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.
. That's your equation.
The graph is the attachment.
Answer:
C. 4
Step-by-step explanation:
This is just a common ratio. These two triangles are alike, just that one is smaller than the other. You can see that one of the sides of the big traingle is 10. The same side of the smaller triangle is 5. That means the big traingle's side is twice as big as the small circle's.
10 divided by 5= 2
If the big triangle's side got divided by 2 to get the smaller triangle's side. So, that means the other side of the big triangle, 8 is twice as big as the side on the smaller triangle, x.
8 divided by 2= x
8 divided by 2= 4, so x= 4.
This is the ratio:
8:10 to x:5
As you can see the 10 got divided by 2 to get the 5. So 8 must also get divided by 2, which equals 4.
