Answer:
-6
Step-by-step explanation:
All you have to do is plug in the -3 in the expression so the new expression would be -3(2) so the answer is -6
Answer:
1/12 of the container of milk will be left in the container
Step-by-step explanation:
To solve the question, we first note the variables
Volume of milk available = 9/12 of a container
Volume of milk poured in a pan = 2/3 of a container
Quantity of milk left = Initial quantity of milk less the quantity poured out
That is 9/12-2/3 = 1/12 of the container of milk
This means that there will be only 1/12 of the container of milk left
Answer:
Domain of f(x): All real values.
Range of f(x): All real values.
Domain of f -1(x): All real values.
Range of f -1(x): All real values
Step-by-step explanation:
We are given the following function:
Since it is a line, we have that both the domain is the range is the real set.
Inverse function:
The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.
Finding the inverse function:
Exchange x and y in the original function, and isolate y. So
Original
Exchanging:
Isolating y:
Let the length of the playground be x, then the width is 6 + x.
Area = length * width = x * (6 + x) = 6x + x^2 = 216
Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18
i.e length = 12 and width = 6 + 18 = 18
Answer:
r = 7 cm; l = 11cm
The circle encloses more area than the square
Step-by-step explanation:
(a) Radius of circle
The formula for the circumference of a circle is
A = 2πr
r = A/(2π)
Data:
C = 44 in
Calculation:
r = 44/(2 × 22/7)
= 44/2 × 7/22
= 2/2 × 7
= 7 in
(b) Side of square
P = 4l
l = P/4
= 44/4
= 11 in
(c) Areas
(i) Circle
A = πr²
= 22/7 × 7²
= 22/7 × 49
= 22 × 7
= 154 cm²
(ii) Square
A = l²
= 11²
= 121 cm²
The circle encloses more area than the square.
