The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches = ____________ in2
2 answers:
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Answer:
Step-by-step explanation:
Given :
Solution :
Part A:
First find the potential roots of p(x) using rational root theorem;
So,
Since constant term = -60
Leading coefficient = 1
Thus the possible roots are
Thus from the given options the correct answers are -10,-5,3,15
Now For Part B we will use synthetic division
Out of the possible roots we will use the root which gives remainder 0 in synthetic division :
Since we can see in the figure With -5 we are getting 0 remainder.
Refer the attached figure
We have completed the table and have obtained the following resulting coefficients: 1 , 1,−12,0. All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.
Thus the quotient is
And remainder is 0 .
So to get the other two factors of the given polynomial we will solve the quotient by middle term splitting
Thus x-3 and x+4 are the other two factors
So , p(x)=(x+5)(x-3)(x+4)
<u>Answer-</u>
<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>
<u>Solution-</u>
The independent variable / input variable= x = Number of years after 2000 ( = year-2000)
The dependent variable / output variable = y = Average cost in thousands of dollars
(The table has been attached herewith.)
To find the regression equation for a group of (x,y) points,
We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)
We know that,
Putting the values from the table,
( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )
Now, for the y-intercept,
Putting the values,
Now, putting the values of c and m, in the Slope-Intercept formula,
