9514 1404 393
Answer:
a (3,-1)
Step-by-step explanation:
The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...
f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1
f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form
Comparing this to the generic vertex form ...
f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)
we see that h=3 and k=-1.
The vertex is (h, k) = (3, -1).
Steps to solve:
8j - k + 14; j = 0.25 and k = 1
~Substitute
8(0.25) - (1) + 14
~Simplify
2 - 1 + 14
~Subtract
1 + 14
~Add
15
Best of Luck!
The dividend of the given expression above is,
3d² + 2d - 29
and its divisor is equal to d+3. The steps in the long division are written below.
1. First, divide the first term of the dividend (3d²) by first term of the divisor (d). This gives us 3d.
2. Next, multiply the answer, 3d, by the divisor (d+3). This gives us 3d² + 9d.
3. Then, subtract the answer, 3d² + 9d from the dividend, 3d²+2d-29. This gives us,
-7d - 29
4. Next, divide the first term of -7d by the first term of the divisor, d. This gives us the answer of -7.
5. Next, multiply the answer, -7, by the divisor, d+3. This gives us -7d-29
6. Then, subtract the answer in step 5 from the answer in step 3. This gives us,
-7d-29 - (-7d-39) = 0
7. Combining the answer in steps 1 and 4 for the final answer will give us the answer of
3d-7
<em>Answer: 3d-7</em>
