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Questions in mathematics

📝 Answered - Select the correct answer. Amy types at an average speed of 38 words per minute. She has already typed 1,450 words of her final paper, which will be more than 4,000 words. Which inequality can be used to solve for $x$, the number of minutes it will take Amy to finish typing her paper? A. $38 x-1,450>76$ B. $38(x+1,450)>4,000$ C. $38 x>4,000$ D. $38 x+1,450>4,000

📝 Answered - What is the equation of a line through (-1, 4) and (-2, 7)?

📝 Answered - Solve. [tex]\frac{2}{x}=\frac{6}{2-x}[/tex]

📝 Answered - Rewrite as the square of a value: Example: [tex]$0.81 \rightarrow 0.9^2$[/tex] [tex]$1 \frac{24}{25}$[/tex]

📝 Answered - Solve $\left|\frac{x}{5}\right|=0$ for $x$. A. $x=1$ B. $x=-5,5$ C. $x=-\frac{1}{5}$ D. $x=0$ E. all real numbers F. no solution

📝 Answered - Solve the system by substitution. [tex]\begin{array}{l} y=4 x \\ y=-6 x-30\end{array}[/tex]

📝 Answered - Use the function below to find $f(-2)$. $f(x)=5^x$ A. $\frac{1}{25}$ B. -25 C. -10 D. $\frac{1}{10}

📝 Answered - Which function represents a vertical stretch of an exponential function? y = 2^x y = 3 \cdot 2^x y = 2^{3x}

📝 Answered - Consider the equation $2y - 4x = 12$. Which equation, when graphed with the given equation, will form a system with one solution? A. $-y - 2x = 6$ B. $-y + 2x = 12$ C. $y = 2x + 6$ D. $y = 2x + 12$

📝 Answered - A knitting pattern for a shawl calls for 8 stitches in the first row. Each row after that has 2 more stitches than the previous row. The explicit rule [tex]a_k=8+(k-1) 2[/tex] gives the number of stitches in the nth row. Which summation is equal to [tex]S_{20}[/tex], the number of stitches in the first 20 rows of the shawl? A. [tex]\sum_{k=1}^{20}(2+6 k)[/tex] B. [tex]\sum_{k=1}^{20}(2+8 k)[/tex] What is the first term of the arithmetic series? [tex]a_1=8[/tex] What is the 20th term of the arithmetic series? [tex]a_{20}=\square[/tex]