We can factor the equation using grouping.
Factor both halves of the equation.
Both groups have a factor of (x+1). We can use the distributive property to find the other factor. That is, ac + bc = (a+b)(c).
So our final factored form is:
Now let's find the roots of the equation. These are the x values where the graph crosses the x axis. To do this, set both factors equal to zero and solve for x.
This factor does not produce any rational roots because taking the square root of a negative number results in a complex number.
So the equation hass one root of x = -1. This means that the graph should cross the x axis at x = -1. Therefore the last picture is the correct graph. Hope this helps!
<u>Answer-</u>
<em>The printer used </em><em>642 digits</em><em> to print all the pages in the book.</em>
<u>Solution-</u>
There are 250 pages numbered starting from 1 to 250.
The total number of digits would be the sum of digits of all single digits from 1 to 9, all double digits number from 10 to 99, and all triple digits number from 100 to 250.
There are 9 single digit numbers from 0 to 9, 90 double digit numbers from 10 to 99, and 151 triple digit numbers from 100 to 250.
So,
Therefore, the printer used 642 digits to print all the pages in the book.
Answer: Statistic
Step-by-step explanation: The difference between a parameter and statistic lies in the set of observation from which either quantity is derived. The parameter represents numerical values which are derived by examining or considering an entire population while the statistic is used to define numerical quantities derived from subset of the population called the sample. In the scenario described above, the population of interest would be the entire population of student and hence statistical derivations made would be called parameters. However, the scenario only experimented using student from two different classes which is a subset of the entire population of student. Hence, the obtained mean values of 25.40 and 20.41 for students in the formal and informal classes are categorized as statistic.
Answer:
1.) 167.2cm^3 2.) 30.96cm^3
Step-by-step explanation:
V = lwh
= (5.0cm)(4.4cm)(7.6cm)
= 167.2cm^3
V = lwh
= (1.5cm)(2.4cm)(8.6cm)
= 30.96cm^3
Make sure to cube your units on the final answer, and the brackets mean you're multiplying.
Recall that the sum of all 3 angles of a triangle is 180. So,
82 + 45 + x = 180>> 127 + x = 180
>> x = 180 - 127
>> x = 53 (final answer)