To calculate the range of the given function we first need to calculate for the inverse of the function;
y=sqrt(x)-5
this can be written as:
y+5=sqrt(x)
From the above equation we can conclude that we can get the squaring of all values of x such that:
x≥-5
otherwise we won't get any square root since the square roots of negative numbers will complex numbers;
thus we conclude that the range of the function is {y∈R: y≥-5}
since -4 is included in this set, then our answer is option [A]
Answer:
Step-by-step explanation:
The given functions are
It is given that
Substitute the values of given functions in the above equation.
Combine like terms.
Therefore, the required function is .
Here, you would make a proportion.
(56/4) = (x/12)
Solve:
(56*12)=4x
4x= 672
x= 168
The answer is 168 minutes.
Y = 4x
2y + 2.5x = 105
2(4x) + 2.5x = 105
10.5x = 105
x = 10
y = 40
Answer:
1 / 30
Step-by-step explanation:
For a six - sided die :
Sample space = (1, 2, 3, 4, 5, 6)
P(rolling a 1) = required outcome / sample space = 1/6
Sample space for spinner = (A, B, C, D, E)
P(spinning A ) = required outcome / sample space = 1/5
P(spinning A) = 1 / 5
P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30
