Answer:
all answers below
Step-by-step explanation:
(i) 2704 = 2^4 x 13^2
(ii) as both indices (the powers) are divisible by 2, it is a perfect square.
(iii) as both indices are not divisible by 3, it is not a perfect square.
Answer: The length and width are 50 and 30 meters (or 30 and 50 meters).
Step-by-step explanation:
To solve this question, we can represent variables for the length and width in two equations.
To solve for one of the variables, you'll have to substitute one of the variables, so solve for one of them:
Now, we have a standard quadratic equation that we can factor. When factoring, you'll get this:
This tells us that the width could be either 50 or 30.
Substitute 50 into one of the equations to find the length:
2 (l) + 100 = 160
l = 30.
The length and width are 50 and 30 meters (or 30 and 50 meters).
Answer:
About $4425.69
Step-by-step explanation:
Input the values into the equation to get: $4253(1+0.01)^4=
$4425.69(when rounding to the nearest cent)
Answer:
f(x) = (3x - 7)/5
f^-1(x) = (5y + 7)/3
The DOMAIN is the set of all possible numbers that you can put in for the independent variable and get an answer. If you had g(x) = 1/x, you could NOT put in 0 for x and get an answer because 1/0 is undefined. So the domain is all numbers but 0.
The RANGE is the set of numbers you will get for the dependent variable. If you had g(x) = 1/x, you could NOT get 0 for g(x), no matter what you put in for x. So the range is all numbers but 0.
In both your functions the domain and the range equal all possible numbers. Or all real numbers.
Step-by-step explanation:
Another way to write the answers is:
D = {x | x = R} and R = {f(x) | f(x) = R} where
D = domain, R = range, { } means set, | is such that.
