Answer:
4x - 8 + 4y
Step-by-step explanation:
Given
4(x - 2 + y) ← multiply each term in the parenthesis by 4 ( distributive law )
= 4x - 8 + 4y
Answer:
<u>1. 6(4x+3y</u>
<u>1. 6(4x+3y2. 8(2x+5y</u>
Step-by-step explanation:
<u>1. 6(4x+3y)</u>
The GCF of 24 and 18 is 6 so it is outside of the parenthesis. It cannot be reduced anymore because 3 isnt a perfect square.
<u>2. 8(2x+5y)</u>
The GCF of 16 and 40 is 8 so it is outside of the parenthesis. It cannot be reduced anymore because 5 isnt a perfect square.
Answer:
-6 x (X-1)/2
Step-by-step explanation:
The complete question is
Which statement is true about the factorization of 30x² + 40xy + 51y²<span>?
A. The factorization of the polynomial is 10(3x2 + 4xy + 5y2).
B. The polynomial can be rewritten as the product of a trinomial and xy.
C. The greatest common factor of the polynomial is 51x2y2.
D. The polynomial is prime, and the greatest common factor of the terms is 1.
we know that
case A) </span>is not right because 10 is not a common factor of the three terms.
case B) is not right because the original polynomial is already a trinomial
case C) is not right because the terms do not contain 51x^2y^2
<span>case D) is right
because
</span><span>Factors of 30 are-----> 1,2,3,5,6,10,15,30
</span>Factors of 40 are-----> 1,2,4,5,8,10,20,40
Factors of 51 are-----> 1,51
<span>so
</span><span>The "Greatest Common Factor" is the largest of the common factors
</span><span>the GFC is 1
therefore
the answer is the option
</span>D. The polynomial is prime, and the greatest common factor of the terms is 1<span>
</span>
Answer:
a) 5 people
b) Yes.
Step-by-step explanation:
The best way to solve this problem is to use the amount of work needed each week and divide it by the amount worked by each person (150/32). This will give you 4.6875. However, you cannot have 6/10 of a person, so you must round up to the next whole number, 5. There are 5 people needed to fulfill the amount of hours posted. For Part B, you will be decreasing the hours worked by each person from 32 to 30. Use the same method you did above and divide the total amount of work needed by the amount worked by each person (150/30) to get 5 on the dot. Your answer is Yes.
I hope this helps! Good luck!