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Questions in mathematics

[Done] Which of the following is an advantage of buying a home? A. You can invest in property. B. You need to pay fewer up–front costs. C. You don't need to buy insurance.

[Done] Graph $f(x)=(x+1)(x-5)$. Graph the function $f(x)=(x+1)(x-5)$. Use the drop-down menus to complete the steps needed to graph the function. 1. Identify the $x$-intercepts: $(-1,0)$ and $(3,0)$ 2. Find the midpoint between the intercepts 3. Find the vertex $\square$ 4. Find the y-intercept $\square$ 5. Plot another point, then draw the graph.

[Done] Rami is solving the equation for $x$. $\begin{array}{c} -6 x-1=5 \\ -6 x-1 \square 1=(5 \square 1) \\ -6 x=6 \\ -6 x \bigcirc-6=6 \bigcirc-6 \\ x=-1 \end{array}$ Which operation symbols should Rami write in the $\square$ and the $\bigcirc$? A. $\square$ should contain +; $\bigcirc$ should contain $\times$ B. $\square$ should contain $\div$; $\bigcirc$ should contain $\div$ C. $\square$ should contain -; $\bigcirc$ should contain $\times$ D. $\square$ should contain -; $\bigcirc$ should contain $\div$

[Done] Given $g(x)=-x+4$, solve for $x$ when $g(x)=0$.

[Done] Solve for $t$: $5t - 4 = 11$

[Done] Select the correct answer. Which of the following represents a factor from the expression given? [tex]$5\left(3 x^2+9 x\right)-14$[/tex] A. [tex]$15 x^2$[/tex] B. [tex]$45 x$[/tex] C. 5 D. 70

[Done] Form a quadratic polynomial whose sum and product of the zeroes are 3 and 2 respectively. Then find the zeroes and verify the relationship between zeroes and coefficients. Given: α + β = 3, αβ = 2 Polynomial: P(x) = x² - (α + β)x + αβ

[Done] $\begin{array}{l} 3 x-5 y=21 \\ x-4 y=3 \end{array}$

[Done] Factor [tex]6 x^2-3 x-45[/tex] A. [tex]3(2 x+3)(x-5)[/tex] B. [tex]3(2 x+5)(x-3)[/tex] C. [tex]3(2 x-5)(x+3)[/tex] D. [tex]3(2 x-3)(x-5)[/tex]

[Done] Divide using synthetic division. $(x^4+13 x^3-64 x^2-20 x+16) \div (x-4)$