Can you post the picture in a different angle it’s hard to read it
Rewrite 512x^3 as (8x)^3
(8x)^3 + 2197y^3
Rewrite 2197y^3 as (13y)^3
(8x)^3 + (13y)^3
Since both terms are perfect cubes, factor using the sum of cubes formula.
a^3 + b^3 = (a + b)(a^2 - ab + b^2) where a = 8x and b = 13y.
(8x + 13y)((8x)^2 - (8x)(13y) + (13y)^2)
Simplify
(8x + 13y)(64x^2 - 104xy + 169y^2)
Answer: f(-2) = 8
Step-by-step explanation: On the graph there’s a point (-2,8), so f(-2), which just means -2’s y value on the graph, is 8.
Answer:
42.1% of variation in the response is explained by the regression line
Step-by-step explanation:
Correlation coefficient is a measure which tells us that how strongly are two variables under study are linearly related to each other i.e correlation coefficient gives the strength of linear association between the variables.
If the magnitude of correlation coefficient is closer to 1, it indicates a strong linear relationship. If the magnitude of correlation coefficient is closer to 0, it indicates a weak linear relationship.
There is another variable known as "Coefficient of Determination", which is equal to square of Correlation Coefficient. Coefficient of Determination tells us that what percentage of variation in the response of the study can be explained by the regression line.
This means, for this question we need to calculate the Coefficient of Determination.
Correlation coefficient = r = 0.649
Coefficient of Determination = R = r² = (0.649)²= 0.421 = 42.1 %
This means that 42.1% of variation in the response is explained by the regression line.
