Answer:
None of the above
Step-by-step explanation:
To find the GCF of something find the prime factorization of each number, then see which numbers are the same. After that multiply the numbers that are the same.
(PF): Prime Factorization
A: PF - 1 PF - 2 · 3 (Since they don't have any numbers in common the GCF is 1)
B: PF - 2 PF - 3 (The GCF is also 1)
C: PF - 2 PF - 2 · 3 (Because they have 2 in common the GCF is 2)
D: PF - 3 PF - 2 & 2 (The GCF is 1)
None of the options have a GCF of 3. Therefore it is none of the above
Answer:
The correct options are
(b)y²-5y=750
(c)750-y(y-5)=0
(e)(y+25)(y-30)=0
Step-by-step explanation:
Given that,
The area of rectangular room is 750 square feet.
Let the length of the rectangular room be y feet.
Since the width of the rectangular 5 less than the length of the room.
Then the width of the given rectangular room is (y-5) feet.
We know the area of a rectangular plot is = Length×width.
The area of the rectangular room is = y(y-5) square feet
According to problem,
y(y-5) =750.........(1)
⇒y²-5y=750 .......(2)
⇒y²-5y-750=0
⇒y²-30y+25y-750=0
⇒y(y-30)+25(y-30)=0
⇒(y-30)(y+25)=0 ......(3)
⇒y-30=0 or, y+25=0
⇒y= 30, -25
The length of a rectangle can't negative.
So, x=30.
We can rewrite the equation (1) in form of
(i)
y(y-5) =750
⇒750= y(y-5)
⇒750-y(y-5)=0.......(4)
(ii)
y(y-5) =750
⇒y(y-5) -750=0.......(5)
The correct options are
(b)y²-5y=750
(c)750-y(y-5)=0
(e)(y+25)(y-30)=0
If you divide 25 by 6 you get 4.1 something then you multiply by 12 to get 50
Answer: Choice C
As 
then 
As 
then 
Check out the diagram below.
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Explanation:
The leading term is the term with the largest exponent. That would be the term of 
. The leading term directly determines the end behavior. The other terms will not play a role.
What this means is that the end behavior of 
is the exact same as the end behavior of 
As x gets really big in the positive direction, we'll have get really small in the negative direction. For instance, x = 10 leads to 
and x = 100 leads to 
Therefore, as then
Visually the graph goes forever downward when we move to the right. We can consider this as "falls to the right".
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The graph "rises to the left" because as then
Here's a small table to give numeric examples:
As x gets more negative, y becomes more positive. We have this opposite nature going on similar to the previous section.
This graph goes uphill when moving to the left.
Check out the graph below. In the diagram I used a = 2, but you could use any value of 'a' you want to get the same end behavior.
