Answer:
hope that helps
Step-by-step explanation:
Factoring p2-14p-24
The first term is, p2 its coefficient is 1 .
The middle term is, -14p its coefficient is -14 .
The last term, "the constant", is -24
Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -14 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2
-4 + 6 = 2
-3 + 8 = 5
-2 + 12 = 10
-1 + 24 = 23
23 is the answer for this question
Answer:
D. <em>Marie can make 60 pies</em>.
Step-by-step explanation:
In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:
A. <em>Marie can make 30 pies</em>.


25 mangoes are required for producing 30 pies.
B. <em>Marie can make 40 pies</em>.


34 mangoes are required for producing 40 pies.
C. <em>Marie can make 50 pies</em>.


42 mangoes are required for producing 50 pies.
D. <em>Marie can make 60 pies</em>.


50 mangoes are required for producing 60 pies.
The complete statement is: <em>Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes. </em>
Hence, correct answer is D.
36 and 100 are both perfect squares
the factorization of x^2-y^2 is (x+y)(x-y)
substitute x^2 with 36x^2 and y^2 with 100y^2:
<span>36x^2-100y^2=
(6x+10y)(6x-10y) or
4(3x+5y)(3x-5y)</span>