Questions in mathematics

Questions in mathematics

📝 Answered - Is $(1,3)$ a solution to the system of inequalities below? [tex]\begin{array}{l} y\ \textgreater \ 3x-1 \ y\ \textless \ -3 x \end{array}[/tex] Why or why not? A. Yes, $(1,3)$ is not a solution to the inequalities because when you plug in the 1 for $x$ and the 3 for $y$ it creates two true statements. B. Yes, $(1,3)$ is not a solution to the inequalities because when you plug in the 1 for $x$ and the 3 for $y$ it creates two false statements. C. No, $(1,3)$ is not a solution to the inequalities because when you plug in the 1 for $x$ and the 3 for $y$ it creates two false statements. D. No, $(1,3)$ is not a solution to the inequalities because when you plug in the 1 for $x$ and the 3 for $y$...

📝 Answered - Write (T) for true and (F) for false statements: 1. 2 is the smallest even number. 2. Sum of an odd and an even number is an even number. 3. Sum of two even numbers is an odd number. 4. 1 is the smallest odd number. 5. A number having 5 at ones place is an even number. 6. A number having 8 at the ones place is an even number. Answer the following: 1. Name a vehicle having an odd number of tires. 2. Which letters are present in even numbers in the word 'MATHEMATICS'? 3. Which letters are present in odd numbers in the word 'ARYABHATT'?

📝 Answered - Give two examples of things that you see in real life which have the following shapes: a) Pentagon b) Cube c) Cuboid d) Octagon

📝 Answered - g(t) = -2t² - 5t h(t) = -t + 5 Find (g ∘ h)(x).

📝 Answered - 46. If x² - 3x + 1 = 0, then what is the value of x³ + 1/x³? (a) 9 (b) 18 (c) 27 (d) 1 47. Shyam says, "The father of Rajiv's father is my father." How is Shyama related to Rajiv?

📝 Answered - Raj encoded a secret phrase using matrix multiplication. Using $A=1, B=2, C=3$, and so on, he multiplied the clear text code for each letter by the matrix $C=\left[\begin{array}{ll}2 & 5 \\ 1 & 2\end{array}\right]$ to get a matrix that represents the encoded text. The matrix representing the encoded text is $\left[\begin{array}{ccccccc}85 & 111 & 135 & 111 & 95 & 101 & 153 \\ 38 & 46 & 55 & 45 & 41 & 44 & 64\end{array}\right]$. What is the secret phrase? Determine the location of spaces after you decode the text. A. YUMMY IS THE CORN B. THE TOMATO IS RED C. THE CORN IS YUMMY D. RED IS THE TOMATO

📝 Answered - When a polynomial is divided by [tex]$4x-6$[/tex], the quotient is [tex]$2x^2+x+1$[/tex] and the remainder is -4. What is the dividend, [tex]$f(x)$[/tex]? Explain.

📝 Answered - A home cleaning service takes more time to clean larger spaces. The table shows the number of minutes it takes for the service to clean a certain number of square feet within a home. | Number of Square Feet, $x$ | 50 | 80 | 100 | 150 | |---|---|---|---|---| | Time in Minutes, $y$ | 20 | 32 | 40 | 60 | Based on the table, how many minutes would it take for the service to clean 200 square feet? A. 20 minutes B. 80 minutes C. 125 minutes D. 400 minutes

📝 Answered - Sebastian used the table and correctly identified that the data does not represent a logarithmic function. What information did Sebastian use in his deduction? A. The table does not show a vertical asymptote. B. The table shows two $y$-intercepts and it changes from increasing to decreasing. C. The table shows one $x$-intercept and one $y$-intercept. D. The table shows two $x$-intercepts and it changes from increasing to decreasing.

📝 Answered - Stacy buys a used car for $22,000. If the value of the car depreciates by 18% every year, what is the value of the used car after 9 years? Remaining Amount = [tex]I (1-r)^{ t }[/tex] $[?] Round your answer to the nearest whole number.