Answer:
a) (11/7, 9/7)
b) There's no point of intersection
Step-by-step explanation:
a) x - 2y + 1 = 0
2x + 3y - 7 = 0
To find the point of intersection, we need to solve the system of equations and the result will be the point of intersection (x,y)
Now we substitute x in the second equation:
Now we substitute y in our first equation.
.
The point of intersection is (11/7, 9/7)
b) x -2y +11 =0
-x + 2y - 13 =0
We are going to follow the same procedure:
Since this system of equations doesn't have a solution, the system has no point of intersection.
Answer:
x=0
Step-by-step explanation:
Solve for x.
5(x - 3) + 4(x + 3) = 3(x - 1)
Distribute
5x -15 +4x +12 = 3x-3
Combine like terms
9x -3 = 3x-3
Add 3 on each side
9x -3+3 = 3x-3
9x = 3x
Subtract 3x from each side
9x-3x = 3x-3x
6x =0
Divide by 6
6x/6 = 0/6
x=0
Answer:
x is less than or equal to negative 14.
Step-by-step explanation:
so for now we should pretend that the greater than or equal to is an equal sign, and simplify the problem to get x alone on a side
remove 5 from each side
-x/3=1/3-5
-x/3=14/3
multiply both sides by 3
-x=14
x=-14
so we can now replace the equal sign with the equal or greater to, so x is less than or equal to -14
The (0, 3] is taken out of the picture leaving you with B.
We have given that,
Machine 1 can complete a task in x hours while an upgraded machine (machine 2) needs 9 fewer hours.
We have to determine the,
The plant manager knows the two machines will take at least 6 hours, as represented by the inequality
after you find the intervals.
you also need to consider that the plant manager knows the two machines will take at least 6 hours.
so (0, 3] is taken out of the picture leaving you with B.
To learn more about the inequality visit:
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The given inequality is:
This inequality can be divided in two parts as:
a)
b)
Solving part a:
Solving part b:
Therefore, the solution to the given inequality is
and
. Combining both the ranges we get the solution:
.
In interval notation, this solution can be expressed as [1,5]