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Questions in mathematics

📝 Answered - Which point is an [tex]$x$[/tex]-intercept of the quadratic function [tex]$f(x)=(x-8)(x+9)$[/tex]? A. [tex]$(0,8)$[/tex] B. [tex]$(0,-8)$[/tex] C. [tex]$(9,0)$[/tex] D. [tex]$(-9,0)$[/tex]

📝 Answered - Interpret the function [tex]f(x)=6 \cdot 5^{-2 x}[/tex] using the properties of exponents. Drag and drop the correct words or values to complete the sentences. The expression [tex]6 \cdot 5^{-2 x}[/tex] can be rewritten as: [ ] The function [ ] by a factor of [ ] for each unit increase in [tex]x[/tex]. :: [tex]6.25^2[/tex] :: 6 :: decays :: [tex]\frac{1}{25}[/tex] :: grows :: [tex]6\left(\frac{1}{25}\right)^x[/tex]

📝 Answered - What is the following product? [tex]$\sqrt{10} \cdot \sqrt{10}$[/tex] A. 10 B. [tex]$10 \sqrt{10}$[/tex] C. 100 D. [tex]$2 \sqrt{10}$[/tex]

📝 Answered - Vector A has a magnitude of 6 meters, and Vector B has a magnitude of 4 meters. What is the angle between them if their resultant is: (a) minimum, (b) maximum, (c) 3 meters, and (d) 8 meters?

📝 Answered - Brenda spent $80 on ten fancy pens. How much did each pen cost?

📝 Answered - A given line has the equation $10 x+2 y=-2$. What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point $(0,12)$? A. $y=-5 x+12$ B. $5 x+y=12$ C. $y-12=5(x-0)$ D. $5 x+y=-1

📝 Answered - A water tank is $\frac{3}{7}$ full. After adding $\frac{7}{5}$, it is $\frac{4}{5}$ full. What is its total capacity?

📝 Answered - What is the first error she made in computing the variance? A. Emi failed to find the difference of 89-78 correctly. B. Emi divided by [tex]N-1[/tex] instead of [tex]N[/tex]. C. Emi evaluated [tex](46-78)^2[/tex] as [tex]-(32)^2[/tex]. D. Emi forgot to take the square root of -135.6.

📝 Answered - Find the solution of the system of equations: [tex] \begin{aligned} -3 x-2 y & =-6 \\ 7 x+6 y & =26 \end{aligned} [/tex]

📝 Answered - What is the probability of rolling a 4 on a standard die? $\frac{1}{2}$ $\frac{2}{3}$ $\frac{1}{6}$ $\frac{1}{4}$