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Questions in mathematics
[Answered] Use the quadratic formula to complete the table. To verify your solutions, graph the equations. | Equation | | Value of Discriminant | Solution Value(s) | | :---------------- | :-: | :-------------------- | :---------------- | | [tex]$3x^2 + 4x + 4 = 0$[/tex] | | | | | 42 + [tex]$2+1+0$[/tex] | | | |
[Answered] How many thirds are there in $2 \frac{4}{12}$?
[Answered] Calculate the following: 1. 100 x 18 2. 700 x 17 3. [tex]\(\frac{4}{6} + \frac{3}{8} + \frac{4}{6} + \frac{2}{3}\)[/tex]
[Answered] The mother's age is 4 times her daughter's age. Four years hence, the age of the mother will be one year more than three times her daughter's age. The present ages in years of daughter and mother are, respectively?
[Answered] A sailboat is approaching a cliff. The angle of elevation from the sailboat to the top of the cliff is 35 degrees. The height of the cliff is known to be about 2000 m. How far is the sailboat away from the base of the cliff? Round your answer to 1 decimal place.
[Answered] Solve the equation using the quadratic formula. [tex]x^2+13 x+7=0[/tex] The solution set is { }. (Simplify your answer. Type an exact answer, using radicals and [tex]i[/tex] as needed. Use integers or fractions for any numbers in the expression.)
[Answered] Calculate the total cost for attending a conference if registration is $400, and the employee needs hotel, rental car, per diem, parking, and coverage for 4 days. | Expense | Cost per day | | :---------- | :----------- | | Hotel | $230 | | Rental Car | $110 | | Per Diem | $55 | | Parking | $40 | | Coverage | $400 |
[Answered] Denis wants to start a cake project. He wants to make lots of them and make a profit. His costs are going to be 60000sh for the oven, marketing, and other costs. The total cost of all expenses on each cake made is 500 & p, where p is the number of cakes made. Task: Help Denis find the minimum number of cakes he should make and the selling price for each cake such that he does not make a loss.
[Answered] For [tex]f(x)=4 x+1[/tex] and [tex]g(x)=x^2-5[/tex], find [tex]\left(\frac{f}{g}\right)(x)[/tex] A. [tex]\frac{4 x+1}{x^2-5}[/tex] B. [tex]\frac{x^2-5}{4 x+1}[/tex] C. [tex]\frac{x^2-5}{4 x+1}, x \neq-\frac{1}{4}[/tex] D. [tex]\frac{4 x+1}{x^2-5}, x \neq \pm \sqrt{5}[/tex]
[Answered] When $1,250^{\frac{3}{4}}$ is written in its simplest radical form, which value remains under the radical? A. 2 B. 5 C. 6 D. 8
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