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Questions in mathematics

[Solved] The value of $n$ is a distance of 3 units from $1 \frac{1}{2}$ on a number line. Click on the number line to show the possible values of $n$.

[Solved] How does the graph of $y=a(x-h)^2+k$ change if the value of $h$ is doubled? A. The vertex of the graph moves to a point twice as far from the $x$-axis. B. The vertex of the graph moves to a point twice as far from the $y$-axis. C. The vertex of the graph moves to a point half as far from the $x$-axis. D. The vertex of the graph moves to a point half as far from the $y$-axis.

[Solved] What is the difference of the polynomials? $\left(m^2 n^2-7\right)-(m n+4)$

[Solved] What are the two solutions of $2 x^2=-x^2-5 x-1$? A. the $x$-coordinates of the intersection points of the graphs of $y=2 x^2$ and $y=-x^2-5 x-1$ B. the $x$-coordinates of the $x$ intercepts of the graphs of $y=2 x^2$ and $y=-x^2-5 x-1$ C. the $y$-coordinates of the $y$ intercepts of the graphs of $ \begin{array}{l} y=2 x^2 \text { and } \\ y=-x^2-5 x-1 \end{array} $ D. the $y$-coordinates of the intersection points of the graphs of $y=2 x^2$ and $y=-x^2-5 x-1$

[Solved] The price that a company charged for a basketball hoop is given by the equation $50-5 x^2$ where $x$ is the number of hoops that are produced, in millions. It costs the company $30 to make each basketball hoop. The company recently reduced its production to 1 million hoops but maintained its profit of 15 million dollars. Approximately how many basketball hoops did the company previously produce to make the same profit? A. 1.3 million hoops B. 1.4 million hoops C. 1.5 million hoops D. 3.0 million hoops

[Solved] Let $u =\langle 5,-12\rangle$ and $c=-3$. What is $||cu||$?

[Solved] When you have a product or quotient raised to a power, you can apply the power rule. Complete this expression. [tex](c w)^h=[/tex] Simplify the following expression completely. [tex]\left(\frac{2}{z}\right)^5=[/tex] Simplify the following. [tex]\left(\frac{3 x^4}{7}\right)^2=[/tex] Note: We can only use the expanded power rule when there isn't any addition or subtraction. For example, you need to multiply. Simplify. [tex](3 t+5)^2 \neq(3 t)^2+5^2[/tex] Instead, [tex](3 t+5)^2=[/tex]

[Solved] What is the first step when rewriting $y=3 x^2+9 x-18$ in the form $y=a(x-h)^2+k$? A. 3 must be factored from $3 x^2+9 x$ B. $x$ must be factored from $3 x^2+9 x$ C. 9 must be factored from $9 x-18$ D. 3 must be factored from $3 x^2-18$

[Solved] Which expression is equivalent to $\left(4 x^5+11\right)^2$? A. $16 x^5+121$ B. $16 x^{10}+121$ C. $16 x^{10}+88 x^5+121$ D. $16 x^{25}+88 x^5+121$

[Solved] 3r + 6m, where m = 4, n = 1, p = 2, q = -6, r = 5, t = -2