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Questions in mathematics

📝 Answered - Combine and simplify the following radical expression: [tex]$\sqrt{\frac{25}{128}}$[/tex]

📝 Answered - Write the inequality $3

📝 Answered - In a survey of some students, it is found that 35% of students like Maths, 30% like Account, 10% like none of the two subjects, and 300 students like both subjects. a) Write the cardinality of the set of students who like both Maths and Account. b) By showing the given information in a Venn diagram, find the total number of students who participate in the survey. c) Find the number of students who like Maths. d) What is the ratio of the number of students who like Account only to those who dislike both subjects? Find it.

📝 Answered - Find two different cubic polynomials whose only real zero is -7. A. [tex]$y=(x+7)^4 ; y=-(x+7)(x^2+7)$[/tex] B. [tex]$y=(x-7)^4 ; y=-(x-7)(x^2+7)$[/tex] C. [tex]$y=(x+7)^4 ; y=-(x+7)(x^2-7)$[/tex] D. [tex]$y=(x-7)^4 ; y=-(x-7)(x^2-7)$[/tex]

📝 Answered - The sum of two numbers is 98. Their difference is 22. Write a system of equations that describes this situation. Solve by elimination to find the two numbers. A. x+y=98 x-y=22 55 and 33 B. x+y=98 x-y=22 60 and 38 C. x-y=98 x+y=22 59 and 39 D. x+y=22 y-x=98 55 and 39

📝 Answered - On which triangle can the law of cosines be used to find the length of an unknown side? Law of cosines: [tex]$a^2=b^2+c^2-2 b c \cos (A)$[/tex]

📝 Answered - The cost of one liter of petrol was 1,100.00. Create a table of values to show the cost of 2, 3, 4, 5, and 6 liters of petrol. Use a scale of 2cm to 1 liter on the horizontal axis and a scale of 2cm to N1,000.00 on the vertical axis.

📝 Answered - Ramon is graphing the function [tex]$f(x)=3(4)^x$[/tex]. He begins by plotting the initial value. Which graph represents his initial step?

📝 Answered - Which equation is $y=9 x^2+9 x-1$ rewritten in vertex form? y=9\left(x+\frac{1}{2}\right)^2-\frac{13}{4} y=9\left(x+\frac{1}{2}\right)^2-1 y=9\left(x+\frac{1}{2}\right)^2+\frac{5}{4} y=9\left(x+\frac{1}{2}\right)^2-\frac{5}{4}

📝 Answered - Factor the trigonometric expression. [tex]16 \tan ^4 w-24 \tan ^2 w+9[/tex]