Questions in mathematics

Questions in mathematics

📝 Answered - 24. If [tex]a: b=3: 5[/tex] and [tex]a: c=5: 7[/tex], what is the value of [tex]b: c[/tex]? a) 20 b) 24 c) [tex]21: 25[/tex] a) [tex]3: 7[/tex] b) [tex]5: 7[/tex] What is its diameter?

📝 Answered - Find from first principle, the derivative of $2 x^2-x$ with respect to $x$.

📝 Answered - a. A tray of eggs contains 16 large sized eggs and 14 small sized egg. An egg is selected at random. Find the probability of selecting either a small sized or large-sized egg. b. If [tex]$T^2=4 \pi^2 \frac{\left(h^2+k^2\right)}{h g}$[/tex] make 'k' the subject of the formula.

📝 Answered - Make $x$ the subject of $9x = u$

📝 Answered - Which step could be used to help isolate the variable in the following equation? [tex]5.6 j-0.12=4+1.1 j[/tex] A. Subtract 0.12 from both sides. B. Subtract 5.6 from both sides. C. Subtract [tex]4 j[/tex] from both sides. D. Subtract [tex]1.1 j[/tex] from both sides.

📝 Answered - Using the substitution method, what is the solution to the following system of equations? [tex]2 x-4 y=10 ; 2 y=x-5[/tex]

📝 Answered - Write the phrase "the product of 19 and a number" as a mathematical expression. A) $19 x$ B) $19 / x$ C) $19-x$ D) $19+x$

📝 Answered - Which line is perpendicular to a line that has a slope of $-\frac{5}{6}$? A. line JK B. line LM C. line NO D. line $P Q$

📝 Answered - Solution of $(4 x-16)^{\frac{1}{2}}=36 ? x=5 x=13 x=20 x=328

📝 Answered - Select ALL the correct answers. Select all the statements that are true for the following systems of equations. System A: [tex]2 x-3 y=4[/tex], [tex]4 x-y=18[/tex] System B: [tex]3 x-4 y=5[/tex], [tex]y=5 x+3[/tex] System C: [tex]2 x-3 y=4[/tex], [tex]12 x-3 y=54[/tex] A. Systems A and C have the same solution. B. Systems A and B have different solutions. C. System C simplifies to [tex]2 x-3 y=4[/tex] and [tex]4 x-y=18[/tex] by dividing the second equation by three. D. All three systems have different solutions. E. Systems B and C have the same solution.