Hello from MrBillDoesMath!
Answer:
For y = 4x, the domain of the function is all real numbers. This can be indicated as ( -infinity, infinity),
...later part of question:...
..."because an exponent can be any real"
exponent? !!!
Did you mean y = 4^x ? In this case the domain of y is all real numbers ann the range is (0, infinity), where the value 0 is not included in the range.
Thank you,
MrB
Answer:
The value of cot theta is undefined for all the options
Step-by-step explanation:
I think the best way to go about this is by the use of a calculator.
All that needs to be done is to input the individual values to see where we have an answer that is out of it.
Now, moving away from the calculators, we know quite well that cot is a derivative of tan.
By knowing the values at which we have tan as undefined, we can appropriately see values where cot too would be undefined.
On a normal scientific calculator, there is no cot functionality.
The way around this is to express
Cot theta as 1/tan theta
Thus cot 90 = 1/cot(90) = calculation error
Cot 180 = 1/tan (180) = calculation error
Cot 270 = 1/tan 270 = calculation error
Cot 450 = 1/tan (450) = calculation error
This shows that the value of cot is undefined for all of these options
Let, the cost of a belt = x
cost of a wallet = y
Then, system of equations would be:
x + y = 42
7x + 4y = 213
Multiply 1st equation by 4,
4x + 4y = 168
Substitute it from 2nd equation,
3x = 45
x = 15
Now, substitute it in 1st equation,
15 + y = 42
y = 42 - 15 = 27
In short, Belt costs $15 and wallet costs $27
A)
15x4=60
27x4=108
60+108=
four belts and four wallets cost 168
B) 3x15=
<span>three belts cost 45</span>
Five-Hundred Three Thousand, Two-Hundred Forty Six