The coefficient of the x-term is -3. Add the square of half of that.
.. (-3/2)² = 9/4 . . . . . . the number you need to add.
x² -3x +9/4 = (x -3/2)²
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If the x² term has a coefficient other than 1, you need to factor that out first and deal with the remaining binomial. For example,
.. 2x² -6x = 2(x² -3x)
For this you would need to add 9/4 inside parentheses to get
.. 2(x² -3x +9/4) = 2(x -3/2)²
Of course, to keep the original value, you would need to subtract 2*(9/4) outside parentheses.
.. 2x² -6x = 2(x -3/2)² -9/2
Answer:
<em>(-2,0) x=-2 y=0 </em>
Step-by-step explanation:
<u>Solve for the first variable in one of the equations, then substitute the result into the other equation</u>
<u>Hope this helps!</u>
All plots correctly show the range, 5–73.
The 1st, 2nd, and 4th choices correctly show the median, 54.
Of those, the 2nd and 4th choices correctly show the first quartile, 14.
Of those, only the 2nd choice correctly shows the third quartile, 61.
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There are an odd number of data points, so the middle one is the median. That value divides the remaining points in to two groups of 5. That number is also odd, so its median is the middle of that group. If we use x for the lower half and y for the upper half, you have
... (5 x 14 x x) 54 (y y 61 y 73)
6/15
equals 0.40
to calculate, 15 divided by 6 equals 0.40.
Answer:
Vertex is (4,1)
Step-by-step explanation:
x=-b/2a so you need to first divide the b (second term) by the a (first term) so you should get 1 as your new a and -8 as your new b. Negative (-8) is just 8 then divide that by 2(1) which is just 2 which equals 4. That is your x. To find your y, you plug your x back into the original equation and then solve it. Hope this helps!
