the girl is the frame of reference.
Step-by-step explanation:
Since we have given that
Speed of train = 100 miles per hour
Speed of girl = 5 miles per hour
Since the girl is moving towards the back of train.
So,it means train and girl are moving in opposite direction.
So, Relative speed would be
Hence, the speed is 105 miles/ hr and the direction of the train would be East if the girl is the frame of reference.
