The answer is -1/3
The slope m is:
m = (y2 - y1) / (x2 - x1)
(x1, y1) = (-2, 2)
(x2, y2) = (4, 0)
m = (0 - 2) / (4 - (-2)) = -2 / 6 = -1/3
The rate of change on the line is x line goes to the right and y line goes upward
Answer:
The solution in the attached figure
One possible solution is the point (30,60)
Step-by-step explanation:
Let
x -----> represents the number of tacos sold
y -----> represents the number of burritos sold
we know that
------> inequality A
-----> inequality B
using a graphing tool
The solution is the triangular shaded area
see the attached figure
One possible solution is the point (30,60)
Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
so
That means----> The number of tacos sold is 30 and the number of burritos sold
Verify
Substitute the value of x and the value of y in each inequality
Inequality A
----> is true
Inequality B
----> is true
The ordered pair satisfy both inequalities, then the ordered pair is a solution of the system
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Step-by-step explanation:
We need to figure out how much string would be left, after taking away the first two pieces.
We know that the first piece is 20 inches long, so we can say that there is 52-20 inches left, or 32 inches.
The second piece is between 12 and 18 inches, meaning that there would be between 32-12 and 32-18 inches left for the third piece, or 20 and 14 inches. This means that the third piece would be at least 14 inches long, but no more than 20, since we don’t have more string than that (20+12+20=52, and 20+14+18=52)
So we can say that x is greater or equal to 14, but less than or equal to 20, or:
14<=x<=20 (“<=“ is written like a normal “<“ sign with a line _ right under it)
we are given

Since, we have to find inverse of this function
step-1: we set f(x)=y

step-2: switch x and y

step-3: Solve for y

now, we can use quadratic formula


or
..............Answer