Answer:
Step-by-step explanation:
10(3)+2(10)(4)+2(3)(4)=30+80+24
=134
Answer:
The value of s is "90". A further explanation is given below.
Step-by-step explanation:
The given expression is:
⇒ 10=s÷2+7
i.e,
⇒ 
On solving the above expression, we get
⇒ 
On applying cross-multiplication, we get
⇒ 
⇒ 
Step-by-step explanation:
(a)
Using the definition given from the problem
![f(A) = \{x^2 \, : \, x \in [0,2]\} = [0,4]\\f(B) = \{x^2 \, : \, x \in [1,4]\} = [1,16]\\f(A) \cap f(B) = [1,4] = f(A \cap B)\\](https://tex.z-dn.net/?f=f%28A%29%20%3D%20%5C%7Bx%5E2%20%20%5C%2C%20%3A%20%5C%2C%20x%20%5Cin%20%5B0%2C2%5D%5C%7D%20%3D%20%5B0%2C4%5D%5C%5Cf%28B%29%20%3D%20%5C%7Bx%5E2%20%20%5C%2C%20%3A%20%5C%2C%20x%20%5Cin%20%5B1%2C4%5D%5C%7D%20%3D%20%5B1%2C16%5D%5C%5Cf%28A%29%20%5Ccap%20f%28B%29%20%3D%20%5B1%2C4%5D%20%20%3D%20f%28A%20%5Ccap%20B%29%5C%5C)
Therefore it is true for intersection. Now for union, we have that
![A \cup B = [0,4]\\f(A\cup B ) = [0,16]\\f(A) = [0,4]\\f(B)= [1,16]\\f(A) \cup f(B) = [0,16]](https://tex.z-dn.net/?f=A%20%5Ccup%20B%20%3D%20%5B0%2C4%5D%5C%5Cf%28A%5Ccup%20B%20%29%20%3D%20%5B0%2C16%5D%5C%5Cf%28A%29%20%3D%20%5B0%2C4%5D%5C%5Cf%28B%29%3D%20%5B1%2C16%5D%5C%5Cf%28A%29%20%5Ccup%20f%28B%29%20%3D%20%5B0%2C16%5D)
Therefore, for this case, it would be true that
.
(b)
1 is not a set.
(c)
To begin with

Therefore

Now, given an element of
it will belong to both sets, therefore it also belongs to
, and you would have that
, therefore
.
(d)
To begin with
, therefore

Answer:
y = 32
Step-by-step explanation:
sqrt(2y) +3 = 11
Subtract 3 from each side
sqrt(2y) +3-3 = 11-3
sqrt(2y) = 8
Square each side
(sqrt(2y))^2 = 8^2
2y = 64
Divide by 2
2y/2 = 64/2
y = 32
Answer:
Step-by-step explanation:
(13)2−(2x+7)=0
19x2−2x−7=0
9(19x2−2x−7)=9(0)
x2−18x−63=0
(x−21)(x+3)=0
Therefore, the value of x are
x - 21 = 0 and x + 3 = 0
x = 21 x = -3