How do I find the slope from a table if the value added onto each (x,y) value is different? Please help!!! I need the slope!
1 answer:
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Answer:
{x,y} = {6/5,23/10}
Step-by-step explanation:
[1] 7x + 2y = 13
[2] 4x + 4y = 14 <---------- linear equations given
Graphic Representation of the Equations : PICTURE
2y + 7x = 13 4y + 4x = 14
Solve by Substitution :
// Solve equation [2] for the variable y
[2] 4y = -4x + 14
[2] y = -x + 7/2
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10
// Plug this in for variable y in equation [1]
[1] 7x + 2•(-x +7/2) = 13
[1] 5x = 6
// Solve equation [1] for the variable x
[1] 5x = 6
[1] x = 6/5
// By now we know this much :
x = 6/5
y = -x+7/2
// Use the x value to solve for y
y = -(6/5)+7/2 = 23/10
Answer:
c) 62.
Step-by-step explanation:
Let x represent number of customers came in on the fifth day.
We have been given that the mean number of customers for those four days is 52. So total number of customers on 4 days would be 4 times 52 that is 208 customers.
We know that mean of a data set is equal to sum of all data points divided by number of data points.
Total number of customers on 5 days would be and total number of days is 5.
Since we need a mean of 54, so we can set mean of 5 days equal to 54 as:
Multiply both sides by 5:
Therefore, 62 customers must come in on the fifth day to make the five-day mean 54 and option 'c' is the correct choice.