Answer:
-30
Step-by-step explanation:
In g(8) the 8 = n. So, substitute 8 in for n in the expression -4n + 2
g(8) = -4(8) + 2 = -32 + 2 = -30
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.
15(x+2000)=3300
15x + 30000 = 3300
subtract 30000 from both sides
15x = -26700
divide 15 from both sides so you get x alone
x =-1780
Answer:
x = 5.5
Step-by-step explanation:
Based on the Mid-segment theorem of a triangle, we would have the following:
EF = 2(AB)
AB = 7
EF = 2x + 3
Plug in the values
2x + 3 = 2(7)
Solve for x
2x + 3 = 14
Subtract 3 from each side
2x + 3 - 3 = 14 - 3
2x = 11
2x/2 = 11/2
x = 5.5
Answer:
7 + 5x
Step-by-step explanation:
