X=amount of money Ofeila hasx-$12=(1/5)xLet's eliminate the fractions by multiplying both sides by 5...5(x-$12)=(5)(1/5)x5x-$60=xLet's subtract 5x from both sides...-5x+5x-$60=x-5x-$60=-4xLet's divide both sides by -4...(-$60)/(-4)=(-4x)/(-4)$15=x -< AnswerLet's check our work...x-$12=(1/5)x$15-$12=(1/5)($15)$3=$3
Answers:
- Vertex form: y = -2(x-1)^2 + 8
- Standard form: y = -2x^2 + 4x + 6
Pick whichever form you prefer.
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Explanation:
The vertex is the highest point in this case, which is located at (1,8).
In general, the vertex is (h,k). So we have h = 1 and k = 8.
One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.
Plug those four values mentioned into the equation below. Solve for 'a'.
y = a(x-h)^2 + k
0 = a(-1-1)^2+8
0 = a(-2)^2+8
0 = 4a+8
4a+8 = 0
4a = -8
a = -8/4
a = -2
The vertex form of this parabola is y = -2(x-1)^2+8
Expanding that out gets us the following
y = -2(x-1)^2+8
y = -2(x^2-2x+1)+8
y = -2x^2+4x-2+8
y = -2x^2+4x+6 .... equation in standard form
Are you supposed to estimate or get an exact answer? If you're estimating you can see if the number is close to any perfect squares. In this case 63 is very close to 64, and 48 is very close to 49. The answers can then be estimated to be approximately 8 and 7, respectively.
Answer:
they will all add up to 360 degrees
Step-by-step explanation:
