Questions in mathematics

Questions in mathematics

📝 Answered - Solve the following inequality: 7x + 9 + 4x + 18 >= -15 A. x >= -4 B. x < -2 C. x > 0 D. x < 10

📝 Answered - Given $f(x)=3 x+1, g(x)=-2 x^2, h(x)=\frac{1}{3} \sqrt{x}-1$, determine the value of $\frac{1}{16} f(-1)-h(81)+g(2)$

📝 Answered - $-18<2c-10<0$ $c \in$ $\square$ (Enter your answer in intervals; or enter DNE if no solution exists)

📝 Answered - Given $y =x^3$, find the approximate increase in y when x increases from 2 to 2.02 (a) 0.24 (b) 0.12 (c) 0.48 (d) 0.04

📝 Answered - Round to 2 significant figures. $8,778,000$

📝 Answered - At which root does the graph of [tex]f(x)=(x+4)^6(x+7)^5[/tex] cross the [tex]x[/tex]-axis?

📝 Answered - Example: $\checkmark$ Multiply the monomial to each term of the polynomial. $\underbrace{5 x^2}_{5 x(x+3)}=5 x^2+15 x$ $15 x$ 1) $x(x+9)$ $x^2+9 x$ 2) $2 x(x+6)$ $2 x^2+12 x$ 3) $4\left(x^2+3 x-1\right)$ $8^2+12 x-4$ 4) $-3 x(6 x+2)$ $-18 x^2-6 x$ 5) $9 x(x+3)^2$ $9 x^2+27 x$

📝 Answered - Calculate the value of $321_{\text {five }} \times 42_{\text {five }}$

📝 Answered - $\begin{aligned} (-4) & 1-\tan \theta \tan \frac{\pi}{4} \\ = & \frac{\left(-\frac{4 \sqrt{65}}{65}\right)+(1)}{1-\left(-\frac{4 \sqrt{65}}{65}\right)(1)} \end{aligned}$ Which of the following is the correct answer? A. $\frac{65+4 \sqrt{65}}{65-4 \sqrt{65}}$ B. $\frac{4-\sqrt{65}}{4+\sqrt{65}}$ C. $\frac{65-4 \sqrt{65}}{65+4 \sqrt{65}}$ D. $\frac{4+\sqrt{65}}{4-\sqrt{65}}$

📝 Answered - Solve the inequality for $x$. $5-\frac{3}{2} x \geq \frac{1}{3}$ A. $x \leq \frac{28}{9}$ B. $x \leq 7$ C. $x \geq \frac{28}{9}$ D. $x \geq 7$