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faust18 [17]
2 years ago
5

Which of the following represents the set of possible rational roots for the

Mathematics
2 answers:
yawa3891 [41]2 years ago
7 0
<h3>Answer: Choice D</h3>

The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20

========================================================

Explanation:

Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.

  • Factors of 20 are: 1,2,4,5,10,20
  • Factors of 2 are: 1,2

Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).

A table like the one shown below might be handy to keep track of all the terms.

Sholpan [36]2 years ago
3 0

Answer:

  • D

Step-by-step explanation:

<u>Simplify the given equation by dividing all terms by 2:</u>

  • x³ + 2.5x² - 4x - 10 = 0
  • x²(x + 2.5) - 4(x + 2.5) = 0
  • (x + 2.5)(x² - 4) = 0
  • (x + 2.5)(x + 2)(x -2) = 0

<u>Roots are:</u>

  • - 2.5, -2, 2

Correct choice is D

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I need help can somebody answer them with showing me the work thank you :D
Yuki888 [10]

Question 1. It is graph 3 since the y-intercept in the equation is -2 and the y-intercept on the graph 3 is -2. It is also a quadratic function.

Question 2. It is graph two because the equation listed represents a quadratic function that is positive (graph opens up).

Question 3. It is graph 4 since the y-intercept is 2 and the only graph with that intercept is graph 4. Also, the equation represents a linear function.

Hope this helped :))

3 0
3 years ago
A person invests 10000 dollars in a bank. The bank pays 4.5% interest compounded
Greeley [361]

The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.

Step-by-step explanation:

Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.

Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.

The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.

So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.

The number of years to reach 13,500 dollars = \frac{3,500}{450} = 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.

7 0
2 years ago
The sum of three consecutive integers is 105. Find the smallest integer.​
Rasek [7]

Answer:

34.

Step-by-step explanation:

The three integers would be 34,35,36 because the sum of the three numbers is 105.

3 0
2 years ago
a rectangular plot of ground is 30 meters longer than it is wide. its area is 15,00 square meters. what equation will help you f
e-lub [12.9K]
Length(width + 30)=15,000 square meters, so the equation is l(w+30)=15,000, either 15,000 or 1,500 i cannot tell which number you were meaning to say because of where your comma is placed.
4 0
3 years ago
A rectangular field is 0.3 kilometers long and 0.15 kilometers wide. What is the area of the field in square meters?
Anika [276]

Answer:

4.5 meters

Step-by-step explanation:

The formula for the area of a rectangle is length x width. Using this formula, you can substitute the given information and find the area:

length x width = area

0.3km x 0.15km = area

0.045km = area

Finally, you can now convert square kilometres into square meters by multiplying by 100:

0.045 x 100 = 4.5 meters

6 0
3 years ago
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