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KIM [24]
1 year ago
6

Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x +

9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
Mathematics
1 answer:
Ede4ka [16]1 year ago
5 0

The required steps are

<em>2x^2 + 12x – 3 = 0. </em>

<em>2x2 + 12x  = 3</em>

<em>2(x^2+6x) = 3</em>

<em>2[(x+3)^2 - 9] = 3</em>

<h3>Completing the square method</h3>

Quadratic equations are equations that has a leading degree of 2

Given the equation below;

2x^2 + 12x – 3 = 0.

Add 3 to both sides

2x2 + 12x  = 3

Factor out 2

2(x^2+6x) = 3

Complete the square

2(x^2+6x+3^2-3^2) = 3

2[(x+3)^2 - 9] = 3

This gives the required steps to solve the equation

Learn more on completing the square here: brainly.com/question/13981588

#SPJ1

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Answer:

In the given options, 4+5 = 5+4 shows the best commutative property.

Step-by-step explanation:

One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.

Commutative property can be applied on addition, subtraction and multiplication.

<u>Commutative property of Addition:</u>

Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a

In the given options, 4+5 = 5+4 shows the best commutative property.

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Step-by-step explanation:

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A psychology professor assigns letter grades on a test according to the following scheme. A: Top 10% scores, B: Scores below 10%
stich3 [128]

Answer:

The numerical limits for a D grade is between 57 and 64.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 71.5, \sigma = 9.5

D: Scores below the top 80% and above the bottom 7%

Between the 7th and the 100 - 80 = 20th percentile.

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X when Z has a pvalue of 0.07. So X when Z = -1.475.

Z = \frac{X - \mu}{\sigma}

-1.475 = \frac{X - 71.5}{9.5}

X - 71.5 = -1.475*9.5

X = 57.49

So 57

20th percentile:

X when Z has a pvalue of 0.2. So X when Z = -0.84.

Z = \frac{X - \mu}{\sigma}

-0.84 = \frac{X - 71.5}{9.5}

X - 71.5 = -0.84*9.5

X = 63.52

So 64

The numerical limits for a D grade is between 57 and 64.

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