Answer:
B. 4x + 1
Step-by-step explanation:
4x^2 + 21x + 5
= (4x + 1)(x + 5)
Factors of this trinomial are (4x + 1) and (x + 5)
Answer
(4x + 1)
Answer:
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Answer:
Minimum number of units sold to make profit is equal to 20
Step-by-step explanation:
Revenue earned by the company as a function of number of units sold as x:
R(x) = 0.55x
Cost for selling units as a function of number of units sold as x:
C(x) = 10 + 0.05x
<em>Net profit earned by the company = (Revenue earned by the company) - (Cost of selling units)</em>
P(x) = (0.55x) - (10 + 0.05x)
P(x) = 0.55x - 10 - 0.05x
P(x) = 0.5x - 10
To earn profit the following condition should satisfy: P(x) ≥ 0
0.5x - 10 ≥ 0
0.5x ≥ 10
x ≥ 
x ≥ 20
If you're factoring, your answer is
(4x - 3)(4x + 5)
You'll work it out this way:
16x^2 + 8x - 15
Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:
16x^2 + 20x - 12x - 15
From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:
4x(4x + 5) - 3(4x + 5)
Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to
(4x - 3)(4x + 5)