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Karolina [17]
3 years ago
5

Factor the following perfect square trinomial

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
6 0
25x^2+10x+1

25x^2+5x+5x+1

5x(5x+1)+1(5x+1)

(5x+1)(5x+1)

(5x+1)^2
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Five years ago, Benjamin invested in Parchar Special Effects. He purchased four par value $1,000 bonds from Parchar Special Effe
siniylev [52]

Answer:

Five years ago, Benjamin invested in Parchar Special Effects. He purchased four par value $1,000 bonds from Parchar Special Effects at a market rate of 96.230. Each bond had an interest rate of 7.2%. Benjamin also purchased 200 shares of stock in the same company, each of which cost $19.08 and had a yearly dividend of $2.04. Today, bonds from Parchar Special Effects have a market rate of 104.595, and stock in Parchar Special Effects costs $22.62. If Benjamin liquidates his portfolio and sells all of his investments, which aspect of his investment will have yielded him a greater total profit, and how much greater is it?

  1. Step-by-step explanation:

6 0
3 years ago
When the sum of 5 and three times a positive number is subtracted from the square of the number, 0 results. Find the number.
Juliette [100K]
x-the\ number\\\\x^2-(5+3x)=0\\\\x^2-5-3x=0\\\\x^2-3x-5=0

Use\ the\ quadratic\ formula:\\a^2x+bx+c=0\\\\\Delta=b^2-4ac\\\\if\ \Delta > 0\ then\ x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\if\ \Delta=0\ then\ x_0=\dfrac{-b}{2a}\\\\if\ \Delta < 0\ then\ no\ solution

x^2-3x-5=0\\\\a=1;\ b=-3;\ c=-5\\\\\Delta=(-3)^2-4\cdot1\cdot(-5)+3+20=29 \ \textgreater \  0\\\\\sqrt\Delta=\sqrt{29}\\\\x_1=\dfrac{3-\sqrt{29}}{2\cdot1}=\dfrac{3-\sqrt{29}}{2} \ \textless \  0\\\\x_2=\dfrac{3+\sqrt{29}}{2\cdot1}=\dfrac{3+\sqrt{29}}{2} \ \textgreater \  0

Answer:\ \boxed{x=\dfrac{3+\sqrt{29}}{2}}
6 0
3 years ago
How do I solve this
ra1l [238]
-2+(-5)=-7 and 6+(-3)=3
5 0
3 years ago
What is the domain of the function f(w) = 0.5(35 – 2w)? Explain your answer.
Igoryamba
The domain is all real numbers, the function is a variant of linear, which could be expressed in the form of y=mx+b as y = -w + 17.5, therefore all real numbers is the domain and the range.
5 0
3 years ago
A ; 1/2. B ; 1/3. C ; 2/3 D ; 4/9
hichkok12 [17]

Option B, 1/3

Since pepper topping can be in any size pizza, it remains as a 1/3 probability, since there are three toppings per size.

3 0
3 years ago
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