Answer: (As the number of years increases without bound, the population increases without bound.)
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Answer:
The answer is C. As the number of years increases without bound, the population increases without bound.
100 – 36x2y2
16x2 + 24xy + 9y2
49x2 – 70xy + 10y2
Answer:
C.
Step-by-step explanation:
We have been given 4 expressions and we are asked to choose the expression that is a perfect square trinomial.
We know that a perfect square trinomial is in form: .
Upon looking at our given choices we can see that option C is the correct choice as we can write as:
Therefore, option C is the correct choice.
A perfect square trinomial is found in the expression where both the leading coefficients and the constant are both perfect squares. That only is the case with the third choice above. 16 is a perfect square of 4 times 4, and 9 is a perfect square of 3 times 3. We need to set it up into its perfect square factors and FOIL to make sure, so let's do that. Not only is 16 a perfect square in that first term, but so is x-squared. Not only is 9 a perfect square in the third term, but so is y-squared. So our factors will look like this:
(4x + 3y)(4x + 3y). FOIL that out to see that it does in fact give you back the polynomial that is the third choice down.
b. What is the probability of owing $100 or more?
The probability in the game show 'Spinning for Luck!' depends on the sector division of each wheel and the range of dollar amounts and multipliers. To calculate, find combinations resulting in the desired outcomes and divide by total combinations.
The subject of this question is probability. It's difficult to answer directly since we do not have enough data. However, let's take an example. If each wheel has 10 sectors with equal chance of landing, and let's suppose the dollar amounts are from $10 to $100(increment of $10) and multipliers are from -2 to 8. To win $100 or more, in this setup, the first wheel needs to land on a $50 (and multiplier 2), a $20 with multiplier of 5, and so on. The amount of combinations resulting in $100 or above would need to be calculated and divided by the total amount of combinations (100).
Also, to owe $100 or more, we need to be unlucky enough to land on -2 multiplier, and amount more than $50. Again, we calculate combinations and divide by total combinations.
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Answer a ) 25%
Answer b ) 8.33%
The following formula can be used to determine the likelihood of both winning and owing $100 or more:
a. ) Chance of winning at least $100:
On the first wheel, there is a 2/6 = 1/3 chance of landing in a sector that equates to $100 or more.
On the second wheel, there is a 3/4 chance of landing on a multiplier other than -2.
The odds of both happening are (1/3) * (3/4) = 1/4 or 0.25.
The likelihood of earning $100 or more is thus 0.25, or 25%.
b. ) Likelihood of having at least $100 in debt:
The odds of landing on a sector with a value on the first wheel that is less than or equal to -$50 are 2/6 = 1/3.
A landing on a -2 multiplier on the second wheel has a 1/4 chance of happening.
1/12, or 0.08333, is the likelihood that both occurrences will occur (1/3) * (1/4).
Thus, the likelihood of owing $100 or more is 0.08333, or around 8.33%.
Therefore the final answer is 25% and 8.33%.
To know more about probability visit : brainly.com/question/11234923
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Answer:
2(x^2+5)=60 to 2x^2+10=60
distributive property (a(b+c)=ab+ac)
2x^2+10=60 to 2x^2=50
property of equality or something like thht (a=a and b=b, so a-b=a-b) and also
addative inverse (a+-a=0) (added -10 to both sides)
2x^2=50 to x^2=25
propery of euality and multiplicative inverse (a times 1/a=1) and one produce property (1 times a=a)
x^2=25 to x=+/-5
property of equality and something else
Step-by-step explanation: