They are not questions, you are gonna have to use the diagram provided in ur assignment
First, isolate the variables to either side.
4y = -7/5x -7
Second, simplify in terms of y.
y = -7/20x - 7/4
Third, plug 0 in for y to find the y intercept and factor the x side to make it simple. Then, find the value that makes the x-factor zero.
0 = (-7/4)(1/5x +1)
1/5x + 1 = 0
1/5x = -1
x = -5
The x-intercept is (-5,0)
Fourth, plug zero in for x to find the y-intercept.
y = -7/20*(0) -7/4
y = -7/4
Therefore, the y-intercept is (0,-7/4) and the x-intercept is (-5,0).
Answer:
Are the events A and B disjoint? Yes
Step-by-step explanation:
Disjoint events are those events that cannot occur at the same time, i.e. for events <em>X</em> and <em>Y</em> to be disjoint,
.
The event <em>A</em> is defined as the number of students whose age is at most 32.
And event <em>B</em> is defined as the number of students whose age is at least 37.
The events <em>A</em> and <em>B</em> are disjoint events.
- The sample space for event <em>A</em> consists of all the students of age group (under 21), (21 - 24), (25 - 28) and (29 - 32).
- Whereas the sample space for event <em>B</em> consists of all the students of age group (33 - 36), (37 - 40) and (Over 40).
The sample space for the intersection of these two events is:
Sample space of (<em>A</em> ∩ <em>B</em>) = 0
As there are no common terms in both the sample.
Hence proved, events <em>A </em> and <em>B</em> are disjoint.
Answer:
5 + 2(3 + 2x) = x + 3(x + 1) has no solution
Step-by-step explanation:
Answer:
y = 3x + 12
Step-by-step explanation:
Slope (m) = 24-9/4-(-1)
= 25/5
= 3
Using point (-1 , 9)
y - y1 = m (x - x1)
y - 9 = 3 (x - -1)
y - 9 = 3 (x + 1)
y - 9 = 3x + 3
y = 3x + 3 + 9
y = 3x + 12