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Questions in mathematics

[Done] $\begin{array}{l} -2 x+y=3 \\ 2 x-y=4 \end{array}$ Using elimination to solve this system results in the equation $\square$

[Done] Follow the steps of this algorithm and write the final answer in the box. Step 1: Start with the number 10. Step 2: Add 5 to the number. Step 3: Multiply the result by 2. Step 4: Subtract 8 from the result. Step 5: Write down the final number. Final Answer:

[Done] What is the radius of a circle whose equation is $x^2+y^2+8 x-6 y+21=0$?

[Done] g) $y^7-\frac{1}{y^5}$

[Done] Type the correct answer in the box. Use numerals instead of words. What is the solution of this equation? $-\frac{1}{2} n^2+18=0$ $n= \pm$

[Done] Which is the exponential form of [tex]$\log _8 x=3$[/tex]? A. [tex]$3^x=8$[/tex] B. [tex]$8^3=x$[/tex] C. [tex]$x^3=8$[/tex] D. [tex]$8^x=3$[/tex]

[Done] If the discriminant of a quadratic equation is equal to -8, which statement describes the roots? A. There are two complex roots. B. There are two real roots. C. There is one real root. D. There is one complex root.

[Done] A general formula for a parabola is [tex]$x^2=4 p y$[/tex]. What is the value of [tex]$p$[/tex] in the equation [tex]$x^2=12 y$[/tex] ? A. [tex]$p=3$[/tex] B. [tex]$p=4$[/tex] C. [tex]$p=6$[/tex] D. [tex]$p=12$[/tex]

[Done] If $f(x)=5 \sqrt{x}(x^3-3 \sqrt{x}+7)$, find $f^{\prime}(x)$. Find $f^{\prime}(1)$.

[Done] Which statement is true? The equation $-3|2 x+1.2|=-1$ has no solution. The equation $3.5|6 x-2|=3.5$ has one solution. The equation $5|-3.1 x+6.9|=-3.5$ has two solutions. The equation $-0.3|3+8 x|=0.9$ has no solution.