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3 years ago

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

1 answer:

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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Assoli18 [71]

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3 years ago

You want to buy a new bike, and your parents will contribute $32.50 toward the cost of the bike. If the most expensive bike is $

asambeis [7]

Answer:

They the answernis 17.50 fam

Step-by-step explanation:

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3 years ago

The model shown was used to find the product of two fractions: A rectangle divided into nine columns of equal size and 4 rows of

Valentin [98]

The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>

a) The equation with fractions two ninths times three fourths is equal to six thirty sixths

$\dfrac{2}{9} \times \dfrac{3}{4} = \dfrac{6}{36}$

<h3>What is an array (area) multiplication model?</h3>

An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.

Please find attached the area model to multiply the fractions

The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

$\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}$

The equation that the model represents is therefore;

The equation with fractions two ninths times three fourths is equal to six thirty sixths

Learn more about multiplication models here:

brainly.com/question/24586779

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8 0

1 year ago

Kiesha and her classmates wrote proportions for the reduction of a triangle. A larger and smaller triangle have corresponding he

MrMuchimi

Answer:

the 2nd one

Step-by-step explanation:

mecause its new=original

6 0

3 years ago

Read 2 more answers

Guys please help i'm stup!d

Nataly [62]

Answer:

Option B: 0.4

Step-by-step explanation:

We have 20 dots.

Such that each column represents the repetitions for each proportion.

So:

0.1 -> 3 times

0.2 -> 1 time

0.3 -> 4 times

0.4 -> 6 times

0.5 -> 3 times

0.6 -> 3 times

Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.

Remember that for a set of N values:

{x₁, x₂, ..., xₙ}

The mean is:

$M = \frac{x_1 + x_2 + ... + x_n}{N}$

In this case we have the set of 20 points described above, then the mean is:

$M = \frac{3*0.1 + 1*0.2 + 4*0.3 + 6*0.4 + 3*0.5 + 3*0.6}{20} = 0.37$

Rounding to the first place after the decimal point, we get:

M = 0.4

Then the correct option is option B.

5 0

2 years ago