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3 years ago

Find the product of (x − 3)2. x2 + 6x + 9 x2 − 9 x2 − 6x + 9 x2 + 9

Mathematics

2 answers:

Morgarella [4.7K]3 years ago

5 0

Answer:

$\large\boxed{x^2-6x+9}$

Step-by-step explanation:

$(x-3)^2\\\\\bold{METHOD\ 1}\\\\(x-3)^2=(x-3)(x-3)\qquad\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(x)(x)+(x)(-3)+(-3)(x)+(-3)(-3)\\\\=x^2-3x-3x+9\qquad\text{combine like terms}\\\\=x^2-6x+9\\\\\bold{METHOD\ 2}\\\\(x-3)^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=x^2-2(x)(3)+3^2\\\\=x^2-6x+9$

Simora [160]3 years ago

3 0

(x-3)² ⇒ (x-3)(x-3)

(x-3)(x-3) = x(x-3) -3(x-3) ⇒ x² - 3x - 3x + 9 ⇒ x² - 6x + 9

The 3rd option is the correct answer. x² - 6x + 9

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Answer:

You can use the midpoint formula.

Method:

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Substitute in what you have:

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Because we know the x coordinate of the midpoint, we can assume that:

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And now solve for Ax:

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3 years ago

To offer scholarships to children of employees, a company invests $13,000 at the end of every three months in an annuity that pa

Andreyy89

Annuities

Suppose a fixed investment R is done every fixed number of periods m per year for t years at a constant rate r.

The final value of the investments plus the interest is calculated as follows:

$FV=R\cdot\frac{(1+i)^n-1}{i}$

Where:

n = number of total periods of the investment.

n = m*t

$i=\frac{r}{m}$

The company invests R = $13,000 for t = 10 years at the end of every quarter (3 months), thus m = 4. The interest rate is r = 9% = 0.09.

The interest rate compounds quarterly.

Calculate:

n = 4*10 = 40

i = 0.09 / 4 = 0.0225

$\begin{gathered} FV=\$13,000\cdot\frac{(1+0.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{(1.00225)^{40}-1}{0.0225} \\ FV=\operatorname{\$}13,000\times\frac{2.435188965-1}{0.0225} \\ FV=\operatorname{\$}13,000\cdot63.786176 \end{gathered}$

Calculating:

FV = $829,220

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$\begin{gathered} A=FV(1+i)^{-n} \\ A=\$829,220(1.0225)^{-40} \\ A=\$340,516 \end{gathered}$

Thus, the interest is:

welcI = $829,220 - $340,516

I = $488,704

The interest is $488,704

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11 months ago

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Answer:

Step-by-step explanation:

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3 years ago

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inn [45]

Answer:

Step-by-step explanation:

Aight, let's hop to it:

So we got

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and boom

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