Evaluate 3r³+5,when r=2
2 answers:
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Answer:
The x-intercept of the line is the point (12,0)
Step-by-step explanation:
step 1
Find the slope of the lime
Take the points
(22,36) and (32,72)
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line in point slope form
we have
substitute
step 3
Find the x-intercept
we know that
The x-intercept of a line is the value of x when the value of y is equal to zero
so
For y=0
substitute in the equation and solve for x
therefore
The x-intercept of the line is the point (12,0)
Answer: The filled out table is shown below in the attached image
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Explanation:
The letters A through J are one way to fill out the table. Though there are other possible orders.
Start at letter A, which is from the fact we have 40 people total
Then move to letter B. This is the total number who like pasta (26)
We have C = A-B = 40-26 = 14 people who don't like pasta
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Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.
F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.
Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.
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So we have these values
- A = 40
- B = 26
- C = 14
- D = 21
- E = 19
- F = 4
- G = 17
- H = 9
- J = 10
