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solniwko [45]
3 years ago
15

40x=10x^2+41 Identify the number of solutions and their types using the discriminant

Mathematics
1 answer:
nydimaria [60]3 years ago
6 0

Number of solutions: no roots

Type of solution: Not Real

Step-by-step explanation:

We need to identify the number of solutions and their types using the discriminant.

We are given: 40x=10x^2+41\\

Rearranging:

40x-10x^2-41=0\\10x^2-40x+41=0

Discriminant can be found by: b^2-4ac

where b=-40, a=10 and c=41

Putting values:

b^2-4ac\\=(-40)^2-4(10)(41)\\=1600-1640\\=-40\\

So, Discriminant is -40

If the discriminant is less than zero i.e -40 then there are no real roots.

So, Number of solutions: no roots

Type of solution: Not Real

Keywords: discriminant

Learn more about discriminant at:

  • brainly.com/question/8196933
  • brainly.com/question/9328925
  • brainly.com/question/9184197

#learnwithBrainly

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2 years ago
What is the value of x in <br> 150-35x=45
Annette [7]
Your answer is x = 3 because if you take 150 and subtract it by both sides: 
 150 - 35x = 45
-150           -150

you have to cross out both 150 and -150, take 45 and subtract 150 which will give you -105. 
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take -35 and divide by both sides. Cross out the two -35's. Take -105/-35 which your answer is x = 3. Hopes this helps. :)

~Shadow
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3 years ago
Lonnie plans to join the gym. He must pay a $35 membership fee. He will
mash [69]

Answer:

5

Step-by-step explanation:

The slope will be the constant amount that the cost increases by each month.

In this situation, 5 is the slope, because he has to pay $5 each month.

35 is not the slope, and is instead the y intercept. This is because this is the cost at 0 months, since it is the membership fee.

So, the correct answer is 5.

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2 years ago
Given 3x^2+x-4/x-1 what are the domain and range
Katarina [22]

Answer:

  • doman: x ≠ 1
  • range: y ≠ 7

Step-by-step explanation:

The domain is the horizontal extent of the graph, the set of x-values for which the function is defined. The range is the vertical extent of the graph, the set of y-values defined by the function.

<h3>Simplified</h3>

The given function is undefined where its denominator is zero, at x=1. Everywhere else, it can be simplified to ...

  \dfrac{3x^2+x-4}{x-1}=\dfrac{(x-1)(3x+4)}{(x-1)}=3x+4\quad x\ne 1

<h3>Domain</h3>

The simplified function (3x+4) is defined for all values of x except x=1. The simplest description is ...

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In interval notation, this is ...

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<h3>Range</h3>

The simplified function is capable of producing all values of y except the one corresponding to x=1: 3(1)+4 = 7. The simplest description is ...

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In interval notation, this is ...

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1 year ago
Pls help me on this question
astraxan [27]

Answer:

h < 2

Step-by-step explanation:

Step 1: Distribute

10h + 40 < 60

Step 2: Subtract 40 on both sides

10h < 20

Step 3: Divide both sides by 10

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4 0
2 years ago
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