A) y= -1.026x^2 + 1016.402x - 162075
B) y= -1.036x^2 + 1024.771x - 163710
C) y= 298.214x - 66317.667
D) y= 196.2x - 18710
Answer:
(A) y= -1.026x^2 + 1016.402x - 162075
Step-by-step explanation:
Given is the data 'x' -Items produced. The equation that satisfies the given data can be found by simply substituting the values of x in the given equations. For example:
Substituting the value of x= 100 in the given equations,
A) y= -1.026(100)^2 + 1016.402(100)-162075= -70,500
Similarly you can check the values on the rest of the equations and if they satisfy the equation, then the given is the required equation.
Answer:
(A)
Step-by-step explanation:
WE are given the data which represents the company's profit based on number of items produced.
The equation which best represents the data can be found out by substituting the values of x in the given equations.
So,substituting x=100 in first equation, we have:
which satisfies the equation. Hence, option A satisfies.
We can also substitute the different values of x in the equations to check whether it satisfies or not.
If the Martin family's truck gets an average of 25 miles per gallon. The distance they can drive using 7 gallons of gas will be 175 miles.
The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that, the Martin family's truck gets an average of 25 miles per gallon.
We have to find the number of miles they can drive using 7 gallons of gas.
We'll apply division by Splitting into equalhalves or groups, the division may be used to decide how to distribute fuel evenly among a group.
The distance they can drive for the 7 gallons of gas will be,
=25 miles per gallon × 7 gallons
=175 miles
Thus, if the Martin family's truck gets an average of 25 miles per gallon. The distance they can drive using 7 gallons of gas will be 175 miles.
Learn more about the arithmeticoperations here,
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{y+7=3x
6x−2y=12
(14, 12)
(12, 14)
There is no solution.
There are an infinite number of solutions.
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Work Shown:
y+7 = 3x turns into y = 3x-7 after we subtract 7 from both sides
Plug that into the other equation and solve for x
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6x - 2y = 12
6x - 2( y ) = 12
6x - 2( 3x-7 ) = 12 ... y replaced with 3x-7
6x - 2(3x) - 2(-7) = 12
6x - 6x + 14 = 12
0x + 14 = 12
0 + 14 = 12
14 = 12 ... this is a contradiction, aka false statement
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No matter what x value we pick, the equation above will always be false.
Therefore, there are no solutions
We say that this system of equations is inconsistent.
Graphing both equations leads to two parallel lines. A solution only happens if the lines cross, but parallel lines never intersect.
Step-by-step explanation:
you really on a test?
draw it and measure it out