In the quadratic equation 22 + 5x + 6 = 0

Mathematics

1 answer:

Inessa05 [86]3 years ago

8 0

A=0 b=5 c=6 esaaa es!!!!!!

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3 / m + 4 - 4 / m = 6 (i) Show that this equation can be written as 6m^2 + 25m+16= 0

Evgen [1.6K]

Answer:

Proved Below

Step-by-step explanation:

$\sf \frac{3}{m+4} - \frac{4}{m} = 6\\LCM = m(m+4)\\Multiplying \ both \ sides \ by\ m(m+4)\\3m - 4(m+4) = 6m(m+4)\\3m-4m-16 = 6m^2+24m\\-m-16 = 6m^2+24m\\Adding\ m\ to\ both\ sides\\-16 = 6m^2+24m+m\\-16 = 6m^2+25m\\Adding \ 16 \ to \ both \ sides\\0 = 6m^2+25m+16\\OR\\6m^2+25m+16 = 0$

Hence, Proved that $\sf \frac{3}{m+4} - \frac{4}{m} = 6$ is equivalent to $\sf 6m^2+25m+16 = 0$ .

6 0

3 years ago

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The number of potato chips in a bag is normally distributed with a mean of 74 and and a standard deviation of 4. Approximately w

aleksklad [387]

Answer:

99.8% is the percent of bags contain between 62 and 86 potato chips.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 74

Standard Deviation, σ = 4

We are given that the distribution of number of potato chips in a bag is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P( bags contain between 62 and 86 potato chips)

$P(62 \leq x \leq 86) = P(\displaystyle\frac{62 - 74}{4} \leq z \leq \displaystyle\frac{86-74}{4}) = P(-3 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -3)\\= 0.999 - 0.001 = 0.998 = 99.8\%$