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lapo4ka [179]
3 years ago
15

Identify the quadratic equation with -1/3 and -1 as its roots.

Mathematics
1 answer:
horsena [70]3 years ago
6 0

Answer:

x^2+(4/3)x+1/3

Step-by-step explanation:

In order to find the quadratic equation, you put the roots in this format:

(x-a)(x-b)=0

(x-(-1/3))(x-(-1))=0

(x+1/3)(x+1)=0

Then you would solve:

x^2+x+(1/3)x+1/3

= x^2+(4/3)x+1/3

Hope this helps!

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What is the slope of the line that passes through the points (9, 1) and (10, -1)? Write your answer in simplest form.​
Otrada [13]

We conclude that the slope of the linear equation that passes through the points (9, 1) and (10, -1) is -2.

<h3>How to get the slope of the line that passes through the points (9, 1) and (10, - 1)?</h3>

A linear equation has the general form:

y = a*x + b

Where a is the slope of the line, and b is the y-intercept.

There is a simple equation to get the slope of a point if we know two points. For a line that passes through ( a, b) and (c, d), the equation for the slope is:

a = (d - b)/(c - a)

In this case we know that our line passes through (9, 1) and (10, -1), then using the above equation, we can see that the slope is:

a = (-1 - 1)/(10 - 9) = -2

We conclude that the slope of the linear equation that passes through the points (9, 1) and (10, -1) is -2.

If you want to learn more about linear equations:

brainly.com/question/1884491

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7 0
2 years ago
Is this an irrational number?
GrogVix [38]

Answer:

no it is not an irrational number

8 0
2 years ago
Suppose each license plate in a certain state has three letters followed by three digits. The letters and and the digits , , and
exis [7]

Answer:

17576000 different possible license plates

Step-by-step explanation:

Note that in the question, repetition is allowed for both the letters and digits.

For the first letter, there are 26  choices to make. For the each of the letters, there are 26 choices for the second letter, and for each of the letters, there are another 26 choices for the third letter.

Therefore, this gives us 26x26x26 = 17576 possible pairs of letters.

For the three numbers, we have ten possibilities for the first digit, ten possibilities for the second digit, and ten possibilities for the third digit.

Therefore, this gives us 10x10x10 =1000 possible numbers.

The combined possibility of the license plates in both three letters and three numbers is 17576 x 1000 = 17576000 different possible license plates.

7 0
3 years ago
Gia got some books from Library yesterday she got five books today Gia returned three books Gia has six books how many books did
makvit [3.9K]

Answer: 4


Explanation:


You can write an algebraic expression to represent the sequence with the books in this way:

  • yesterday she got five books: 5
  • today returned three books: - 3
  • how many books did Gia have to begin: n
  • At the end she has six books, which means that you can set an equality:

       n + 5 - 3 = 6

Now you follow these steps to clear the unknown:

  • do the operations in the left side: n + 2 = 6
  • use subtraction property of equality: n = 6 - 2
  • do the operations: n = 4

And that is the number of books whith which Gina started: 4

6 0
3 years ago
A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6 12
Elis [28]

The fraction which is equivalent to 6/12 is 1/2

What does a fraction mean?

In the first place, fraction is a numerical quantity or relationship where one number is expressed in terms of another.

In order to determine the equivalence of 6/12 in fraction , we need reduce 6/12 to the lowest term, since 6 is common to 6 and 12 and that 6 divided by gives 1 and 12/6 gives 2, which means that we are left 1/2

The correct fraction which is equivalent to 6/12 is 1/2

Find out more about fraction on:brainly.com/question/5243429

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Full question:

A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6/12?

(A) 1/3

(B)1/4

(C) 1/6

(D) 1/2

5 0
2 years ago
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