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Questions in mathematics

[Done] Use the drawing tool(s) to form the correct answer on the number line. Graph the solution to this inequality on the number line: $-4x + 7 > x - 13$

[Done] A flagpole 6.3 m long is driven 1.4 m into the ground. What fraction of the pole is above the ground?

[Done] Write the expression as an exponent with a base 2 and find its value: [tex]$8 \cdot 2^7$[/tex]

[Done] Factor $x^4+3 x^2-28$

[Done] $(630)_{10} = (\space\space\space\space)_2

[Done] Simplify the expression: [tex]0.2 a^2 b^3 \cdot\left(-5 a^3 b\right)^2[/tex]

[Done] Consider the function. [tex]f(x)=x^2+3[/tex] Which answer pairs a possible domain restriction that if placed upon [tex]f(x)[/tex] would impact [tex]f^{-1}(x)[/tex] as shown? A. [tex]f(x)[/tex] domain: [tex]x \geq 3[/tex] [tex]f^{-1}(x)[/tex] domain: [tex]x \geq 3[/tex] B. [tex]f(x)[/tex] domain: [tex]x \geq 3[/tex] [tex]f^{-1}(x)[/tex] range: [tex]y \geq 3[/tex] C. [tex]f(x)[/tex] domain: [tex]x \geq 0[/tex] [tex]f^{-1}(x)[/tex] domain: [tex]x \geq 0[/tex] D. [tex]f(x)[/tex] domain: [tex]x \geq 0[/tex] [tex]f^{-1}(x)[/tex] range: [tex]y \geq 0[/tex]

[Done] Given the functions [tex]f(x)=-3 x+8[/tex] and [tex]g(x)=2 x+5[/tex], which operation, [tex]f+g[/tex], [tex]f-g[/tex], or [tex]f \cdot g[/tex], results in the smallest coefficient on the x term? A. [tex]f \cdot g[/tex] B. All operations result in the same coefficient C. [tex]f-g[/tex] D. [tex]f+g[/tex]

[Done] Watch this animation to see the answer. Why does the elimination method work? The next step in solving the system is to add the equations together. $\begin{array}{r} 12 x+3 y=14 \\ +6 x-3 y=69 \\ \hline \end{array}$ This works because of the A. multiplication property of equality B. commutative property C. addition property of equality D. zero identity

[Done] Which graph represents a line with a slope of $-\frac{2}{3}$ and a $y$-intercept equal to that of the line $y=\frac{2}{3} x-2$?