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Questions in mathematics

📝 Answered - Calculate each quotient for the following division expressions: 1) 52222 ÷ 323 2) 34204 ÷ 274 3) 61304 ÷ 148 4) 75574 ÷ 586 5) 26846 ÷ 144 6) 63885 ÷ 851 7) 80658 ÷ 386 8) 57062 ÷ 351 9) 77127 ÷ 567

📝 Answered - If [tex]\frac{dy}{dx} \big|_{x=2} = 2[/tex], then [tex]f'(2) = ?[/tex] A. [tex]\lim_{h \to 0} \frac{f(h) - f(2)}{h}[/tex] B. [tex]\lim_{h \to 0} \frac{f(2) - f(h)}{h}[/tex] C. [tex]\lim_{h \to 0} \frac{f(2-h) - f(2)}{h}[/tex] D. [tex]\lim_{h \to 0} \frac{f(2+h) - f(2)}{h}[/tex]

📝 Answered - A geometry class is asked to find the equation of a line that is parallel to $y-3=-(x+1)$ and passes through (4 , 2). Trish states that the parallel line is $y-2=-1(x-4)$. Demetri states that the parallel line is $y=-x+6$. Are the students correct? Explain. A. Trish is the only student who is correct; the slope should be -1 , and the line passes through $(4,2)$. B. Demetri is the only student who is correct; the slope should be -1 , and the $y$-intercept is 6 . C. Both students are correct; the slope should be -1 , passing through $(4,2)$ with a $y$-intercept of 6 . D. Neither student is correct; the slope of the parallel line should be 1.

📝 Answered - For what value of $x$ does $3^{4 x}=27^{x-3}$?

📝 Answered - 1. If a model car is 50 times smaller than a real car, (a) 100 cm on the real car would be represented by how much on the model? (b) What length on the real car does 6 cm on the model represent? 2. Ram and his sister Kalpana win a prize of Rs 2000. They decide to share the prize in the ratio of their ages. Ram is 15 years old and Kalpana is 10 years old. How much do each of them receive? (b) Binod and his elder brother Kapil win a prize of Rs 6000. They decide to share the prize in the ratio of their ages. Binod is 28 years old and Kapil is 32 years old. How much do each of them receive?

📝 Answered - Oscar tried to solve an equation: [tex]\begin{aligned} \frac{3}{4}+m & =\frac{5}{4} \\ \frac{3}{4}+m-\frac{3}{4} & =\frac{5}{4}+\frac{3}{4} \end{aligned}[/tex]

📝 Answered - Write the equation in the standard linear equation form $(A x+B y=C)$ if possible. On the blank, write Yes if it is linear. If the answer is No, explain why. 1. $\frac{y}{3}+x=5$ Explain if No. 2. $3 x+5^y=8$ Explain if No. 3. $x+9 y^2=1$ Explain if No. 4. $1+\frac{7}{x}=y$ Explain if No. 5. $7+x=2 y$ Explain if No. Which table of values represents the equation $y=2 x+5$ ? A. | x | y | | --- | --- | | -8 | -11 | | -7 | -9 | | -6 | -7 | | -5 | -5 | | -4 | -3 | B. | x | y | | --- | --- | | -3 | -1 | | -1 | 3 | | 1 | 7 | | 3 | 11 | | 5 | 15 | C. | x | y | | --- | --- | | 0 | 9 | | 1 | 7 | | 2 | 5 | | 3 | 3 | | 4 | 1 | D. | x | y | | --- | --- | | -5 | -5 | | -4 | -3 | | -3 | -1 | | -2 | 1 | | -1 | 3 |

📝 Answered - Solve for $x$ in the equation $x^2-12 x+59=0$ A. $x=-12 \pm \sqrt{85}$ B. $x=-6 \pm \sqrt{23} i$ C. $x=6 \pm \sqrt{23} i$ D. $x=12 \pm \sqrt{85}$

📝 Answered - What are the values of $a, b$, and $c$ in the quadratic equation $-2 x^2+4 x-3=0$? A. $a=2, b=4, c=3$ B. $a=2, b=4, c=-3$ C. $a=-2, b=4, c=3$ D. $a=-2, b=4, c=-3

📝 Answered - Evaluate $(h h)\left(\frac{2}{5}\right)$ given that $h(x)=\frac{1}{5 x+1}$. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (hh) $\left(\frac{2}{5}\right)=$ $\square$ (Simplify your answer.) B. The answer is undefined.