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
Answer:
If you meant [80 + (8*4) ]/2, then [80 + (8*4) ]/2=56
or if you meant 80 + [ 8*4 / 2], then 80 + [ 8*4 / 2] = 96
Step-by-step explanation:
Evalute the expression. 80 + (8x4) divided by 2
so do you mean
the whole expression 80 + (8x4) is over 2 ?
If so then:
evaluate 8x4 = 8 * 4 = 32.
so we have 80 + (8x4) is over 2 = (80 + 32)/2 = 112/2 = 56
If you meant 80 + [ 8*4 / 2]
then 80 + [ 8*4 / 2] = 80 + 8*2 = 80 + 16 = 96
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Answer:</h3>
- C. (9x -1)(x +4) = 9x² +35x -4
- B. 480
- A. P(t) = 4(1.019)^t
Step-by-step explanation:
1. See the attachment for the filled-in diagram. Adding the contents of the figure gives the sum at the bottom, matching selection C.
2. If we let "d" represent the length of the second volyage, then the total length of the two voyages is ...
... (d+43) + d = 1003
... 2d = 960 . . . . . . . subtract 43
... d = 480 . . . . . . . . divide by 2
The second voyage lasted 480 days.
3. 1.9% - 1.9/100 = 0.019. Adding this fraction to the original means the original is multiplied by 1 +0.019 = 1.019. Doing this multiplication each year for t years means the multiplier is (1.019)^t.
Since the starting value (in 1975) is 4 (billion), the population t years after that is ...
... P(t) = 4(1.019)^t
1. 3x³-2x²+1x
2. 6y⁴+2y³-8y
3.-3m³-12m²+3m
4. 4d⁴-3d³+d²
5. -w⁵-3w³
6. -a⁴-3a³