Answer:
a and d = 32
Step-by-step explanation:
since ABC and DEF are similar m<A = m<D so you have the equation
5x + 12 = 8x
subtract 8x from both sides
5x + 12 -8x = 0
subtract 12 from both sides
5x -8x = -12
combine like terms
-3x = -12
devide by -3
x = 4
plug 4 into equation
5(4) + 12 = 8*4
20 + 12 = 32
32 = 32
Answer:
The correct result would be f(g) = g * $1 - $50.
Step-by-step explanation:
If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:
p ... profit
g ... glasses of lemonade
f(g) = p = g * $1 - $50
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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.
