Questions in mathematics

Questions in mathematics

[Free] Multiply: [tex](\sqrt{10}+2 \sqrt{8})(\sqrt{10}-2 \sqrt{8})[/tex] Multiply: [tex](\sqrt{2 x^3}+\sqrt{12 x})(2 \sqrt{10 x^5}+\sqrt{6 x^2})[/tex]

[Free] Evaluate the integral. [tex]\int \frac{x+2}{x^2+5 x-6} d x=[/tex]

[Free] A basket contained 10 mangoes. Three mangoes were removed. Find the percentage decrease in the number of mangoes in the basket. A. 3% B. 10% C. 70% D. 30%.

[Free] A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with stain. One rectangular area is 23 feet by 10.4 feet, and the other is 10.5 feet by 7.2 feet. Which expression gives the number of gallons of stain Bradley will need? [(23)(10.5)+(10.4)(7.2)]+200 [(23)(10.4)+(10.5)(7.2)]+200 [(23)(10.5)+(10.4)(7.2)] / 200 [(23)(10.4)+(10.5)(7.2)] / 200

[Free] What is the first step to solving a long equation like [tex]$3 x+5+8 x-12=12 x+2-13-3 x$[/tex] ? A. Combine like terms B. Subtract the numbers with the variables C. Add D. Move the variables over to one side

[Free] The table shows the number of games won, drawn, and lost by three football teams. Work out how many games Club Rovers lost. | | City FC | Town United | Club Rovers | Total | | :----- | :------ | :---------- | :---------- | :---- | | Win | 7 | | 17 | 30 | | Draw | 5 | | | 40 | | Loss | | 8 | | | | Total | | 30 | 45 | 90 |

[Free] Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth. a. [tex]x^2+7 x+9=0[/tex] b. [tex]x^2-2 x-4=0[/tex] c. [tex]x^2-4 x+6=0[/tex]

[Free] Add. $376+47.45+6.9=$

[Free] 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 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.

[Free] Complete the following statement. The radical equation $2+\sqrt{2 x-3}=\sqrt{x+7}$ has a solution set ( $x=$ $\square$ ) and an extraneous root $x=$ $\square$