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sergeinik [125]
3 years ago
11

Given the trinomial 5x2 − 2x − 3, predict the type of solutions.

Mathematics
2 answers:
Shtirlitz [24]3 years ago
5 0

its 2 rational solutions, use b^2 - 4ac to find the answer


marissa [1.9K]3 years ago
3 0

Answer:

Option a, two rational solutions.

Step-by-step explanation:

It is given the trinomial as

5x^2-2x-3

This is a quadratic equation in standard form.

To find the nature of roots let us analyse the discriminant.

Discriminant of the quadratic equation

=b^2-4ac\\=(-2)^2-4(-3)(5)\\=4+60\\=64

Since discriminant is a perfect square, we see that the roots will be rational.

Hence two rational solutions is the answer.

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A polynomial is factored using algebra tiles. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in
MatroZZZ [7]

Polynomials consist of both indeterminates and coefficients. The polynomial that was factored in is x² - 2x - 8.

<h3>What are polynomials?</h3>

A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.

Given to us

1 is labeled x squared,

2 are labeled x,

4 tiles below x squared are labeled negative x,

8 tiles below the x tiles are labeled negative.

As we know that algebra tiles are the tiles that represent variables or coefficients. Also, the shape of the tiles can be rectangle or square.

These tiles can be represented as,

1 is labeled x squared, = x²

2 are labeled x,  = 2x

4 tiles below x squared are labeled negative x = -4x

8 tiles below the x tiles are labeled negative = -8

Sum all the terms we will get,

x² + 2x - 4x - 8

x² - 2x - 8

Hence, the polynomial that was factored in is x² - 2x - 8.

Learn more about Polynomials:

brainly.com/question/17822016

4 0
2 years ago
3/5 of a number is 30. What is the number?<br><br><br> 10<br> 20<br> es<br> 18<br> 15
S_A_V [24]

Answer:

50

Step-by-step explanation:

\frac{3}{5}*x=30\\x=30*5/3=50

4 0
3 years ago
Find an explicit formula for the geometric sequence 96, 24, 6, 1.5
kirill115 [55]

Answer:

This is a geometric sequence since there is a common ratio between each term. in this cade, multiplying the previous term in the sequence by 1/4 gives the next term.

Step-by-step explanation:

6 0
3 years ago
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ryzh [129]
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3 years ago
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Answer:

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{:}\longrightarrow\sf {\dfrac {2}{3}}

3 0
3 years ago
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