Solve the problem.A car dealer advertised a big sale by stretching a string of banners from the top of the building to the edge of the driveway. If the building is 15 m high and the driveway is 39 m from the building, how long is the string of banners?
A. 36.0 m
B. 21.2 m
C. 41.8 m
D. 7.3 m
Answer: C
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Find the general solution of the equation. Express the solution explicitly as a function of the independent variable.e8ty'(t) = -9
A. y = 72e8t + C
B. y = e8t + C
C. y = e-7t + C
D. y = e-8t + C
Provide an appropriate response.Determine the x- and y-intercepts of the graph of y = x3 - 4x.
What will be an ideal response?
Factor out the GCF from the polynomial.20x8y9 - 32x6y6 - 12x3y4
A. -4x3y4(-5x5y5 - 8x3y2 + 3) B. 4x3y4(5x5y5 - 8x3y2 - 3) C. 4x3(5x5y9 - 8x3y6 - 3y4) D. 4(5x8y9 - 8x6y6 - 3x3y4)
Solve the problem.Bruce is a retired carpenter who builds patio chairs and dog houses, which he sells at his local flea market. It takes him 5 hours to build a dog house and 3 hours to build a patio chair. Bruce can work no more than 25 hours per week, and he must produce more chairs than dog houses. Write a system of inequalities to describe this situation. Use D for the number of dog houses and P for the number of patio chairs produced in a week.
A.
B.
C.
D.