A. The area of a square is given as:
A = s^2
Where s is a measure of a side of a square. s = (2 x – 5) therefore,
A = (2 x – 5)^2
Expanding,
A = 4 x^2 – 20 x + 25
B. The degree of a polynomial is the highest exponent of the variable x, in this case 2. Therefore the expression obtained in part A is of 2nd degree.
Furthermore, polynomials are classified according to the number of terms in the expression. There are 3 terms in the expression therefore it is classified as a trinomial.
<span>C. The closure property demonstrates that during multiplication or division, the coefficients and power of the variables are affected while during multiplication or division, only the coefficients are affected while the power remain the same.</span>
The distributive property means to distribute the number being multiplied by the numbers in the parentheses.
In this case, (v+12) is being multiplied by 10.
To solve this, you simply have to multiply 10 by each term inside the parentheses.
That means it would be (v•10)+(12•10).
(v•10) is equal to 10v, since v is the variable and we don't know its value.
(12•10) is equal to 120.
So by using the distributive property we can find that (v+12)10 = 10v+120.
Answer:
Left box: Outlier in this data set is (57,132)
Right box: because the finish time looks faster than expected for the age.
Step-by-step explanation:
As per the given table shows the 
and 
of 
runners.
It is clear that people of age around 
are finishing at around 
and person with older age takes longer to finish.
One person of age 
finishes in 
, that looks as expected.
Another person of same age 
finishes it too fast which is unexpected.
Therefore 
is an outlier, because it looks a faster finish as per expected.
Answer:
Find total surface area. Multiply material unit cost by the total surface area.
Step-by-step explanation:
To find the cost of a container, you must first find the total surface area of the container. Then since you are given the unit cost for the material, you multiply the total surface are by the unit cost ($0.0015/in.²).
Here we are dealing with combinations without repetitions.
Let's write the form of a name.
For names starting with W:
W _ _ _
For names starting with K:
K _ _ _
We are allowed to use only lettrs from F to X. That's total of 19 letters. We are not allowed to repeat letters so for each letter we can choose from one less available letters.
Let's start with names begining with W. We will write how man possible letters we can choose from.
W 18 17 <span>16
</span>At second possition we can choose from 18 letters because we must not repeat letters and W is placed in front of X in alphabet.
At third position we can choose from 17 letters becasue we already chose two of 19 possible letters.
At fourth position we can choose from 16 letters becasue we already chose three of 19 possible letters.
To calculate total number of possible names we need to multiply these numbers:
1 * 18 * 17 * 16 = 4896
Same calculation can be done for names starting with K. We would get same number as solution.
Total number of possible names starting with W or K is 4896 + 4896 = 9792
