The options of the problem are

we have

we know that
<u>The Rational Root Theorem </u>states that when a root 'x' is written as a fraction in lowest terms
p is an integer factor of <u>the constant term</u>, and q is an integer factor of <u>the coefficient of the first monomial</u>.
So
in this problem
the constant term is equal to 
and the first monomial is equal to
-----> coefficient is 
therefore
<u>the answer is the option </u>
D. 
Answer:
Step-by-step explanation:
Given that in the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College.
Table is prepared as follows
Bus coll. Lib Arts coll Educ. coll Total
Observed 90 120 90 300
Expected p.c. 35 35 30 100
Expected number 105 105 90 300
Percent*300/100
Hence expected frequency for business college = 105
Answer:

Step-by-step explanation:
the information we know about the shape of the stick of butter:



The formula for the volume of a rectangular prism is:

we find the volume by multiplying ll the measurements of the stick.
So we substitute the values to find the volume and we get the following:

the volume of the stick of butter is 
Suha should buy 150 envelopes from shop 1 because the cost in shop 1 is 0.06 less shop 2.
<u>Step-by-step explanation</u>:
Total number of envelopes = 150
<u>The cost of envelopes :</u>
- Pack of 25 envelopes in shop 1 = 3.49
- Pack of 10 envelopes in shop 2 = 2.10
- Buy 2 packs get 1 pack free in shop 2.
<u>Shop 1 :</u>
The number of packs to buy 150 envelopes = 150 /25 = 6 packs
The total cost to buy 6 packs = 6 × 3.49 = 20.94
The cost of 150 envelopes in shop 1 is 20.94
<u>Shop 2 :</u>
The number of packs to buy 150 envelopes = 150 /10 = 15 packs
- For each 2 packs you get 1 pack free.
- 10 packs + 5 free packs = 15 packs
The total cost to buy 10 packs = 10 × 2.10 = 21
The cost of 150 envelopes in shop 2 is 21
The difference between shop 2 and shop 1 = 21 - 20.94 = 0.06
Therefore, the cost in shop 1 is 0.06 less than shop 2. So, Suha should buy 150 envelopes from shop 1.