Questions in mathematics

Questions in mathematics

📝 Answered - What is the solution to the equation [tex]$e^{3 x}=12$[/tex]? Round your answer to the nearest hundredth. A. [tex]$x=0.83$[/tex] B. [tex]$x=1.09$[/tex] C. [tex]$x=2.48$[/tex] D. [tex]$x=7.44$[/tex]

📝 Answered - What is the next number in the sequence? $1, 8, 21, 64, 125$

📝 Answered - Which linear function represents the line given by the point-slope equation $y+7=-\frac{2}{3}(x+6)$? A. $f(x)=-\frac{2}{3} x-11$ B. $f(x)=-\frac{2}{3} x-1$ C. $f(x)=-\frac{2}{3} x+3$ D. $f(x)=-\frac{2}{3} x+13$

📝 Answered - Simplify: $8-4 x+10-6 x$ A. $7 x$ B. $5 x-4$ C. $18-19 x$ D. $18-10 x$

📝 Answered - Which equation is in standard form? a. [tex]$x+3=-5 y$[/tex] b. [tex]$5-y=x$[/tex] c. [tex]$y=3 x+6$[/tex] d. [tex]$-8 x+3 y=12$[/tex]

📝 Answered - What expression is equivalent to $(5 z^2+3 z+2)^2$? A. $5 z^4+3 z^2+4$ B. $5 z^4+9 z^2+4$ C. $25 z^4+30 z^3+19 z^2+12 z+4$ D. $25 z^4+30 z^3+29 z^2+12 z+4

📝 Answered - Determine whether the function is one-to-one. If it is, find a formula for its inverse. [tex]f(x)=x^3-6[/tex] Is the function one-to-one? Yes No

📝 Answered - If [tex]$f(x)=5 x-2$[/tex] and [tex]$g(x)=2 x+1$[/tex], find [tex]$(f+g)(x)$[/tex] A. [tex]$7 x-1$[/tex] B. [tex]$3 x-1$[/tex] C. [tex]$4 x-3$[/tex] D. [tex]$7 x-3$[/tex]

📝 Answered - What is the simplest form of [tex]$\frac{2 \sqrt{2}}{\sqrt{3}-\sqrt{2}}$[/tex] ? A. [tex]$2 \sqrt{6}+4$[/tex] B. [tex]$2 \sqrt{5}+4$[/tex] C. [tex]$\frac{2 \sqrt{6}+1}{5}$[/tex] D. [tex]$\frac{2 \sqrt{5}+4}{5}$[/tex]

📝 Answered - If P = 777, Q = 779, and R = 776, then find the value of P³ + Q³ + R³ - 3PQR. A. 16244 B. 16534 C. 16324 D. 15425