Answer:
please mark me brainliesf if it helps you
f(x) = -3x+1
or, y = -3x + 1
Interchanging the position of x and y, we get,
x = -3y +1
or, 3y = 1 - x
or, y = 1 - x /3
: . f^-1(x) = 1-x / 3
Answer:
x = 1, -2/7
Step-by-step explanation:
You could use the quadratic equation but this can be factored into
(7x + 2) (x - 1). You can verify that by multiplying it out.
Since (7x + 2) (x - 1) = 0, if either factor is 0 then the equation would be equal to 0, thus we get x = 1, -2/7
Answer:
400 m^2.
Step-by-step explanation:
The largest area is obtained where the enclosure is a square.
I think that's the right answer because a square is a special form of a rectangle.
So the square would be 20 * 20 = 400 m^2.
Proof:
Let the sides of the rectangle be x and y m long
The area A = xy.
Also the perimeter 2x + 2y = 80
x + y = 40
y = 40 - x.
So substituting for y in A = xy:-
A = x(40 - x)
A = 40x - x^2
For maximum value of A we find the derivative and equate it to 0:
derivative A' = 40 - 2x = 0
2x = 40
x = 20.
So y = 40 - x
= 40 - 20
=20
x and y are the same value so x = y.
Therefore for maximum area the rectangle is a square.
<em>x = - 9</em>
- Step-by-step explanation:
<em>6x + 10 = 4x - 8</em>
<em>6x - 4x = - 10 - 8</em>
<em>2x = - 18</em>
<em>x = - 18 : 2</em>
<em>x = - 9</em>
Answer:
c. The tip is $10.00
Step-by-step explanation:
The total bill in the restaurant is = $ 68.42
They wanted to pay a gratuity of 15%
Therefore the correct tip can be calculated as :
= 68.42 of 15%
= 
= 68.42 x 0.15
= 10.263
≈ 10 (approx.)
Thus the individual along with the other two wishes to pay a tip $10.00 for the total value.
