Questions in mathematics

Questions in mathematics

📝 Answered - Find the equivalent fraction of \(\frac{3}{5}\) with the following: 1. Denominator 20. 2. Numerator 9.

📝 Answered - In the following, circle the polynomials: (i) \(\sqrt{x} + 2\) (ii) \(t^2 + 5t - 1\) (iii) \(\sqrt{3}x^2 - 2x\) (iv) 8 (v) \(1 - \sqrt{2}x\) (vi) \(\frac{t-4}{t}\)

📝 Answered - On a number line, the directed line segment from [tex]$Q$[/tex] to [tex]$S$[/tex] has endpoints [tex]$Q$[/tex] at -14 and [tex]$S$[/tex] at 2. Point [tex]$R$[/tex] partitions the directed line segment from [tex]$Q$[/tex] to [tex]$S$[/tex] in a 3:5 ratio. Which expression correctly uses the formula [tex]$\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1$[/tex] to find the location of point R? A. [tex]$\left(\frac{3}{3+5}\right)(2-(-14))+(-14)$[/tex] B. [tex]$\left(\frac{3}{3+5}\right)(-14-2)+2$[/tex] C. [tex]$\left(\frac{3}{3+5}\right)(2-14)+14$[/tex] D. [tex]$\left(\frac{3}{3+5}\right)(-14-2)-2[/tex]

📝 Answered - Which of the following is an extraneous solution of $\sqrt{4 x+41}=x+5$? A. $x=-8$ B. $x=-2$ C. $x=2$ D. $x=8$

📝 Answered - What equation is equivalent to $9^{x-3}=729$? A. $9^{x-3}=9^{81}$ B. $9^{x-3}=9^3$ C. $3^{x-3}=3^6$ D. $3^{2 x-3}=3^6$

📝 Answered - Determine if the following represent functions. Write Yes or No on the blank. 1. {(2,5),(4,7),(2,9),(6,10)} 2. | domain | range | | :----- | :---- | | 1 | 3 | | 2 | 5 | | 3 | 7 | | 4 | 9 | 3. | Domain | Range | | :----- | :---- | | 2 | 13 | | 4 | 14 | | 6 | 15 | | 8 | 13 | 4. Match the scenarios with the function rules. 5. The electric bill included a base charge of $30 plus $0.13 per kilowatt hour. 6. The worker was paid a day rate of $50 plus $3 for each box he filled with the apples that he picked. A. 0.13x+30 B. 3x+50 Write on the blank whether the graph is (A) a discrete function or (B) a continuous function. 7. 8.

📝 Answered - What is $y^2-3 y-18$ in factored form?

📝 Answered - The table represents the recommended exercise intensity for an aerobic program based on the number of visits since beginning the program. Exercise Intensity | Number of Visits | Exercise Intensity | |---|---| | 1 | 60% | | 2 | 60% | | 3 | 60% | | 4 | ? | | 5 | ? | | 6 | ? | The program suggests maintaining a consistent intensity for the first 3 visits, gradually increasing intensity over the subsequent 3 visits, followed by a decrease in intensity for the next 3 visits, before repeating the pattern. Which of the following options represent the possible intensities for Amber's exercise during the fourth, fifth, and sixth visits? Select three options. 63%, 63%, 63% 66%, 69%, 72% 66%, 62%, 58% 63%, 65%, 67% 67%, 72%, 77%

📝 Answered - A personal trainer charges a fixed fee for the first 3 hours and an hourly fee for each additional hour. If the fee charged for 6 hours is $495 and the fee charged for 9 hours is $720, what is the fee charged, in dollars, for 4 hours of training?

📝 Answered - 2. [tex] \frac{4}{3} \div 1 \frac{3}{4}= [/tex] 3. [tex] \frac{3}{6} \div 2 \frac{1}{2}= [/tex] 4. [tex] 2 \frac{1}{4} \div 3 \frac{4}{5}= [/tex]