Questions in mathematics

Questions in mathematics

📝 Answered - What is the solution to $4^{\log _4(x+8)}=4^2$? A. $x=-8$ B. $x=-4$ C. $x=4$ D. $x=8$

📝 Answered - Find the equation of the line perpendicular to [tex]y=-\frac{1}{2} x-5[/tex] that passes through the point (2,7). Write this line in slope-intercept form. [tex]y=[/tex]

📝 Answered - [tex]\frac{6}{7} \times \frac{1}{2}=?[/tex]

📝 Answered - The coordinates of line [tex]AB[/tex] are [tex]A(3,6)[/tex] and [tex]B(1,1)[/tex]. Determine the slope of a line perpendicular to line AB. Without drawing, determine whether each of the following pairs of lines are perpendicular or not. (a) [tex]y=-3 x+4[/tex] and [tex]y=\frac{1}{3} x+12[/tex] (b) [tex]y=\frac{3}{5} x+3[/tex] and [tex]y=5 x-12[/tex] (c) [tex]y=\frac{1}{7} x-9[/tex] and [tex]y=-\frac{1}{7} x+11[/tex] Chebet drew line NM with coordinates N(3,5) and M(1,-1). Magero drew line [tex]CD[/tex] with coordinates [tex]C(3,6)[/tex] and [tex]D(4,3)[/tex]. Determine whether line NM is perpendicular to line [tex]CD[/tex] or not. Extended activity: The equation of a straight line is [tex]3 y-6 x+4=0[/tex]. Determine the equation through point [tex](1,2)[/tex] and perpendicular to the given line.

📝 Answered - Which of the following statements are true? Check all that apply. A. The function [tex]f(x)=\frac{1}{2} \sqrt[3]{x}[/tex] has the same domain as [tex]f(x)=\sqrt[3]{x}[/tex], but its range is 1/2 as large. B. The function [tex]f(x)=\frac{13}{2}^x[/tex] has the same domain and range as [tex]f(x)=\sqrt[3]{x}[/tex] C. The graph of [tex]f(x)=\frac{1}{2} \sqrt{x}[/tex] looks like the graph of [tex]f(x)=\sqrt[3]{x}[/tex]. D. The graph of [tex]f(x)=\frac{1}{2} \sqrt[3]{(x-2)}[/tex] looks like the graph of [tex]f(x)=\sqrt[3]{x}[/tex], except it is shifted right and shrunk vertically by a factor of 1/2.

📝 Answered - Which of the following is the inverse of $y=3^x$? A. $y=\frac{1}{3^x}$ B. $y=\log _3 x$ C. $y=\left(\frac{1}{3}\right)^x$ D. $y=\log _{\frac{1}{3}} x$

📝 Answered - What is the effect of changing the base from 2 to 3 in the function [tex]f(x)=2^x[/tex] to [tex]f(x)=3^x[/tex]? Choose the correct answer from the choices. A. There is no change in the rate. B. It decreases the growth rate. C. It turns the function into a decay. D. It increases the growth rate.

📝 Answered - Does the following table represent a probability distribution? | Category | Probability | | -------- | ----------- | | Main Dish | 0.421 | | Appetizer | 0.210 | | Dessert | 0.103 | | Salad | 0.173 | | Vegetable | 0.093 | A. No B. Yes C. Can't be determined with the given information

📝 Answered - What is the following product? $(\sqrt{12}+\sqrt{6})(\sqrt{6}-\sqrt{10})$

📝 Answered - 6. To distinguish between a Relation and a Function. 7. To verify the relation between the degree measure and the radian measure of an angle. 8. To find the values of sine and cosine functions in second, third and fourth quadrants using their given values in first quadrant.