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Questions in mathematics

📝 Answered - The solutions to the inequality $y>-3 x+2$ are shaded on the graph. Which point is a solution? (0,2) (2,0) (1,-2) (-2,1)

📝 Answered - The Payans have just learned that the bank will approve them for a mortgage at an APR of [tex]$4.3 \%$[/tex] for 30 years if they meet the back-end ratio requirement. To determine whether they'll meet the requirement, the back-end ratio needs to be calculated with the actually monthly payment rather than the estimate used in part A. Use this monthly payment formula to calculate the Payans' monthly mortgage payment. Monthly payment formula: [tex]$M=\frac{p\left(\frac{r}{12}\right)\left(1+\frac{r}{12}\right)^{12 t}}{\left(1+\frac{r}{12}\right)^{12 t}-1}$[/tex], where [tex]$M=$[/tex] monthly payment [tex]$p=$[/tex] principal [tex]$r=$[/tex] interest rate [tex]$t=$[/tex] number of years A. $895.83 B. $935.12 C. $1,135.17 D. $1,237.18

📝 Answered - Which graph represents the inequality $-3.6 \geq x$?

📝 Answered - Solve $3 x+k=c$ for $x$.

📝 Answered - Given that the universal set is all real numbers and set S is defined as the set of all [tex]$x$[/tex] such that [tex]$x$[/tex] is less than 5, which of the following is the complement of S? [tex]S={x \mid x\ \textless \ 5}[/tex] A. [tex]{x \mid x \neq 5}[/tex] B. [tex]{6,7,8 \ldots}[/tex] C. [tex]{x \mid x\ \textgreater \ 5}[/tex] D. [tex]{x \mid x \geq 5}[/tex]

📝 Answered - The ratio of the radii of two circles is $4: 5$. What is the ratio of the circumferences of the two circles?

📝 Answered - Select the correct answer. The sum of 2 times a number and 10 is the same as 6 times the difference of the number and 1. What is the number?

📝 Answered - Which equation describes the same line as $y-5=-2(x+4)$? A. $y=-2 x-2$ B. $y=-2 x-3$ C. $y=-2 x-8$ D. $y=-2 x+9$

📝 Answered - The model below represents the equation [tex]x+4=4x+2[/tex]. What value of [tex]x[/tex] makes the equation true? A. [tex]\frac{2}{3}[/tex] B. 2 C. [tex]\frac{6}{5}[/tex] D. 4

📝 Answered - If [tex]$2.8^3=2^{x-4}$[/tex], find the value of x.