Answer:
276
Step-by-step explanation:
5/12+1/3=5/12+4/12=9/12
12/12-9/12= 3/12
3/12=69
1/12=23
23 times 12 is 276
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Answer:
0
Step-by-step explanation:
4 - 2/2 - 3 =
Follow the correct order of operations. Start with the division.
= 4 - 1 - 3
Now do subtractions from left to right in the order they appear.
= 3 - 3
= 0
Answer: 0
Answer:
g + 1
Step-by-step explanation:
(2g + 6) - (g + 5)
Distribute the negative
2g + 6 - g - 5
Combine like terms
2g - g + 6 - 5
g + 1
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
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