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kykrilka [37]
2 years ago
14

Given that the expression 2x² -2.9x-3.6 can be factorized into the form 0.1(px+q)(rx+s), where p, q, r and s are integers, find

the value of p + q + r + s. ​
Mathematics
1 answer:
Nonamiya [84]2 years ago
3 0

~~2x^2-2.9x-3.6\\\\=\dfrac{20}{10}x^2 - \dfrac{29}{10} x-\dfrac{36}{10}  \\\\=\dfrac 1{10} (20x^2 -29x -361)\\\\=0.1(20x^2-29x-36)\\\\=0.1(20x^2-45x+16x-36)\\\\=0.1[5x(4x-9)+4(4x-9)]\\\\=0.1(5x+4)(4x-9)\\\\\text{Where,}~ p=5, ~ q=4,~ r=4~,s=-9\\\\\text{Hence,}~ \\\\p+q+r+s \\\\ = 5+4+4 -9 \\\\=13-9 \\\\ =4

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Answer:

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⇒  It is given that roots are real and distinct.

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⇒  (−k)2−4(1)(9)>0

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⇒  k2>36

⇒  k>6 or k<−6

∴  We can see values of k given in question are correct.

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2 years ago
1. What is the median of the following numbers? 36,42,28, 52, 48, 36, 31<br> 36<br> O 42<br> O 48
Kruka [31]
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3 years ago
A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters
PilotLPTM [1.2K]

Answer:

e. 0.0072

Step-by-step explanation:

We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .

 Let    Z = \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)  where, Xbar = mean contents of six randomly

                                                                     selected bottles

                                                          n = sample size i.e. 6    

So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)

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Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .

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7 0
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Use the stem and leaf plot graph to answer the question.
kogti [31]
<h3>Answer:   13 days</h3>

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