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Quadratic Equation
1. Find the value of k for which the equation has real and equal roots (k+4)x² + (k+1)x + 1 = 0
2. If -5 is a root of the quadratic equation 2x²+px-15=0 and the quadratic equation p(x²+x) + k = 0 has equal roots, find the value of k?
3. If the roots of the equation (b-c)x² + (c-a)x +(a-b) = 0 are real and equal then prove that 2b= a+c
4. If equation (1+m²)x² + 2mcx + (c²-a²) = 0 has equal roots, prove that c² = a²(1+m²)
5. Find the values of k for which the quadratic equation x²-kx+9 = 0 has real and distinct roots.
If the escalator had been stopped, how many steps did the escalator have from the bottom to the top?
of 84 adults selected randomly from one town 62 have health insurance. find a 90 confidence interval for the true
Associative Property of Multiplication
what does the shadow price reflect in a maximization problem? explain. how do the graphical and computer-based methods
the i-75 carpet discount store has an annual demand of 10000 yards of super shag carpet. the annual carrying cost for a
a carpenter is building a rectangular room with a fixed perimeter of 104 ft. what dimensions would yield the maximum area? what is the maximum area?
volume of wood in a tree trunk varies jointly as the height and girth. if the volume is 53m^3, when the height is 20m and the girth is 1.5m, what is the volume when the height is 76m and the girth is 2m?
the nelson company has 1312500 in current assets and 525000 in current liablities. its initial inventory level is
A building 190 feet tall casts a 60 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (A..
1) A Batch of 40 good workpieces is to be produced using a sand casting process with a starting material thatcosts $40 a piece. The time it takes to fill the mold is 10 seconds, while the solidification time is 1minute. The casting is removed from th..
Determine how much they must invest today at 10.4% compunded at semiannually to accomplish their goal.
A postal service will accept packages only if the length plus girth is no more than 114 inches. Assuming that the front face of the package is square, what is the largest volume package that the postal service will accept?
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