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allochka39001 [22]
3 years ago
11

Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest number of p

ossible solutions to this system?
a.0
b.1
c.2
d.4
Mathematics
2 answers:
german3 years ago
8 0
The answer would be option c. A quadratic equation and a linear equation only involves two variables, an independent variable and a dependent variable. Therefore, having these two equation, the greatest number of possible solutions to this <span>system is two. </span>
Nady [450]3 years ago
7 0
For this case we have the following type of equations:
 Quadratic equation:
 y = ax ^ 2 + bx + c&#10;
 Linear equation:
 y = mx + b&#10;
 We observe that when equating the equations we have:
 ax ^ 2 + bx + c = mx + b&#10;
 Rewriting we have:
 ax ^ 2 + (b-m) x + (c-b) = 0&#10;
 We obtain a polynomial of second degree, therefore, the maximum number of solutions that we can obtain is 2.
 Answer:
 The greatest number of possible solutions to this system is:
 c.2
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Find the explicit formula for the sequence? -1,4,-16,64......
Ede4ka [16]

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Step-by-step explanation:

Given sequence is:

-1,4,-16,64.....

We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.

Here

a_1 = -1\\a_2 = 4\\a_3 = -16\\a_4 = 64\\r = \frac{a_2}{a_1} = \frac{4}{-1} = -4\\r = \frac{a_3}{a_2} = \frac{-16}{4} = -4

The explicit formula for geometric sequence is:

a_n = a_1r^{n-1}

Putting the values of r and a1

a_n = -1 . (-4)^{n-1}

Hence

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/4767370
  • brainly.com/question/4770453

#learnwithBrainly

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Step-by-step explanation:

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The length of a rectangle is 5 inches and the width is 7 inches. What is the area of
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Find the value of x needed to make the equation true.<br> 8x – 4 = 13x + 6
Kipish [7]

Answer:

x = -2

Step-by-step explanation:

<u><em>First, you need to subtract 8x from both sides:</em></u>

8x – 4 = 13x + 6

-8x         -8x

____________

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<em><u>Then, subtract 6 from both sides:</u></em>

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________

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<u><em>Lastly, divide both sides by 5:</em></u>

-10 = 5x

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