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Questions in mathematics

[Done] Work out and simplify where possible: a) $\frac{1}{5}+\frac{3}{10}$ b) $\frac{7}{8}-\frac{1}{4}$

[Done] What's the inverse of [tex]f(x)=x^2-16[/tex]? A) [tex]f^{-1}(x)= \pm \sqrt{x+16}[/tex] B) [tex]f^{-1}(x)= \pm \sqrt{x^2+16}[/tex] C) [tex]f^{-1}(x)=x-4[/tex] D) [tex]f(x)=x^2-16[/tex] and [tex]g(x)=x-4[/tex]

[Done] A. 21 B. 22 C. [tex]$15 \frac{1}{2}$[/tex] D. 15 E. None of these

[Done] Lemon candies sell at 3 for 15 cents. How much will $1 \frac{1}{2}$ dozen cost?

[Done] Write the linear equation $4y = 7x - 10$ in standard form.

[Done] Write in simplified radical form with at most one radical. [tex]$\sqrt[4]{32 x y^7} \sqrt{2 x^5 y}$[/tex] Assume that the variables represent positive real numbers.

[Done] Which of the following has the smallest standard deviation? $\begin{array}{l} A={2,4,6,8,10} \ B={3,5,6,7,9} \ C={4,5,6,7,8} \ D={2,5,6,7,10} \end{array}$ A B C D

[Done] $\frac{x}{4}-\frac{5}{2 x}=\frac{1}{4 x}$

[Done] Consider the equation. [tex]$4(p x+1)=64$[/tex] The value of [tex]$x$[/tex] in terms of [tex]$p$[/tex] is [ ]. The value of [tex]$x$[/tex] when [tex]$p$[/tex] is -5 is [ ].

[Done] p(x) = (3x² - 5)(x + k) - 20 In the polynomial p(x) defined above, k is a constant. If x is a factor of p(x), what is the value of k? A. -6 B. -4 C. 2 D. The graph opens downward and has two positive x-intercepts.