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Rzqust [24]
3 years ago
13

What number must you add to the polynomial below to complete the square? x2 - 3x

Mathematics
1 answer:
USPshnik [31]3 years ago
7 0
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

_____
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
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Where does the section of the bridge meet ground level? Solve 0 = -x2 + 10x - 8
djverab [1.8K]
In can be less mental effort if the equation is multiplied by -1 first.
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
.. (x -5)^2 = 17
.. x -5 = ±√17
.. x = 5 ±√17

The values of x that satisfy the given equation are
.. x = 5 -√17 ≈ 0.877
.. x = 5 +√17 ≈ 9.123

4 0
3 years ago
Read 2 more answers
You have started keeping track of your spending habits. You have noticed that after 12 days you have
kompoz [17]

Answer:

Time taken to elapse the remaining $861  = 10.25 days

Step-by-step explanation:

Assuming that I am spending at a rate of -x dollars per day

Let initial amount be A

The rate of expenditure = 1281-861/5 = 84 dollars per day

Time taken to elapse the remaining $861 = $861/$84 per day

= 10.25 days

8 0
3 years ago
HURRY PLZ!
timama [110]

Answer:

D

Step-by-step explanation:

f^{-1}(x) means the inverse. The inverse is the function reflected over the y=x line. This means the values have been reversed. (x,y)-->(y,x). We are looking for a point that has reversed values from the table.

The table has (1.-5) so the inverse is (-5,1) or D.

7 0
3 years ago
Please help!! this is due today!! (number 5)
Murrr4er [49]
First line going down is y=2x+4
Second one going / this way is y=-1x-1
6 0
3 years ago
Find the inverse of the given function.
kodGreya [7K]

For this case we must find the inverse of the following function:

f (x) = - \frac {1} {2} \sqrt {x + 3}

We follow the steps below:

Replace f(x) with y:

y = -\frac {1} {2} \sqrt {x + 3}

We exchange the variables:

x = - \frac {1} {2} \sqrt {y + 3}

We solve for "y":

- \frac {1} {2} \sqrt {y + 3} = x

Multiply by -2 on both sides of the equation:

\sqrt {y + 3} = - 2x

We raise both sides of the equation to the square to eliminate the radical:

(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2

We subtract 3 from both sides of the equation:

y = 4x ^ 2-3

We change y by f ^ {- 1} (x):

f ^ {- 1} (x) = 4x ^ 2-3

Answer:f ^ {- 1} (x) = 4x ^ 2-3

7 0
4 years ago
Read 2 more answers
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