Answer: (2x+5)(2x−5)
Step-by-step explanation:For me, what i like to do is to try divide the problem into two parts. For example in this problem, you would divide the 4x^2 into two 4x(since 4x+4x = 4x^2). Then 25 can be divide into into 5s (5x5=25). SInce you know that its a negative 25, you know that it has to be a negative on one of the sides. So the answer in factor form is (2x+5)(2x−5)
Answer:

Step-by-step explanation:
We are given the following in the question:
Quantity, q
Selling price in dollars per yard, p

Total revenue earned =

f(20)=13000
This means that 13000 yards of fabric is sold when the selling price is 20 dollars per yard.
f′(20)=−550
This means that increasing the selling price by 1 dollar per yards there is a decrease in fabric sales by 550.
We have to find R'(20)
Differentiating the above expression, we have,

Putting the values, we get,

Answer: Jorge has 62 marbles.
Step-by-step explanation: Given that Jaime has 38 marbles if Jorge had 14 more marbles he would have twice as many as Jaime.
We are to find the number of marbles that Jorge has.
Let x and y represents the number of marbles that Jalme and Jorge has respectively.
Then, according to the given information, we have

and

Thus, Jorge has 62 marbles.