Find the Midpoint of the segment with the following endpoints (2,10) and (8,4)
2 answers:
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Answer:
a) -3
b) 5
c) 7
d) 4
Step-by-step explanation:
We have the function
a) We need to find the coefficient of .
This means that we need to find out what number is alongside the in this equation. From the function, we can find that it is -3
b) Now we need to find the degree of . Recall that the degree refers to the highest power of x that is present. As
is the largest power, our degree would be 5.
c) The constant term refers to the number within the function that does not have any x's with it. In this function, that number would be 7.
d) Now we need to find the number of terms. For this one, we just need to count how many terms are separated by + or - signs. There are 4 in this function.
Answer:
The cost of renting the car for 20 days is $481
Step-by-step explanation:
The table of values can be formed as follows;
Day, Cost
1, $44
2, $67
3, $90
4, $113
7, $182
10, $251
From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.
The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;
(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;
The equation in slope and intercept form is therefore, y - 44 = 23×(x - 1), which gives;
y - 44 = 23·x - 23
y = 23·x - 23 + 44 = 23·x + 21
The cost of renting the car for 20 days is then;
10×23 + 21 = $481
The cost of renting the car for 20 days = $481.
