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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)=-41[/tex] (c) Find [tex]x[/tex] such that [tex]g(x)=49[/tex]. [tex]x=[/tex]

[Done] Find the exact value of $\int_1^3 x^2 \ln 3 x d x$. Give your answer in the form $a \ln b+c$, where $a$ and $c$ are rational and $b$ is an integer.

[Done] Compare each pair of numbers using the symbol = (equals), < (less than), or > (greater than). $0.08 \bigcirc \frac{8}{100}

[Done] [Clean the question above and then proceed with classification] $\int_{-8}^2 16-6 y-y^2$

[Done] Solve the equation using square roots. Select the solution(s). 4x^2 - 871 = 29 x = -18 x = -16 x = -14 x = -12 x = -8 x = -6 x^2 = -4 x = -2 x = 0 x = 4 x = 6 x = 5 x = 10 x = 2 no real solution x = 12 x = 14 x = 16 x = 18

[Done] 18% of 256 + 85% of 290 - 15% of 385 =

[Done] Find the length of side c. Given: a = 16 b = 30 Angle C = 30° Law of Cosines: c² = a² + b² - 2ab * cos(C) Round your final answer to the nearest tenth.

[Done] (14) In a school, [tex]$\frac{3}{5}$[/tex] of the staff read Daily Times and [tex]$\frac{1}{2}$[/tex] read Tribune and [tex]$\frac{1}{10}$[/tex] read neither. What fraction of the staff read both types of papers?

[Done] Factor [tex]25 x^2-64[/tex]. [tex](5 x+8)(5 x-8)[/tex] [tex](-5 x+8)(5 x-8)[/tex] [tex](5 x+8)(-5 x-8)[/tex] [tex](5 x-8)^2[/tex]

[Done] What is the equation of the line with an $x$-intercept of -2 and a $y$-intercept of 1? A. $y=\frac{1}{2} x+1$ B. $y=2 x+1$ C. $y=-\frac{1}{2} x+1$