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2 years ago

Solve x^2-12x+5=0 using the completing the square method

Mathematics

1 answer:

djyliett [7]2 years ago

3 0

Answer:

x= 6 ± √31

Step-by-step explanation:

x^2-12x=-5

x^2 -12x +36= -5 +36

(x -6)^2= 31

√(x -6)^2= ±√31

(x-6)= ±√31

x= 6 ± √31

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Complete the steps to add 3 2/5 +1 3/10 . 1. Write mixed numbers as improper fractions. 2. Write equivalent fractions with a com

ira [324]

Answer:

47/10 = 4 7/10

Step-by-step explanation:

3 2/5 + 1 3/10

1. Write mixed numbers as improper fractions:

17/5 + 13/10

2. Write equivalent fractions with a common denominator:

34/10 + 13/10

3. Add the numerators over the common denominator.

47/10

4. Simplify.

4 7/10

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3 years ago

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Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic re

Yanka [14]

Answer:

$Range=14$

$\sigma^2 =32.4$

$\sigma = 5 .7$

The standard deviation will remain unchanged.

Step-by-step explanation:

Given

$Data: 136, 129, 141, 139, 138, 127$

Solving (a): The range

This is calculated as:

$Range = Highest - Least$

Where:

$Highest = 141; Least = 127$

So:

$Range=141-127$

$Range=14$

Solving (b): The variance

First, we calculate the mean

$\bar x = \frac{1}{n} \sum x$

$\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)$

$\bar x = \frac{1}{6} *810$

$\bar x = 135$

The variance is calculated as:

$\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2$

So, we have:

$\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]$

$\sigma^2 =\frac{1}{5}*[162]$

$\sigma^2 =32.4$

Solving (c): The standard deviation

This is calculated as:

$\sigma = \sqrt {\sigma^2 }$

$\sigma = \sqrt {32.4}$

$\sigma = 5 .7$ --- approximately

Solving (d): With the stated condition, the standard deviation will remain unchanged.

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3 years ago

I need help with this because I don’t understand

GalinKa [24]

Answer:

x=1+√5 or x=1−√5

Step-by-step explanation:

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3 years ago

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A dilation has center (0, 0). Find the image of each point for the given scale factor.

pshichka [43]

Answer:

A. (−3,5)

Step-by-step explanation:

The rule for dilation by scale factor k is given by:

$(x,y)\to (kx,ky)$

The given point is P(-3,5) and the scale factor is k=1

We substitute the point and the scale factor into the rule to get:

$P(-3,5)\to P'(-3\times1,5\times1)$

This gives us:

$P(-3,5)\to P'(-3,5)$

The correct answer is A

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3 years ago

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2 years ago