Questions in mathematics

Questions in mathematics

📝 Answered - Solve the two equations in the table by factoring. Then enter those factors and the solutions in the table. Equation [tex]k^2+10=0[/tex] [tex]4 x^2+29=0[/tex] Solutions

📝 Answered - Find the LCM of [tex]$3 x^2 y^3$[/tex] and [tex]$10 x y^4$[/tex].

📝 Answered - Solve the proportion for the missing number. [tex]\frac{13}{2}=\frac{}{12}[/tex]

📝 Answered - Jamal simplified the expression $\sqrt{75 x^5 y^8}$ where $x \geq 0$ and $y \geq 0$. $\sqrt{75 x^5 y^8}=\sqrt{25 \cdot 3 \cdot x^4 \cdot x \cdot y^8}=5 x^2 y^2 \sqrt{3 x}$ Which describes the error Jamal made? A. He should have written the square root of $y^8$ in the answer as $y^4$, not $y^2$. B. He should have written the square root of $x^4$ in the answer as $x$, not $x^2$. C. He should have written the 5 inside of the radical in the answer. D. He should have written the 3 outside of the radical in the answer.

📝 Answered - By rounding to 1 significant figure, estimate the answers to these questions: a) $92 \times 98$ b) $49 \times 138$ c) $216 \times 876$

📝 Answered - (a) 25 × 12 = _ (b) 25 × 240 = _ (c) 250 × 120 = _ (d) 2500 × 12 = _ (e) _ × _ = 120000000 How Long is the Product? 11 × 11 = _ 111 × 111 = _ 1111 × 1111 = _ 66 × 61 = _ 666 × 661 = _ 6666 × 6661 = _ 3 × 5 = _ 33 × 35 = _ 333 × 335 = _ 101 × 101 = _ 102 × 102 = _ 103 × 103 = _

📝 Answered - The ratio of two quantities is 7:12. If the larger one is 84, find the other.

📝 Answered - A sequence is defined by the recursive function $f(n+1)=f(n)-2$. If $f(1)=10$, what is $f(3)$?

📝 Answered - What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point $(-3,1)$? A. $y-1=-\frac{3}{2}(x+3)$ B. $y-1=-\frac{2}{3}(x+3)$ C. $y-1=\frac{2}{3}(x+3)$ D. $y-1=\frac{3}{2}(x+3)$

📝 Answered - The table represents a bicycle rental cost in dollars as a function of time in hours. Bicycle Rental | Time (hours) | Cost ($) | |---|---| | 0 | 0 | | 2 | 10 | | 4 | 20 | | 6 | 30 | | 8 | 40 | Which explains whether or not the function represents a direct variation? A. This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour. B. This function represents a direct variation because it has a positive, constant rate of change of $10 per hour. C. This function does not represent a direct variation because it does not represent the cost for 1 hour. D. This function does not represent a direct variation because the function rule for the cost is to add $10, not multiply by a constant.