Graph y = 2x + 1 Help pleaee
2 answers:
Answer:
Answer is linked
Step-by-step explanation:
The equation is in slope-intercept form, which is y = mx + b.
To graph the line, first we have to find the slope, m, and the y- intercept, b.
So, the slope is 2 and the y- intercept is 1.
We can graph this, beginning with the y- intercept, 1. The y- intercept is always on the y axis, so the (x) value will always be zero.
Plot a point at (0, 1).
Next, add more points using the slope. The slope is 2, or . Start at the point we have made on the y axis. The slope equals the
. We can rise 2 units, then run one more unit to the right. If the slope is negative, the run goes to the left. However, in this case, the slope is positive, to it slants to the right.
We end on point (1, 3). We can continue this path infinitely, some other points on the graph could be (2, 5), (3, 7), (4, 9) and (5, 11).
Connect these points to make a line.
The finished line is linked below as well.
I hope this helps :] Good luck ^^
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Answer:
Probability that the person doesn't use any facility = 0.0889
Step-by-step explanation:
Total number of people in a sports center = 135
Number of people using gym 'G' = 73
Number of people using swimming pool 'P' = 59
Number of people using track 'T' = 31
Number of people using gym and pool (G∩P) = 19
Number of people using pool and track (P∩T) = 9
Number of people using gym and track (G∩T) = 16
Number of people using all three facilities (G∩P∩T) = 4
Therefore, from the rule of compound probability,
P(GUPUT) = P(G) + P(P) + P(T) - P(G∩P) - P(G∩T) - P(P∩T) + p(G∩P∩T)
We know probability of an event =
We will plug in the values of probabilities of each event in the formula.
P(GUPUT) =
=
=
And probability that a person doesn't use any facility = 1 - P(GUPUT)
= 1 -
=
=
= ≈ 0.0889
By the fundamental theorem of calculus,
Now the arc length over an arbitrary interval
But before we compute the integral, first we need to make sure the integrand exists over it.