Answer:
y = (x +2)(x -1)(x -3)
Step-by-step explanation:
For each x-intercept (r) the corresponding factor is (x -r). For x-intercepts -2, 1, 3, the factors are ... (x+2), (x-1), (x-3). Then the equation is ...
y = (x +2)(x -1)(x -3)
Answer:
y > 11/2
Step-by-step explanation:
This is solved the same way a 3-step equation is solved.
<u>Step 1</u>: subtract the smaller variable term from both sides.
4y -2y +3 > 2y -2y +14
2y +3 > 14
<u>Step 2</u>: subtract the constant with the variable term.
2y +3 -3 > 14 -3
2y > 11
<u>Step 3</u>: divide by the coefficient of the variable.
2y/2 > 11/2
y > 11/2
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<em>Additional comment</em>
By choosing to subtract the smaller variable term in the first step (regardless of which side of the inequality it is on), we ensure that the remaining variable coefficient is positive. That means we can do step 3 without worrying about changing the direction of the inequality symbol, because we're dividing by a positive number.
Given:
The table of values.
To find:
The function for the given table.
Solution:
From the given table it is clear that the y-values are same as the corresponding x-values. It means y is directly proportional to x with 1 as a constant of proportionality.
Mathematically, it can be defined as:
Substitute 
in the above equation to find the required function.
Therefore, the correct option is A.
Answer:
Would 50 divided by 40 work?
Step-by-step explanation:
Answer:
1/2, 5/2
Step-by-step explanation:
Rearrange the system of equations.
-3x + y = -1
x + y = 3
Multiply the bottom equation by 3
3x + 3y = 9
Now add the two equations
4y = 10
y = 5/2
Now plug y back in to solve for x in one equation
x + y = 3
x + 5/2 = 3
x = 1/2
Answer in coordinates: 1/2, 5/2
