The value of the missing number to complete the linear equation are 31 and -10 respectively.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here the given tables shows the coordinates of the linear equation and to find the equation we consider any two points let suppose the those two points be (0,-10) and (1,21).
Now using slope formula to find the slope of line m :
m = (y₂-y₁)/ (x₂-x₁)
m = (21-(-10))/(1-0)
m = 31
Let us first find the equation of the line using point-slope equation of line :
(y-y₁) = m(x-x₁)
Substituting all the values in above equation to get the equation of line :
(y-(-10)) = 31(x-0)
(y+10) = 31x
y = 31x - 10
Therefore, the value of the missing number to complete the linear equation are 31 and -10 respectively.
check and know more about slope of line here :
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Katie won't have more than 100 shells until the 7th day
<span>-4080 is the correct answer
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Answer:
The correct option is <u>c) $17.50/case</u>.
Step-by-step explanation:
Note: The data in the question are merged. The data are therefore sorted and the whole question is represented before answering the question. Please, see the attached pdf file for the sorted data and the represented question.
The explanation of the answer is now given as follows:
Marginal cost refers to the cost incurred in order to produce one more unit of a product.
Therefore, marginal cost is the change in the total cost that is caused by a one-unit increase in the quantity of a commodity that is produced.
From the table in the question, the marginal cost at q = 108 can be calculated as follows:
Change in total quantity at 180 cases = 108 - Number of cases immediately before 108 = 180 - 104 = 4
Change in total cost at 180 cases = Total cost at 108 cases - Total cost immediately before 108 cases = 1990 - 1920 = 70
Marginal cost at 108 cases = Change in total cost at 180 cases / Change in total quantity at 180 cases = 70 / 4 = 17.50 per case
Therefore, the correct option is <u>c) $17.50/case</u>.
Mx-ymx-y
m=5m=5
x=3x=3
y=8y=8
So... They all have to be 0 otherwise they are false so...
Hope this helps :)
