The given function : h(x) = 6 - x
We know that for any functions f(x) and g(x)
f*g (x)=f(x)\times g(x)
Therefore , h*h (x)=h(x)\times h(x)
h*h (x)=(6-x)(6-x)=(6-x)^2
h*h (x)=(6)^2-2(6)(x)+x^2 [ Using identity (a-b)^2=a^2+2ab+b^2 ]
h*h (x)=36-12(x)+x^2
\-------->\ h*h (x)=36-12(x)+x^2 Now, at x= 10 , we get
h*h (10)=36-12(10)+(10)^2
h*h (10)=36-120+100=36+100-120=136-120=16
Hence, the value of (h*h)(10) = 16
hoped it helped
Answer:-3/2
Step-by-step explanation:
Answer:
Width of the rectangle = 5 inches
Length of the rectangle = 20 inches
Step-by-step explanation:
Let us assume the width of the rectangle = m in
So, the length of the rectangle = 4 (Width) = (4 m) in
Perimeter of the rectangle = 50 inches
Now, Perimeter of the Rectangle = 2 (LENGTH + WIDTH)
⇒ 2( m + 4m) = 50
or, 2(5m) = 50
⇒ 10m = 50 or, m = 50/10 = 5
⇒ m = 5
So, the width of the rectangle = 5 inches
and the length of the rectangle = 4 m = 4 x 5 = 20 inches
Answer:
3÷2
Step-by-step explanation:
First let the required no. be 'x'.
By question,
(2÷3)+2x=3x-(5÷6)
or,(2+6x)÷3=(18x-5)÷6
or,2+6x=(18x-5)÷2
or,4+12x=18-5
or,x=9÷6
Therefore, x=3÷2
