Draw an area model to represent 4x^2+12x+9 = (2x+3)^2. Label the length and width of the whole square and label each individual
1 answer:
See attachment for the area model of the equation 4x^2+12x+9 = (2x+3)^2
<h3>What are area models?</h3>Area models are shapes used to model or illustrate products, multiplications, divisions and quotients
<h3>How to draw the area model?</h3>The equation is given as:
4x^2+12x+9 = (2x+3)^2
Express (2x+3)^2 as the product of (2x+3) and (2x+3)
4x^2+12x+9 = (2x+3) * (2x+3)
The above means that the area model is a square.
So, the side lengths of the model must be equal, where the side lengths are 2x + 3 and the area of the square is 4x^2+12x+9
See attachment for the area model of the equation 4x^2+12x+9 = (2x+3)^2
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Answer:
Consistent and dependent
Step-by-step explanation:
Given
Required
The words that describe the equations
Make y the subject in (2)
Collect like terms
Divide through by 2
Substitute: in (1)
Collect like terms
Solve for x
Simplify
Substitute in
So, we have:
and
<em>The system is consistent because it has at least 1 solution</em>
<em>The system is dependent because it has more than 1 solution</em>
Answer:
Hence the adjusted R-squared value for this model is 0.7205.
Step-by-step explanation:
Given n= sample size=20
Total Sum of square (SST) =1000
Model sum of square(SSR) =750
Residual Sum of Square (SSE)=250
The value of R ^2 for this model is,
R^2 = \frac{SSR}{SST}
R^2 = 750/1000 =0.75
Adjusted :
Where k= number of regressors in the model.