9514 1404 393
Answer:
a) x = -1, x = 4
b) y = x^2 -3x -4
Step-by-step explanation:
a) We observe the x-intercepts are x = -1 and x = 4. These are the solutions to y = 0, which is usually what we want in cases like this.
The solutions are x=-1 and x=4.
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b) We know two of the factors are (x +1) and (x -4). There may be an additional constant factor for vertical scaling. One point we can check is the y-intercept.
y = a(x +1)(x -4)
For x=0, this is ...
y = a(1)(-4) = -4a
The y-intercept is y = -4, so we have a=1.
The factored equation is ...
y = (x +1)(x -4)
Multiplying this out gives the equation in standard form:
y = x^2 -3x -4
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<em>Additional comment</em>
Your teacher may want the standard form equation to be ...
x^2 -3x -4 = 0
This is the equation of two specific points: x=-1 and x=4. It is not the equation of the graph.
Answer:
Slope = -1
Step-by-step explanation:
x+y = 14
First convert the equation into slope-intercept form
y = -x+14
Parallel lines have the same slope, so its -1.
Answer:
Mr. James can give each class 13 paint brushes and have one left over.
Step-by-step explanation:
Since he can't give a class a fraction of a paint brush, you don't divide any farther and get a remainder of 1. I attached a picture of the long division.
(2,0)
the first # is the x coordinate which is left and right. Since B is 2 to the right from the center (0,0) x is 2. Left would make it negative
The second # is the y coordinate which is up and down. Since B is on the x axis the y coordinate is 0.
It is 0.25 since you divide 3 by 25 since you can't simplify the it any more
