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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
You might be interested in
Your teacher announced a 50-point math quiz for tomorrow. The quiz will have 15 questions with word problems worth 4 points each
koban [17]

Answer:

5  word problems(4points each)      &      10 open (3 points each)

Step-by-step explanation:

O= open response

W= word problems

  W+O =15

4W + 3O = 50

multiply the first by -3 to eliminate O

-3W -3O = -45

4W  + 3O = 50

  AD BOTH

W = 5    ( 5 questions word problems)

O= 10   ( 10 questions open response)

  5x4 = 20

10x3 = 30

      20 + 30 = 50 points

3 0
2 years ago
Aaron has a triathlon. Sunday he bikes 12 5/8 miles and swims 5 2/3 miles. Monday, he runs 6 3/8 miles. How many total miles Aar
Alla [95]
Let’s put these into one fraction each:

Biking:
= (12*5)/8 miles
= 60/8 miles
This can be reduced to,
= 15/2 miles

Swimming:
= (5*2)/3 miles
= 10/3 miles

Running:
= (6*3)/8 miles
= 18/8 miles
This can be reduced to,
= 9/4

Now we add all the distances up:
= (15/2) + (10/3) + (9/4)

Now we just can add the numerators and the denominators. We must find the lowest common factor (LCF) for our 3 denominators (2,3,4). Our LCF turns out to be 12. *Remember what we do to the denominator we must do to the numerator. So:
= (15/2) + (10/3) + (9/4)
= [(15*6)/12] + [(10*4)/12] + [(9*3)/12]
= (90/12) + (40/12) + (27/12)
= (157/12)
Therefore Aaron Ran 157/12 miles or 13.08 miles.

Hope this helps!
4 0
3 years ago
a cylindrical vase has a diameter of 6 inches at the bottom of the vase there are 9 marbles each of diameter 3 inches the vase i
KiRa [710]

Answer:

<h2>The volume of water in the vase is 339.33 in^3</h2>

Step-by-step explanation:

To calculate the volume of water in the vase we need the following parameters

1. the diameter/radius of the vase

2. the height /level of water in the vase

Given data

diameter d= 6 in

radius = d/2= 6/2 = 3 in

height of water h= 12 in

we know that the expression for the volume of a cylinder is given as

volume=  \pi r^2h

Inserting our data we have

volume= 3.142*3^2*12\\\volume= 3.142*9*12\\\volume= 339.33 in^3

3 0
3 years ago
Trigonometry Please help.
____ [38]

Tan(angle) = Opposite leg / adjacent leg

Tan(27) = Y / 350

Y = 350 x tan(27)

Y = 178.3 feet.

3 0
3 years ago
Hoties join<br>jiv-qrva-nwg ​
goblinko [34]

Answer:

hoties

gd luck ma guy

6 0
3 years ago
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