Questions in mathematics

Questions in mathematics

[Free] How many solutions does this equation have? [tex]$-3(j+5)=-15-3 j$[/tex]

[Free] Match each inequality to its solution. Drag the tiles to the correct boxes. Not all tiles will be used. Tiles $\begin{array}{lllllll} x>3 & x<3 & x>-2 & x<-2 & x<2 & x>2 & x<-3 \end{array} \quad x>-3$ Pairs $\begin{array}{l} 2(5)^z>250 \quad \longrightarrow \\ 4\left(\frac{1}{3}\right)^x<36 \quad \longrightarrow \\ 10\left(\frac{1}{2}\right)^x>80 \quad \longrightarrow \\ \left(\frac{1}{2}\right)(6)^x<18 \quad \longrightarrow \end{array}$

[Free] If x ≠ 0, what is the sum of 4∛x^10 +5x^3∛8x in simplest form?

[Free] Harriet earns the same amount of money each day. Her gross pay at the end of 7 workdays is $35h+56$ dollars. Which expression represents her gross pay each day? A. $5h+8$ B. $8h+5$ C. $7h+11.2$ D. $11.2h+7$

[Free] Which expression is equivalent to $\frac{\sqrt{2}}{\sqrt[3]{2}}$ ? A. $\frac{1}{4}$ B. $\sqrt[6]{2}$ C. $\sqrt{2}$ D. $\frac{\sqrt{2}}{2}$

[Free] From the equation, find the axis of symmetry of the parabola. [tex]y=4 x^2+32 x+61[/tex] A. [tex]x=3[/tex] B. [tex]x=4[/tex] C. [tex]x=-4[/tex] D. [tex]x=-3[/tex]

[Free] Which statement is true about the discontinuities of the function [tex]f(x)[/tex]? [tex]f(x)=\frac{x^2-4}{x^3-x^2-2 x}[/tex] A. There is a hole at [tex]x=2[/tex]. B. There are asymptotes at [tex]x=0[/tex] and [tex]x=-1[/tex]. C. There are asymptotes at [tex]x=0[/tex] and [tex]x=-1[/tex] and a hole at [tex](2, \frac{2}{3})[/tex]. D. There are holes at [tex]x=0[/tex] and [tex]x=-1[/tex] and an asymptote at [tex]x=2[/tex].

[Free] Assertion (A): Let f(x) = e^x and g(x) = log x. Then (f + g)(x) = e^x + log x. Reason (R): Dom(f + g) = Dom(f) ∩ Dom(g). Find the domain of f(x) = sin⁻¹(-x²).

[Free] Calculate the following sums of fractions: (12/7) + (4/7) + (20/7) = ? (21/13) + (14/13) + (10/13) = ? (15/11) + (10/11) + (21/11) = ? (31/17) + (41/17) + (38/17) = ?

[Free] Select the correct answer. The sum of two consecutive numbers is 157. This equation, where $n$ is the first number, represents the situation: $2n+1=157$ What is the first number? A. 77 B. 78 C. 79 D. 80