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2 years ago

What is the quotient: (3x2 + 8x – 3) ÷ (x + 3) ?. Answer. A) 3x + 5, r = 1. B) 3x – 1. C) 3x + 1. D) 3x – 5.

Mathematics

1 answer:

katen-ka-za [31]2 years ago

4 0

B. 3x-1 is the answer.

Hope this helps and good luck. :)

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997 1/3 in 3

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3 years ago

A set of wrist watch prices are normally distributed with a mean of 767676 dollars and a standard deviation of 101010 dollars. W

Akimi4 [234]

Answer:

0.8224

Step-by-step explanation:

Data

mean: $76

standard deviation, sd: $10

first value of interest, x1: $63

second value of interest, x2: $90

z-score for x1:

z1 = (x1 - mean)/sd = (63 - 76)/10 = -1.3

z-score for x2:

z2 = (x2 - mean)/sd = (90 - 76)/10 = 1.4

The proportion of wrist watch prices are between $63 and $90 is:

P(z1 < z < z2) = P(z < 1.4) - P(z < -1.3)

P(z < 1.4) = 0.9192 (see first picture attached)

P(z < -1.3) = 0.0968 (see second picture attached)

P(z1 < z < z2) = 0.9192 - 0.0968 = 0.8224

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2 years ago

The median number of goals scored by 7 players in a certain soccer season is 5. The range of the number of goals scored by those

OLEGan [10]

True true true true

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3 years ago

Graph the system of linear inequalities.<br> y > 3x + 2<br> y ≤ 3x − 4

Alisiya [41]

$y > 3 \times 2 \\ solve \: for \: y \\ y > 6 \\ ye \: {6 + \infty }$

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3 years ago

If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy

Free_Kalibri [48]

Answer:

See Explanation

Step-by-step explanation:

$log(x + y) = log3 + \frac{1}{2} logx+ \frac{1}{2} logy \\ \\ log(x + y) = log3 + logx ^{\frac{1}{2}} + logy ^{\frac{1}{2}}\\ \\ log(x + y) = log3 + log(xy) ^{\frac{1}{2}} \\ \\ log(x + y) = log[3(xy) ^{\frac{1}{2}}] \\ \\ x + y = 3(xy) ^{\frac{1}{2}} \\ \\ squaring \: both \: sides \\ {(x + y)}^{2} = \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2} \\ \\ {x}^{2} + {y}^{2} + 2xy = 9xy \\ \\ {x}^{2} + {y}^{2} = 9xy - 2xy \\ \\ \purple{ \bold{{x}^{2} + {y}^{2} = 7xy}} \\ thus \: proved$

7 0

2 years ago

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