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3 years ago

The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.

Mathematics

2 answers:

seropon [69]3 years ago

8 0

Answer: Option B.

Step-by-step explanation:

Given the polynomial:

$16x^2-36x+9$

Observe that $16x^2$ and $9$ are perfect squares. Then, you can rewrite the polynomial in this form:

$(4x)^2-36x+(3)^2$

You can identify that:

$A=4\\B=3$

Then, we can check if $2AB=36$

$2(4x)(3)=36x\\\\24x\neq 36x\\\\2AB\neq36x$

Since $2AB\neq36x$ , the polynomial $16x^2-36x+9$ <em>IS NOT </em>a perfect square trinomial of the form $A^2 - 2AB + B^2$

jekas [21]3 years ago

4 0

Answer: B

Step-by-step explanation:

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7 is the prime factor of 210

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3 years ago

Read 2 more answers

What is the product? (4y - 3) (2y^2 +3y - 5)

igomit [66]

(4y-3)(2y²+3y-5)

First , let's start with "4y"

4y*2y² = 8y³

4y*3y = 12y²

4y*-5 = -20y

Next, let's multiply by "-3"

-3*2y² = -6y²

-3*3y = -9y

-3*-5 = 15

Now, let's combine all of our values.

8y³+12y²-6y²-20y-9y+15 = 8y³+6y²-29y+15

8 0

3 years ago

Based on your knowledge of taxes, you estimate that your net pay will be 66% of your gross pay. You think you will need $250 per

Sholpan [36]

The gross pay per year is $\fbox{\bf\$19697.6}$ .

Further explanation:

Given:

The net pay is 66% of the gross pay. The net pay per week is $250.

Calculation:

Consider the gross pay as $x$ and net pay as $y$ .

Since the net pay $y$ is 66% of the gross pay $x$ , it can be written as follows:

$\begin{aligned}\frac{{x\times66}}{{100}}&=y\\x&=\frac{{y\times 100}}{{66}}\\x&=1.5151y\\\end{aligned}$

The net pay per week is given as $250.

Substitute 250 for $y$ in above equation.

$\begin{aligned}x&=1.5151\left( {250}\right)\\&= 378.8\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{week}}\\\end{aligned}$

Since, there exist 52 weeks in a year, the gross pay per year is calculated as follows:

$\begin{aligned}x &= 378.8\left({52} \right)\\&= 19697.6\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{year}}\\\end{aligned}$

Thus, the gross pay per year is $19697.6.

Learn more:

1. Interest rates are expressed as a percentage ofhttps://brainly.com/question/3724002

2. Suppose that this individual now decides to give one-eighth of a percent (0.125 %) of her new net worth to charity. how many dollars are given to charity?brainly.com/question/928382

Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Interest

Keywords: Gross pay, net pay, rate, accounts, simple interest, compound interest, percent, dollar, tax, interest rate, net worth, annually, weekly, weeks, $250, total income, charity, compounded.

4 0

3 years ago

Find the equation of the line parallel to y=x-3 that also intersects the points (3,-2)

Reika [66]

Answer:

y = x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 3 ← is in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes, hence

y = x + c ← is the partial equation of the parallel line.

To find c substitute (3, - 2) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = x - 5 ← equation of parallel line

3 0

3 years ago

Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9

Tpy6a [65]

ANSWER

D.
$A=3,P=2\pi,PS=(4,9)$

EXPLANATION

The given function is

$f(x) = 3 \sin(x - 4) + 9$

Comparing to the general form of a trigonometric sine function,

$f(x) = A \sin(Bx-C)+D$

$A=3$
The amplitude is absolute value of A

$|A| = |3| = 3$

$B=1$

The period is given by

$p = \frac{2\pi}{ B}$

$p = \frac{2\pi}{ 1} = 2\pi$

$C=4$

is a shift to the right of 4 units.

and

$D=9$

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D

6 0

3 years ago