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Questions in mathematics

[Jawaban] There were 200 pieces of chocolates. 125 pieces are already eaten. How many chocolates are left?

[Jawaban] Consider the function [tex]f(x)=x^2+12 x+11[/tex]. [tex]x[/tex]-intercepts: [tex] \begin{array}{l} 0 = x ^2+ 1 2 x+11 \\ 0=(x+1)(x+11) \end{array} [/tex] [tex]y[/tex]-intercept: [tex]f(0)=(0)^2+12(0)+11[/tex] What are the intercepts of the function? The [tex]x[/tex]-intercepts are $\square$ The [tex]y[/tex]-intercept is $\square$

[Jawaban] Tanisha is graphing the function [tex]$f(x)=25\left(\frac{3}{5}\right)^x$[/tex]. She begins by plotting the point [tex]$(1,15)$[/tex]. Which could be the next point she plots on the graph? [tex]$(2,9)$[/tex] [tex]$(2,-10)$[/tex] [tex]$\left(2,14 \frac{2}{5}\right)$[/tex] [tex]$(2,5)$[/tex]

[Jawaban] Writing a quadratic function that represents a parabola that touches but does not cross the $x$-axis at $x=-6$. Which function could Heather be writing? A. $f(x)=x^2+36 x+12$ B. $f(x)=x^2-36 x-12$ C. $f(x)=-x^2+12 x+36$ D. $f(x)=-x^2-12 x-36$

[Jawaban] If the set $U=\{$ all positive integers $\}$ and set $A=\{x \mid x \in U$ and $x$ is an odd positive integer $\}$, which describes the complement of set $A, A^c$ ? A. $A^c=\{x \mid x \in U$ and is a negative integer $\}$ B. $A^c=\{x \mid x \in U$ and is zero $\}$ C. $A^c=\{x \mid x \in U$ and is not an integer $\}$ D. $A^c=\{x \mid x \in U$ and is an even positive integer $\}$

[Jawaban] Factor $8 r^3-64 r^2+r-8$

[Jawaban] Where does the graph of [tex]f(x)=-3 \sqrt{-2 x-3}[/tex] start? A. [tex]\left(-\frac{3}{2}, 0\right)[/tex] B. [tex]\left(\frac{3}{2},-3\right)[/tex] C. [tex]\left(\frac{3}{2}, 3\right)[/tex] D. [tex]\left(-\frac{3}{2}, 3\right)[/tex]

[Jawaban] Examine the power. ${ }^4$ 1. Identify the base: 5 2. Determine the exponent: 4 3. Write in expanded form: $5 \cdot 5 \cdot 5 \cdot 5$ What is the value of the power?

[Jawaban] If $f(x)=-2\lceil x\rceil+8$, what is $f(-1.8)?$

[Jawaban] If the scale factor between two circles is [tex]$\frac{2 x}{5 y}$[/tex], what is the ratio of their areas? [tex]$\frac{2 x}{5 y}$[/tex] [tex]$\frac{2 x^2}{5 y^2}$[/tex] [tex]$\frac{4 x^2 \pi}{25 y^2}$[/tex] [tex]$\frac{4 x^2}{25 y^2}$[/tex]