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Questions in mathematics

[Done] Choose the correct answer. Which table represents the equation [tex]y=-2 x+17[/tex]? A. | x | y | | --- | --- | | 8 | 13 | | 10 | 12 | | 12 | 11 | | 14 | 10 | | 16 | 9 | B. | x | y | | --- | --- | | 2 | 18 | | 4 | 19 | | 6 | 20 | | 8 | 21 | | 10 | 22 | C. | x | y | | --- | --- | | 2 | 21 | | 4 | 25 | | 6 | 29 | | 8 | 33 | | 10 | 37 | D. | x | y | | --- | --- | | 8 | 1 | | 9 | -1 | | 10 | -3 | | 11 | -5 | | 12 | -7 |

[Done] Find the slope of the line passing through the points given in the table. | x | y | | --- | ----- | | 4 | 3 | | 9 | -9.5 | | 14 | -22 | | 19 | -34.5 |

[Done] Multiply the expressions. [tex]\frac{3 x^2+2 x-21}{-2 x^2-2 x+12} \cdot \frac{2 x^2+25 x+63}{6 x^2+7 x-49}[/tex] If [tex]$a=1$[/tex], find the values of [tex]$b, c$[/tex], and [tex]$d$[/tex] that make the given expression equivalent to the expression below. [tex]\frac{a x+b}{c x+d}[/tex] [tex]$b=\square, c=\square, \text { and } d=\square$[/tex]

[Done] What is the slope of a line that is perpendicular to the line [tex]$2 y-3 x=8$[/tex]?

[Done] In radian measure, the angles of a 45-45-90 triangle are: A. $\frac{\pi}{8}, \frac{\pi}{8}, \frac{\pi}{2}$ B. $\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2}$ C. $\frac{\pi}{3}, \frac{\pi}{3}, \frac{\pi}{2}$ D. $\frac{\pi}{6}, \frac{\pi}{6}, \frac{\pi}{2}$

[Done] Given the data set of $X = \{3, 5, 5, 6, 9, 11\}$, find the IQR.

[Done] Select the correct choice that completes the sentence below. The expression $\frac{f(x+h)-f(x)}{h}$ is called the $\square$ of f. A. correspondence B. image C. radicand D. difference quotient

[Done] 13. Find the domain of [tex]f(x)=\sqrt{4-x^2}[/tex]. A. (-2,2) B. [-2,2] C. (-2,2) D. [-2,2] 14. Find the domain of [tex]f(x)=\frac{5}{x^2-9}[/tex]. A. [tex]R \{9\}[/tex] B. [tex]R \{-3,3\}[/tex] C. [tex]R \{3\}[/tex] D. [tex]R \{-9\}[/tex] 15. The domain of [tex]f(x)=x^2 \ln x[/tex] is A. [tex](-\infty, \infty)[/tex] B. [tex](1, \infty)[/tex] C. [tex](0,1)[/tex] D. [tex](0, x)[/tex]. 16. Find the domain of [tex]\sqrt{4-7 t}[/tex]. A. [tex][0, \infty)[/tex] B. [tex]\frac{7}{4}[/tex] C. [tex](-\infty, \frac{7}{4}][/tex] D. [tex](\frac{7}{4}, \infty)[/tex]. 17. Let [tex]f: R \rightarrow R[/tex] be defined by [tex]f(x)=\frac{5}{x^2-1}[/tex]. Find the domain of [tex]f[/tex]. A. [tex]R \{4\}[/tex] B. [tex]R \{2\}[/tex] C. [tex]R \{-4\}[/tex] D. [tex]R \{-2,2\}[/tex]. 18. Find the inverse [tex]g^{-1}(x)[/tex] of [tex]g(x)=\sqrt{x-3}[/tex] A. [tex](x-3)^2[/tex] B. [tex]x^2+3[/tex] C. [tex]x^2-3[/tex] D. [tex]\frac{1}{x-3}[/tex].

[Done] Find the solution of the given equations using the trial and error method. (i) 2x + 10 = 18 (ii) 2y - 1 = 7 (iii) 3x + 4 = 28 (iv) 4t - 2 = 8 (v) 3 - 2y = -3

[Done] Draw a linear graph for the following data: x: 2, 3, 6, 8 y: 12, 18, 36, 48