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Questions in Grade High-school

📝 Answered - There are rational numbers [tex]$\frac{5}{7}$[/tex] and [tex]$\frac{6}{7}$[/tex]

📝 Answered - Substitute the value of $x$ back into the equation $\frac{3}{4} x+3 -2 x=-\frac{1}{4}+\frac{1}{2} x+5$ to justify the solution. What value of $x$ is the solution? $x=\square$

📝 Answered - What are the coordinates of the vertex of the parabola described by the equation below? [tex]$y=-7(x-4)^2-5$[/tex] A. (-5,-4) B. (5,4) C. (4,-5) D. (-4,5)

📝 Answered - Given that $u=3-2 x^2$, which integral is equivalent to $\int_{-1}^0 x^3 \sqrt{3-2 x^2} d x $? a $\quad \int_{-1}^0(3-u) \sqrt{u} d u$ b $\frac{1}{8} \int_1^3(3-u) \sqrt{u} d u$ c $\frac{1}{4} \int_{-1}^0(3-u) \sqrt{u} d u$ d $\frac{1}{2} \int_1^3(3-u) \sqrt{u} d u$ e $-\frac{1}{8} \int_1^3(3-u) \sqrt{u} d u$

📝 Answered - Which equation represents a line that passes through ($4, \frac{1}{3}$) and has a slope of $\frac{3}{4}$? A. $y-\frac{3}{4}=\frac{1}{3}(x-4)$ B. $y-\frac{2}{3}=\frac{3}{4}(x-4)$ C. $y-\frac{1}{3}=4\left(x-\frac{3}{4}\right)$ D. $y-4=\frac{3}{4}\left(x-\frac{1}{3}\right)$

📝 Answered - Tick the best answer. 1. Which is the correct statement? Farabi was a. standing up. b. looking down. c. looking happy. 2. Why was Farabi with his head down? Because a. he was unhappy. b. it was his habit. c. he had a headache.

📝 Answered - Expand $\left(x-\frac{1}{3} y+\frac{1}{5} z\right)^2$

📝 Answered - If $y=12x-7$ were changed to $y=12x+1$, how would the graph of the new function compare with the original? A. It would be shifted down. B. It would be less steep. C. It would be shifted up. D. It would be steeper.

📝 Answered - Find the focus and directrix of the following parabola: $(y-6)^2=12(x-2)$ Focus: ([ ? ], $\square$ ) Directrix: $x=$ $\square$

📝 Answered - The equation of a circle centered at the origin is $x^2+y^2=64$. What is the radius of the circle? A. 32 B. 8 C. 4 D. 64