Questions in mathematics

Questions in mathematics

[Answered] If [tex]f(x)=5 x-12[/tex], what is [tex]f(2)?[/tex] A. 2 B. -22 C. -2 D. 10

[Answered] The perimeter of an isosceles triangle is 36 cm. If one of the equal sides is 13 cm, what is the area of the triangle?

[Answered] The Science Museum charges ₹14 for adult admission and ₹11 for each child. For 68 people from the school educational trip, the total cost was ₹784. Taking x as the number of adults and y as the number of children, answer the following questions: (i) Form the pair of linear equations representing the given situation. (ii) Fill in the blanks: The lines formed by the pair of linear equations are ... (iii) Find the number of adults visiting the Museum. OR (iv) Find the number of children visiting the Museum. CASE STUDY 3: A coaching institute of Mathematics conducts classes in two batches, I and II, with poor and rich children. In batch I, there are 20 poor and 5 rich children. In batch II, there are 5 poor and 25 rich children. The total monthly collection from batch I is ₹9000 and from batch II is ₹26,000. Assume that each poor child pays ₹x and each rich child pays ₹y per month.

[Answered] Determine the explicit form of the function represented by the sequence below. $3,7,11,15$ A. $f(n)=3 n-4$ B. $f(n)=n+4$ C. $f(n)=4 n+3$ D. $f(n)=4 n-1$

[Answered] What is the equation of the line that is perpendicular to the given line and passes through the point $(5,3)$? $4 x-5 y=5$ $5 x+4 y=37$ $4 x+5 y=5$ $5 x-4 y=8$

[Answered] Solve the equation for $x$. $\frac{1}{2}(x-3)-10=-2$

[Answered] Determine whether the following statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. In a survey, 140 students were taking mathematics, 50 were taking psychology, and 20 were taking neither. Thus, 210 students were surveyed. Choose the correct answer below. A. The statement is true. B. The statement is false. A true statement would be "In a survey, 140 students were taking mathematics, 50 were taking psychology, and 20 were taking neither. Thus, 170 students were surveyed." C. The statement is false. A true statement would be "In a survey, 140 students were taking mathematics, 50 were taking psychology, and 20 were taking neither. Thus, at most 210 students were surveyed."

[Answered] What is the domain of [tex]f(x)=\left(\frac{1}{4}\right)^x[/tex]? A. All real numbers B. [tex]x<0[/tex] C. [tex]y>0[/tex] D. [tex]x>0[/tex]

[Answered] Which statement is true about the quadratic equation $8 x^2-5 x+3=0$? A. The constant term is 8. B. The constant term is -5. C. The leading coefficient is 8. D. The leading coefficient is -5.

[Answered] Solve the equation for x. [tex]$3 x^2=8 x-7$[/tex] A) [tex]$\left{\frac{4 \pm i \sqrt{5}}{6}\right}$[/tex]