GuideFoot - Learn Together, Grow Smarter. Logo

Questions in mathematics

📝 Answered - (a) Find the inverse of [tex]f(x)=3x-8[/tex] (b) [tex]g(x)=\frac{x}{2}+7[/tex] (c) [tex]h(x)=\frac{x-3}{x-2}[/tex]

📝 Answered - Type the correct answer in each box. Use numerals instead of words. Sabrina is researching the growth of a population of horses on a ranch. She models the population of horses using the function below, where $n$ is the number of years after she begins the research and $b$ is an unknown base. [tex]w(n)=15 \cdot b^n[/tex] Based on the model, the initial number of horses is [ ]. If [tex]b=1.35[/tex], the annual percent growth rate of the number of horses would be [ ]%.

📝 Answered - Escribe, en tu cuaderno, la letra de la respuesta correcta perteneciente a cada literal. Observa la palabra que se forma. a) $[(2)^2]^{-1}$ P. 16 b) $\left\{\left[\left(\frac{122}{15}\right)^5\right]^0\right\}^{-3}=$ c) $(0,9)^{15} \div(0,9)^{12}$ T. 2 d) $[4]^2$ E. $\frac{1}{16^3}$ e) $\left[\frac{\left(4^2\right)^{-1}}{16^{-2}}\right]^{-3}$ s. $\left(\frac{9}{10}\right)^3$ -. $\frac{5}{2}

📝 Answered - Which of the following is an even function? [tex]f(x)=(x-1)^2[/tex] [tex]f(x)=8 x[/tex] [tex]f(x)=x^2-x[/tex] [tex]f(x)=7[/tex]

📝 Answered - Multiply: [tex]4 x \sqrt[3]{4 x^2}\left(2 \sqrt[3]{32 x^2}-x \sqrt[3]{2 x}\right)[/tex]

📝 Answered - Solve the absolute value inequality: $|x+12|+5<27$ Isolate the absolute value by subtracting 5 from both sides.

📝 Answered - Divide the following and express in the form [tex]P ( x )=[/tex] divisor [tex]x Q ( x )+ R[/tex], where R is a function of x. a. [tex](x^3-x^2+3 x+2) \div(x^2-1)[/tex] b. [tex](2 x^3+x^2-5 x-1) \div(x^2+3)[/tex] c. [tex](5 x^4-x^2+2) \div(x^3-2)[/tex]

📝 Answered - Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the values [tex]$d_1=1, C_1=\pi$[/tex], and [tex]$d_2=2 r$[/tex] into the proportion. [tex]$\frac{C_1}{d_1}=\frac{C_2}{d_2}$[/tex] Which shows how to correctly solve for [tex]$C_2$[/tex], the circumference of any circle with radius [tex]$r$[/tex]? A. Because [tex]$\frac{\pi}{1}=\frac{C_2}{2 r}, C_2=2 r \pi$[/tex] B. Because [tex]$\frac{1}{\pi}=\frac{C_2}{2 r}, C_2=\frac{2 r}{\pi}$[/tex] C. Because [tex]$\frac{\pi}{2 r}=\frac{C_2}{1}, C_2=\frac{\pi}{2 r}$[/tex] D. Because [tex]$\frac{\pi}{1}=\frac{C_2}{4 r}, C_2=4 r \pi$[/tex]

📝 Answered - Graph this system of equations: [tex] \begin{array}{l} 1.15 x+0.65 y=8.90 \\ x-3 y=-15 \end{array} [/tex]

📝 Answered - Given that x = 3, y = 2, and r = 5, work out: 3x² + y² - r² A shopkeeper packed 5¼ kg of rice into ¼ kg packets. He then sold each packet at Sh 120. How much money did he get altogether?