Questions in mathematics

Questions in mathematics

📝 Answered - Change 1.4 to a fraction.

📝 Answered - A line that passes through the points $(-4,10)$ and $(-1,5)$ can be represented by the equation $y=-\frac{5}{3}(x-2)$. Which equations also represent this line? Select three options. $y=-\frac{5}{3} x-2$ $y=-\frac{5}{3} x+\frac{10}{3}$ $3 y=-5 x+10$ $3 x+15 y=30$ $5 x+3 y=10$

📝 Answered - Savanah solved the equation [tex]$3+4\left|\frac{x}{2}+3\right|=11$[/tex] for one solution. Her work is shown below: 1. [tex]$4\left|\frac{x}{2}+3\right|=8$[/tex] 2. [tex]$\left|\frac{x}{2}+3\right|=2$[/tex] 3. [tex]$\frac{x}{2}+3=2$[/tex] 4. [tex]$\frac{x}{2}=-1$[/tex] 5. [tex]$x=-2$[/tex] What is the other solution to the given absolute value equation? [tex]$x=$[/tex]

📝 Answered - Divide the following polynomials. Then place the answer. Do not include parentheses in your answer. [tex]$\left(2 a^2+a+3\right) \div(a-1)$[/tex]

📝 Answered - Factor completely $5 x^2+20 x$. A. Prime B. $5(x^2+4 x)$ C. $x(5 x+20)$ D. $5 x(x+4)$

📝 Answered - The height, [tex]$h$[/tex], of a falling object [tex]$t$[/tex] seconds after it is dropped from a platform 300 feet above the ground is modeled by the function [tex]$h(t)=300-16 t^2$[/tex]. Which expression could be used to determine the average rate at which the object falls during the first 3 seconds of its fall? A. [tex]$h(3)-h(0)$[/tex] B. [tex]$A(\frac{3}{3})-A(\frac{0}{3})$[/tex] C. [tex]$\frac{h(3)}{3}$[/tex] D. [tex]$\frac{h(3)-h(0)}{3}$[/tex]

📝 Answered - Select the best answer for the question. Solve for [tex]$x$[/tex] in the equation [tex]$6 x=42$[/tex]. A. [tex]$x=36$[/tex] B. [tex]$x=6$[/tex] C. [tex]$x=7$[/tex] D. [tex]$x=48$[/tex]

📝 Answered - Recall that $|x-1|<5$ can be written as $-5

📝 Answered - Solve the equation [tex]$x ^2- 4 x + 6 = 0$[/tex] by completing the square

📝 Answered - If [tex]p(t)=\int_0^{t^4} \sqrt{14+w^6} dw[/tex] then [tex]p^{\prime}(t)=[/tex] ?