Answer:
Step-by-step explanation:
Y = mx + b
slope(m) = 3/4
(3,7)...x = 3 and y = 7
now we sub...we r looking for b, the y int
7 = 3/4(3) + b
7 = 9/4 + b
7 - 9/4 = b
28/4 - 9/4 = b
19/4 = b
equation is : y = 3/4x + 19/4...lets put this in standard form
y = 3/4x + 19/4
-3/4x + y = 19/4...multiply by -4
3x - 4y = -19 <== standard form
if (x,5) is on the line
3x - 4y = -19.....sub in 5 for y
3x - 4(5) = -19
3x - 20 = -19
3x = -19 + 20
3x = 1
x = 1/3 <====so point a = (1/3,5)
Answer:
Independent event
Step-by-step explanation:
We have different type of event occurrence: an event could be dependent, independent or mutually exclusive.
Two event are mutually exclusive if disjoint if they cannot both occur at the same time. An example of mutually exclusive event is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.
Two events are independent if the occurrence of one does not affect the probability of occurrence of the other. Independent Events are not affected by previous events.
Two events are dependent if the occurrence of one does affect the occurrence of the second one.
The graph of the linear equation can be seen in the image below.
<h3>
How to complete the table?</h3>
Here we have the linear equation:
y = -4x + 8
And we want to find 3 ordered pairs, to do so, we need to evaluate x in different values.
if x = 0 then:
y = -4*0 + 8 = 8
So we have the ordered pair (0, 8).
if x = 1 then:
y = -4*1 + 8 = 4
Then we have the ordered pair (1, 4)
If x = 2 then:
y = -4*2 + 8 = 0
Then we have the ordered pair (2, 0).
Now that we have these 3 ordered pairs, we can graph them in a coordinate axis and then connect them with a line, we will get something like the graph below.
That is the graph of our linear equation:
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
2 cubic yards
Step-by-step explanation:
In this problem we are simply finding the volume of a 3D shape. We can calculate this by L × W × H.
9.5 × 12 × 1/3 = 48 ft³
(Note: 4 inches is 1/3 foot)
This means Rosilaine needs 48 cubic feet of wood chips. However, the wood chips are sold in yards, so we need to convert cubic feet to cubic yards.
48 ÷ 27 = 1.777 (repeating decimal)
This means Rosilaine should buy 2 cubic yards of wood chips.
