Answer:
area of big rectangle=l×b=12×18=216cm²
area of smaller square=l²=8²=64cm²
area of shaded area =area of (bigger rectangle-smaller square)=216-64=152cm²
3x^2 - 7x + 12 = 0...move the 12 to the other side
3x^2 - 7x = -12....now divide by 3
x^2 - 7/3x = -4..this is where he made his mistake
Answer: -2, 2, 7/4
***If the pictures is sideways, use the rotate button. I hope the explanation made sense!
Answer:
Equation = X*(2/3) = 3/20
Solve for X = 0.23
Step-by-step explanation:
Let, the number be "X"
According to the question,
X*(2/3) = 3/20..........(i)
From equation (i), we can get,
X = (3/20)/(2/3)
or, X = 0.15/0.66
or, X = 0.23
Alternative way,
Let, the number be "X"
According to the question,
X*(2/3) = 3/20..........(i)
From equation (i), we can get,
X = (3/20)/(2/3)
or, X = (3/20)*(3/2)
or, X = 9/40
or, X = 0.23
Let

. Then

, and differentiating both sides with respect to

gives


Now, when

, you get

You have

, so

and

. So