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Questions in mathematics
[Done] Consider the following. [tex]g(x)=5 x+14[/tex] (a) Find [tex]g(2)[/tex]. [tex]g(2)=24[/tex] (b) Find [tex]g(-11)[/tex] [tex]g(-11)=[/tex]
[Done] Rewrite as sums or differences of logarithms. [tex]\log _d\left(x^3 y^3 z\right)[/tex]
[Done] If [tex]$f(x)$[/tex] and [tex]$f^{-1}(x)$[/tex] are inverse functions of each other and [tex]$f(x)=2 x+5$[/tex], what is [tex]$f^{-1}(8)$[/tex]?
[Done] $r^2+\frac{9}{r^2}-6$
[Done] Find the average of squares of consecutive even numbers from 1 to 25. (1) 233 (2) 234 (3) 231 (4) 232 (5) 235
[Done] 1. Number of multiples of a given number is (a) 1 (b) 0 (c) infinite (d) none of these 2. When two or more numbers are multiplied, then each number is a ____ of that product. (a) multiple (b) factor (c) dividend (d) none of these 3. When a number is divided by another number, the remainder should be zero. This is called (a) factorisation (b) multiplication (c) divisibility (d) All of these Statement A: All even numbers are divisible by 2. Statement B: Some even numbers are divisible by 3. true (a) Both A and B are true. (b) Both A and B are false. (c) A is true and B is false. (d) A is false and B is true.
[Done] Frame a word problem for each of the following: 1. 23405 + 625 2. 345962 + 447932 3. 24655 + 35967 4. 693459 + 246954 5. 435999 + 85789 6. 35652 + 23456 + 4999
[Done] For what value of a does ${ }^2=\left(\frac{1}{2 i}\right)$?
[Done] Which equations represent circles that have a diameter of 12 units and a center that lies on the $y$-axis? Select two options. $x^2+(y-3)^2=36$ $x^2+(y-5)^2=6$ $(x-4)^2+y^2=36$ $(x+6)^2+y^2=144$ $x^2+(y+8)^2=36$
[Done] Which equation is perpendicular to [tex]$y=4 x-12$[/tex]? [tex]$y=-4 x-2$[/tex] [tex]$y=\frac{1}{4} x-10$[/tex] [tex]$y=-\frac{1}{4} x+5$[/tex] [tex]$y=4 x+11$[/tex]
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