Questions in mathematics

Questions in mathematics

📝 Answered - Katie flipped a coin 10 times. Her results are shown below. | Outcome | Frequency | |---|---| | Heads | 3 | | Tails | 7 | a) Work out the experimental probability of the outcome being heads. Give your answer as a decimal.

📝 Answered - Rationalize the denominator and simplify: [tex]$\frac{x}{x+\sqrt{3}}$[/tex]

📝 Answered - Select whether the equation has a solution or not. [tex]$\sqrt{12 x-23}=\sqrt{3 x-11}+\sqrt{3 x}$[/tex] A. roots B. no roots

📝 Answered - What substitution should be used to rewrite 4x⁴ - 21x² + 20 = 0 as a quadratic equation? A. u = x² B. u = 2x² C. u = x⁴ D. u = 4x⁴

📝 Answered - Apply the distributive property to factor out the greatest common factor of all three terms. $9-12 x+6 y=$

📝 Answered - If you are paid weekly, how many times are you paid in a month? A. 1 B. 2 C. 3 D. 4 or 5

📝 Answered - One recipe calls for $\frac{3}{4}$ cup of milk. A different recipe calls for $\frac{1}{2}$ as much milk as the first recipe. How much milk does the second recipe call for? A. $\frac{1}{4}$ cup B. $\frac{4}{6}$ cup C. $\frac{2}{3}$ cup D. $\frac{3}{8}$ cup

📝 Answered - Find \$\int \frac{2}{x} d x\$

📝 Answered - Simplify the expression: [tex]$\frac{18 m \cdot 24}{60}$[/tex]

📝 Answered - A sequence is defined recursively using the formula [tex]$f(n+1)=f(n)-5$[/tex]. Which sequence could be generated using this formula? A. [tex]$1,-5,25,-125, \ldots$[/tex] B. [tex]$2,10,50,250, \ldots$[/tex] C. [tex]$3,-2,-7,-12, \ldots$[/tex]