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3 years ago

14

The polynomial below is a perfect square trinomial of the form a2 - 2ab + b2

1 answer:

Angelina_Jolie [31]3 years ago

8 0

This is a true statement. Here's how we know. The factors of that general formula are (ax - b)(ax - b). If that is in fact the general formula of the quadratic shown, then our a would be 2 and our b would be 3, since 2 times 2 is 4 which is the leading coefficient, and 3 times 3 is 9 which is the constant. Those factors, filled in accordingly, would be (2x - 3)(2x - 3). If we FOIL those out we should get back the quadratic in question. FOILing gives us

$4x^2-6x-6x+9$

which of course simplifies to

$4x^2-12x+9$

You might be interested in

what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

kramer

Answer:

$P(x \le 21) = 0.69146$

Step-by-step explanation:

The missing parameters are:

$n = 64$ --- population

$\mu = 20$ --- population mean

$\sigma = 16$ -- population standard deviation

Required

$P(x \le 21)$

First, calculate the sample standard deviation

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{16}{\sqrt {64}}$

$\sigma_x = \frac{16}{8}$

$\sigma_x = 2$

Next, calculate the sample mean $\bar_x$

$\bar x = \mu$

So:

$\bar x = 20$

So, we have:

$\sigma_x = 2$

$\bar x = 20$

$x = 21$

Calculate the z score

$x = \frac{x - \mu}{\sigma}$

$x = \frac{21 - 20}{2}$

$x = \frac{1}{2}$

$x = 0.50$

So, we have:

$P(x \le 21) = P(z \le 0.50)$

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

4 0

3 years ago

Items in a store are marked down by 35% what is the sale price if the regular price is $3.29

Alinara [238K]

$3.29*0.65(because you're paying 65% of the original price)
$2.14(this answer is rounded up to 2.14. if you don't round, it is 2.13)

7 0

3 years ago

Describe a real world situation that can be represented by the product 8(-20)

Semmy [17]

Write a situation that could be modeled with the expression below.

<span>45 divided by 3 minus 2 times 4</span>

8 0

3 years ago

Answer quick please.

olchik [2.2K]

5/2 = 2.5

4/16 = 0.25

2.5/0.25 = 10

Your answer would be 10

hope it helps!

6 0

3 years ago

An amusement park thrill ride swings its riders back and forth on a pendulum that spins. Suppose the swing arm of the ride is 62

babunello [35]

Answer:

118ft

Step-by-step explanation:

dont ask how i got it i just got the answer from my teacher but they didnt show me the work. ur welcome

7 0

3 years ago