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KiRa [710]
4 years ago
9

Which of the following is a polynomial with roots: − square root of 5 , square root of 5 , and −3?

Mathematics
1 answer:
tresset_1 [31]4 years ago
4 0
Roots: - √5 , √5, and - 3

=> these are factors of the polynomial: (x + √5), (x - √5), and (x + 3).

Multiply those three factors:

(x + √5) (x - √5) ( x + 3) = [x^2 - 5] ( x + 3 ) = x^2 + 3x^2 - 5x - 15

Therefore the polynomial x^2 + 3x^2 - 5x - 15 is a polynomial with the given roots.

Answer: option B. x^3 + 3x^2 - 5x - 15
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3 years ago
A university's freshman class has 10000 students. 2500 of those students are majoring in Engineering. What percentage of the fre
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Answer:

25%

Step-by-step explanation:

2500*4 = 10000

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3 years ago
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Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t i
Lorico [155]

Answer:

Step-by-step explanation:

We are given the position function and need to find the value of t when h<17.

Create an inequality that represents this situation:

-16t^2+81 The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.

The simplest way to solve this is to subtract 81 from both sides:

-16t^2 then divide both sides by -16:

t^2>4 Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is

t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.

6 0
3 years ago
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If you roll a fair six-sided die and a fair four-sided die, what is the probability that the dice add to 7?
sveticcg [70]

1/6.

For any given roll on a four-sided die, there is exactly one roll on a six-sided die (1/6 chance) which will sum to 7.

Since it doesn’t matter what you roll on the four-sided die, the chance is always 1/6 with a fair six-sided die.

One interesting result of this is that only the 6-sided die has the be fair for this result to hold. The 4-sided die can be very biased in any direction and the final result will still be 1/6.

4 0
3 years ago
mr Rowley has 16 homework papers and 14 exit tickets to return ms rivera had 64 homework papers and 60 exit tickets to return fo
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Mr. Rowley: 16:14 which reduces to 8:7
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The ratios are not equivalent because when they are reduced, they do not equal the same thing.
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3 years ago
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