1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sunny_sXe [5.5K]
3 years ago
6

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
Other questions:
  • 423 in base 5 to base 10
    10·1 answer
  • 3.4 mi/h converted into ft/sec<br><br> Please someone help me out on this question!
    14·1 answer
  • Write and solve an equation. Three sevenths of a children's choir are boys. If there are 12 boys in the choir, how many children
    6·1 answer
  • you have 20 dollars and you would like to purchase a sweater that is on sale for 35 percent off the original price of the sweate
    5·1 answer
  • Expand the following:<br> a)2(x + 3)
    10·1 answer
  • 3x+2(x-5)=25 show your work
    8·1 answer
  • Please help me, how do you do this
    12·1 answer
  • Use the Figure of the triangular prism to find the volume?<br>please help me
    7·1 answer
  • CAN SOMEONE HELP ME ON THIS HOMEWORK
    13·2 answers
  • Could anyone pls help me with this geometry question? :)<br><br> thank you soo much for the help :)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!