Answer:
286 students attended
148 non students attended
Step-by-step explanation:
Given




Solving (a): Number of students
Represent students with S and non students with N
So:
--- (1)
--- (2)
Make N the subject of formula in (1)

Substitute 434 - S for N in (2)

Open Bracket

Collect Like Terms


Divide through by -2

<em>Hence; 286 students attended</em>
Solving (b):
Recall that



<em>148 non students attended</em>
Answer:
third and fourth option
Step-by-step explanation:
volume of rectangular prism = length*width*height
=7.5 * 2 * 4.2
= 63 cm^3
Answer:
y-intercept is 8
x-intercept is 24
Step-by-step explanation:
put equation into slope-intercept form:
x + 3y = 24
3y = -x + 24
y = -1/3x + 8
now we know the y-intercept is at point (0,8)
Factor:
2sin^2x-sinx = 0
sinx(2sinx - 1) = 0
Therefore the solutions are when:
sin x = 0
And
sinx = 1/2
So sinx = 0
is true when x = 0 and pi and all the angles coterminal with these points. Thus, the answer is x = pi*n, (where n is some integer)
sinx = 1/2
is true when x = pi/6 and 5pi/6 and the angles coterminal with these points.
Thus, the answer is x = pi/6 + 2pi*n (where n is some integer)
and x = 5pi/6 + 2pi*n (where n is some integer)