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Questions in mathematics

📝 Answered - Determine any data values that are missing from the table, assuming that the data represent a linear function. | x | y | | -- | -- | | 4 | 17 | | 6 | 19 | | | 21 | | 10 | | a. Missing x: 8 Missing y: 23 b. Missing x: 10 Missing y: 21 c. Missing x: 8 Missing y: 22 d. Missing x: 9 Missing y: 20 Please select the best answer from the choices provided

📝 Answered - Select the best answer for the question. Heidi, a jewelry salesperson, earns a commission of $55 every time she sells a diamond ring. How many rings does she have to sell to earn $605? Choose the equation that correctly calculates the amount. A. $55-w=$605-w B. $55=w=$605 C. $55+w=$605 D. $605-$55=w

📝 Answered - What is the square root of [tex]$\sqrt{90}$[/tex]?

📝 Answered - Given the function [tex]f(x)=6|x-2|+3[/tex], for what values of [tex]x[/tex] is [tex]f(x)=39[/tex]? [tex]x=-8, x=4[/tex] [tex]x=8, x=-4[/tex] [tex]x=9, x=-4[/tex] [tex]x=8, x=-10[/tex]

📝 Answered - During the finals of a state-level math olympiad at PSG Public School, Coimbatore, students were given this challenge: If α and β are the roots of the equation 15x² - 8x + 1 = 0, what is the value of the following: (α + β) + (α² + β²) + (α³ + β³) + (α⁴ + β⁴) + ...? What answer did Shreya give? Note: Round off your answer to 3 decimal places. For example, if the answer is 0.5 put 0.500, if the answer is 0.5447 then put 0.545, and if the answer is 0.7825 then put 0.783.

📝 Answered - Select the correct answer. Which function has a range of $[-6, \infty)$ ? $f(x)=\sqrt{x-4}+6$ $f(x)=\sqrt{x+4}-6$ $f(x)=\sqrt{x+6}-4$ $f(x)=\sqrt{x-6}+4$

📝 Answered - Calculate the result of the subtraction: \[ \frac{79}{11} - 5 \frac{10}{11} = \] Choose the correct answer: A. \[ 3 \frac{7}{13} \] B. \[ 1 \frac{10}{11} \] C. \[ 13 \frac{7}{13} \] D. \[ 13 \frac{11}{13} \]

📝 Answered - What are the necessary criteria for a line to be perpendicular to the given line and have the same $y$ intercept? A. The slope is $-\frac{3}{2}$ and contains the point $(0,2)$. B. The slope is $-\frac{2}{3}$ and contains the point $(0,-2)$. C. The slope is $\frac{3}{2}$ and contains the point $(0,2)$. D. The slope is $-\frac{3}{2}$ and contains the point $(0,-2)$.

📝 Answered - Define the concept of a prime number and use your definition to explain to a grade 5 mathematics learner how to find the prime numbers between 1 and 50.

📝 Answered - Solve the absolute value equation. [tex]|x|=-1[/tex]