Graph the solution set of the following equation on the number line.
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Find the volume of the solid generated by revolving the region about the given axis. Use the shell or washer method.The region bounded by y = 8, y = 8, and x = 0 about the y-axis
A. ?
B. ?
C. ?
D. ?
For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x).f(x) =
A. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except 2
(iii) Vertical asymptote: x = 2; horizontal asymptote: y = -3
(iv)
B. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except -2
(iii) Vertical asymptote: x = -2; horizontal asymptote: y = -3
(iv)
C. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except -2
(iii) Vertical asymptote: x = -2; horizontal asymptote: y = 3
(iv)
D. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except 2
(iii) Vertical asymptote: x = 2; horizontal asymptote: y = 3
(iv)
Solve the problem.The amount of simple interest earned on an investment over a fixed amount of time is jointly proportional to the principle invested and the interest rate. A principle investment of $2600.00 with an interest rate of 8% earned $832.00 in simple interest. Find the amount of simple interest earned if the principle is $4200.00 and the interest rate is 7%.
A. $1344.00 B. $728.00 C. $1176.00 D. $117,600.00
Solve. Write the answer as a mixed number as needed.Fahrenheit temperatures can be obtained from Celsius (centigrade) by multiplying by 1 and adding 32°. What Fahrenheit temperature corresponds to a Celsius temperature of 21°?
A. 95 °F
B. 48 °F
C. 69 °F
D. 53 °F