2x^2 + 5x + 2 = 0
(x + 2)(2x + 1) = 0
x = -2 x = - 1/2
Letter C
Answer:
The correct answer is certain with probability equal to 1.
Step-by-step explanation:
Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.
We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.
Here the experiment is picking a blue card from a bag containing all blue cards.
Possible outcomes are all the cards colored blue in the bag.
Total outcomes are also all the blue cards in the bag.
∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.
Answer: 14x^2-93xy+60y^2 Hope that helps!
Step-by-step explanation:
1. Expand by distributing terms
(20x-12y)(x-4y)-(3x-4y)(2x+3y)
2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd
20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)
3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd
20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)
4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2
5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)
6. Simplify.
And your answer would be 14x^2-93xy+60y^2
<h3>
Answer: 13,011.11 dollars</h3>
note: remember to take the comma out or ignore it. I put it in there to help make the number more readable
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Explanation:
Let x be the value of the sale in dollars.
x-1900 represents the leftover amount that is over 1900
eg: if x = 2200, then x-1900 = 2200-1900 = 300 is the the leftover amount
taking 9% of (x-1900) leads to the expression 0.09(x-1900) and this expression must be 1000 since this is the extra amount of money the salesman needs (he already has $1000 in base pay)
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Solve for x
0.09(x-1900) = 1000
x-1900 = 1000/0.09
x-1900 = 11,111.11111 approximately
x = 11,111.11111 + 1900
x = 13011.1111
x = 13,011.11 rounding to the nearest cent
<span>Simplifying
y(2x + 3y)(2x + 3y)
Multiply (2x + 3y) * (2x + 3y)
y(2x * (2x + 3y) + 3y * (2x + 3y))
y((2x * 2x + 3y * 2x) + 3y * (2x + 3y))
Reorder the terms:
y((6xy + 4x2) + 3y * (2x + 3y))
y((6xy + 4x2) + 3y * (2x + 3y))
y(6xy + 4x2 + (2x * 3y + 3y * 3y))
y(6xy + 4x2 + (6xy + 9y2))
Reorder the terms:
y(6xy + 6xy + 4x2 + 9y2)
Combine like terms: 6xy + 6xy = 12xy
y(12xy + 4x2 + 9y2)
(12xy * y + 4x2 * y + 9y2 * y)
(12xy2 + 4x2y + 9y3)</span>
