The quotient of a number and nine will be: 9n
x/9
15
A total of 39 took psychology. 12 of those took that and science and another 10 of those took that and history. 2 people took all three. 12+10+2 = 24 students who took psychology along with another class. To find the number of students who took ONLY psychology, you would take 39 and subtract 24, which leaves you with 15.
The function notation f(x)=2x-4 means replace the x on the right-hand side with the value in parentheses on the left.
For example, f(y)=2y-4; f(4)=2(4)-4=4; f(1)=2(1)-4=-2 and so on.
The same principle applies to g(x), for example
g(2)=4(2^2)-3=13,
g(x+1)=4(x+1)^2-3=4(x^2+2x+1)-3=4x^2+8x+4-3=4x^2+8x+1
and so on.
(g of f)(x) is another way to write g(f(x)), therefore
g(f(x))
=g(2x-4) [because f(x)=2x-4
=4(2x-4)^2-3
=4(4x^2-16x+16)-3
=16x^2-64x+64-3
=16x^2-64x+61
Answer:
Area of shape = 187 cm²
Step-by-step explanation:
Given:
Length of rectangle = 15 cm
Width of rectangle = 9 cm
Height of triangle = (22-9) cm = 13 cm
Base of triangle = (15-7) cm = 8 cm
Find:
Area of shape
Computation:
Area of shape = Area of rectangle + Area of triangle
Area of shape = (l)(b) + (1/2)(b)(h)
Area of shape = (15)(9) + (1/2)(8)(13)
Area of shape = 135 + 52
Area of shape = 187 cm²
Answer:
y = 4/5x
Step-by-step explanation:
Her ya go!
