So we can use the formula 2lw +2wh+ 2lh, which is the surface area formula and we can set that to equal 20. 2lw +2wh+ 2lh=20
lw+wh+lh= 10
Let’s isolate L
Lw+Lh=10-wh
Let’s distribute L
L(w+h)=10-wh
L=(10-wh)/(w+h)
You can use this formula to plug in values for w and h and it will work as long as their products are less than 10
Answer:
They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.
Giving the table below which shows <span>the percent increase of donations made on behalf of a non-profit organization for the period of 1984 to 2003.
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Year: 1984 1989 1993 1997 2001 2003
Percent: 7.8 16.3 26.2 38.9 49.2 62.1
The scatter plot of the data is attached with the x-axis representing the number of years after 1980 and the y-axis representing the percent increase <span>of donations made on behalf of a non-profit organization.
To find the equation for the line of regression where </span><span>the x-axis representing the number of years after 1980 and the y-axis representing the percent increase of donations made on behalf of a non-profit organization.
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Recall that the equation of the regression line is given by
where
and
Thus, the equation of the regresson line is given by
The graph of the regression line is attached.
Using the equation, we can predict the percent donated in the year 2015. Recall that 2015 is 35 years after 1980. Thus x = 35.
The percent donated in the year 2015 is given by
Therefore, the percent donated in the year 2015 is predicted to be 90.5