Questions in mathematics

Questions in mathematics

📝 Answered - Consider this system of equations: [tex]\begin{array}{l} y=4 x^2+2 x+9 \\ y-8=6 x \end{array}[/tex] Solved for [tex]y[/tex], the linear equation is $\square$ Which is the solution set of the system? $\square$

📝 Answered - Here is a summary of the scenario your classmate presented for the talent show: | Main show | The main show will last two hours and will include twelve individual acts and six group acts. | | --------- | ------------------------------------------------------------------------------------------ | | Final show | The final show will last 30 minutes and will include the top four individual acts and the top group act. | The equations he came up with are: [tex] \begin{array}{l} 12 x+6 y=120 \\ 4 x+y=30 \end{array} [/tex] 1. What do [tex]$x$[/tex] and [tex]$y$[/tex] represent in this situation?

📝 Answered - Find the $y$-intercept. $\begin{array}{c} y=\frac{4 x+12}{4 x-12} \ (0,[?]) \end{array}$

📝 Answered - Find $f(g(x))$ and $g(f(x))$ and determine whether the pair of functions $f$ and $g$ are inverses of each other. $f(x)=5 x-2 \text { and } g(x)=\frac{x+5}{2}$ a. $f(g(x))=$ $\square$ (Simplify your answer. Use integers or fractions for any numbers in the expression.) b. $g(f(x))=$ $\square$ (Simplify your answer. Use integers or fractions for any numbers in the expression.) c. $f$ and $g$ are not inverses of each other. $f$ and $g$ are inverses of each other.

📝 Answered - Riley had to add this group of numbers $(56+47)+53$, but he wanted to add them as quickly and as easily as possible. Here is how he decided to add the numbers: Original problem: $(56+47)+53$ Riley rewrote it as $56+(47+53)=56+100=156$. Which number property allowed him to add the numbers in this way? A. the Identity Property of Addition B. the Associative Property of Addition C. the Commutative Property of Addition

📝 Answered - Which logarithmic equation has the same solution as $x-4=2^3$? A. $\log 3^2=(x-4)$ B. $\log 2^3=(x-4)$ C. $\log _2(x-4)=3$ D. $\log _3(x-4)=2$

📝 Answered - Which set of ordered pairs could be generated by an exponential function? (0,0),(1,1),(2,8),(3,27) (0,1),(1,2),(2,5),(3,10) (0,0),(1,3),(2,6),(3,9) (0,1),(1,3),(2,9),(3,27)

📝 Answered - Which of the following is the correct definition of an angle? A. A shape formed by the intersection of two lines B. A shape formed by two intersecting rays C. A shape formed by two intersecting lines or rays D. A shape formed by two intersecting lines from a common point

📝 Answered - Find the product. [tex]\frac{7}{9} \times \frac{3}{21}[/tex] Enter your simplified answer.

📝 Answered - What is the domain for the exponential function $f(x)=-4 \log (x+2)$? D:$\left\{x \in R \right\}$ D:$\left\{x \in R \mid x>-2\right\}$ D:$\left\{x \in R \mid x>2\right\}$ D:$\left\{x \in R \mid x>4\right\}$