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gizmo_the_mogwai [7]
2 years ago
12

What substitution should be used to rewrite 16(x3 1)2 – 22(x3 1) – 3 = 0 as a quadratic equation?

Mathematics
2 answers:
Dahasolnce [82]2 years ago
8 0
Well, quadratic equations are defined as to be 2nd degree, so since the highest degree (3) is being raised to the 2nd degree raising it to 6th power which makes th equaton no longer quadraic
take out all exponents over x

16(x+1)^2-22(x+1)-3=0
16(x^2+2x+1)-22x-22-3=0
16x^2+32x+32-22x-25=0
16x^2+10x+7=0

the replacement is to take out all exponents that are over x (x^m should be turned to x^1)
nadezda [96]2 years ago
8 0
<h2>Substitution of y = x³-1 makes the equation in to quadratic.</h2>

Step-by-step explanation:

The function is given by

               16(x³-1)²-22(x³-1)-3=0

We need to convert this in to a quadratic function

Let us substitute

           y = x³-1

We will get

            16y²-22y-3=0  

This is a quadratic equation.

So substitution of y = x³-1 makes the equation in to quadratic.

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11) Which of the following is NOT an assumption of Simple Linear Regression?
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11) c. the independent variables are not col-linear

12) b. Bar graph

13) a. Units of distance from the mean

14) d. None of the above

15) b. The difference between the predicted Y and observed Y

16) c. There is no spatial auto-correlation

17) a. It has a low Adjusted R²

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Step-by-step explanation:

11) With simple linear regression there is a col linear relationship between the dependent variable and the independent variables

Therefore, the correct option is c. the independent variables are not col linear

12) The bar graph which is also known as a bar chart, is used for the frequencies of data that are categorized

Therefore, the correct option is b. Bar graph

13) The z-value is a measure of the distance from the mean, therefore, the correct option is a. Units of distance from the mean

14) The higher the R² value the increased correlation between the factors of the dependent variable and the independent variable

Therefore, the correct option is d. None of the above

15) In an OLS residual error = Observed value of Y - Predicted value of Y

Therefore, the best option is b. The difference between the predicted Y and observed Y

16) A Moran's I value of zero indicates perfect randomness or no auto-correlation

The correct option is therefore, c. There is no spatial auto-correlation

17) The adjusted R² value increases when the added variable improves the model to the observation correlation more than would be expected by chance alone, therefore, the correct option is a. It has a low Adjusted R²

18) A leverage point is a point that is far from the other points in the observation, therefore, the correct option is c. A point that can influence the regression in a way that reflects the value of most other points

19) A type 1 error occurs when an accurate (statistically acceptable) null hypothesis is rejected therefore, the correct option is c. Rejecting the Null hypothesis incorrectly

20) The Quantile-Quanttile (QQ) plot is a technique used for checking the commonness of the sources of two sets of data, therefore sources of data that are from the source (hence normally distributed) align with the diagonal lines in a QQ-Plot

The correct option is therefore c. The variable is not normally distributed

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