All categories

3 years ago

Which model represents the factors of 4x2 – 9?

Mathematics

2 answers:

mel-nik [20]3 years ago

7 0

Answer: Difference of squares model is used.

Step-by-step explanation:

Since we have given that

$4x^2-9$

We need to find the model which represents the factors of the above quadratic equation:

As we know that " $a^2-b^2=(a+b)(a-b)$ "

So, our quadratic equation will become,

$4x^2-9\\\\=(2x)^2-3^2\\\\=(2x+3)(2-3)$

Hence, we will use "Difference of squares model "

Factors will be (2x-3) and (2x+3) .

GREYUIT [131]3 years ago

3 0

The factors of 4 x² - 9 :
4 x² - 9 = ( 2 x - 3 ) · ( 2 x + 3 )
We have to use the formula for the difference of squares:
a² - b² = ( a - b ) · ( a + b )

You might be interested in

Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,46

JulsSmile [24]

Answer:

a. The point estimate was of $44,600.

b. The sample size was of 16.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

a. What is the point estimate of the mean salary for all college graduates in this town?

Mean of the bounds, so:

(38737+50463)/2 = 44600.

The point estimate was of $44,600.

b. Determine the sample size used for the analysis.

First we need to find the margin of error, so:

$M = \frac{50463-38737}{2} = 5863$

Relating the margin of error with the sample size:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.64.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

For this problem, we have that $\sigma = 14300, M = 5863$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$5863 = 1.645\frac{14300}{\sqrt{n}}$

$5863\sqrt{n} = 1.645*14300$

$\sqrt{n} = \frac{1.645*14300}{5863}$

$(\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2$

$n = 16$

The sample size was of 16.

7 0

3 years ago

The printer print in 4 1/2 minutes?

irga5000 [103]

Answer:

4 1/2 in seconds is 14400

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Examine each number. What number can you add to this number to make a number that has a whole-number square root?

Fantom [35]

the answer is 470

Step-by-step explanation:Because 470+470 which equals 940 and the square root is 30

3 0

2 years ago

The probability that Josslyn is on time for a given class is 99 percent. If there are 32 classes during the semester, what is th

Gre4nikov [31]

Answer:

The best estimate is 32 out of 32 times, she will be early to class

Step-by-step explanation:

The probability of being early is 99% = 99/100 = 0.99

So out of 32 classes, the best estimate for the number of times she will be early to class will be;

0.99 * 32 = 31.68

To the nearest integer = 32

4 0

2 years ago

The cost to a rent paddle boat at the county park is $8 per hour if x represent the number off hours the boat is rented and for

bazaltina [42]

Answer:

10+8x=y

Step-by-step explanation:

The 10$ is added on because it's a one time exchange and the 8 is multiplied by the x because for every hour you add 8$ to the price and y is the total price at the end depending on x.

4 0

2 years ago