Graph the quadratic function \( f(x)=x^{2}-10 x+24 \). Give the (a) vertex, Then determine (e) the largest open interval of the domain over whic the largest open interval over which the function is decreasing. (a) The vertex is \( (5,-1) \). (Type an ordered pair.) Use the graphing tool to graph the function. (b) The axis is \( x=5 \). (Type an equation.) (c) The domain is \( (-\infty, \infty) \). (Type your answer in interval notation.) (d) The range is (Type your answer in interval notation.)

An inclined plane making an angle of \( 22^{\circ} \) with the horizontal has a pulley at its top. A \( 31-\mathrm{kg} \) block on the plane is connected to a freely hanging \( 21-\mathrm{kg} \) block by means of a cord passing over the pulley. Calculate the acceleration for the \( 21-\mathrm{kg} \) block. Take the friction coefficient between the block A and the plane to be 0.20 .

13 Identify the most comprehensive definition of an instructional programme of a. It helps learners to maintain en optimum level of fitness. b. It includes the teaching of skills and concepts. c. It encompasses the physical activities that are taught in the programme. d. It involves the teaching strategies, activities, and methods.

Solve \( 12 x-8=2(3 x+5) \)

Express the following expression as a function of an acute angle less than \( 45^{\circ} \) : \[ \csc \left(-1075^{\circ}\right) \]

8 Le plan ci-dessous représente le rez-de- chaussée d'un collège (à l'échelle \( 1 / 750 \) ).