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:
The correct answer is b) 1100 adults and 1400 students.
Step-by-step explanation:
To find this, set up a system of equations in which x is the number of students who attend and y is the number of adults who attend.
First start by creating an equation for money made.
5x + 10y = 18,000
Now write an equation for the amount that attend.
x + y = 2,500
Now multiply the bottom equation by -5 and add the equations together.
-5x - 5y = -12,500
5x + 10y = 18,000
5y = 5,500
y = 1,100
Since this is the number of adults, we can plug into an original equation to find the number of students.
x + y = 2,500
x + 1,100 = 2,500
x = 1,400
Answer:
a. ⁴√x³
d. ¹²√x⁹
Step-by-step explanation:
First, simplify 9⁄12 to ¾. Then, according to the Definition of Rational Exponents [part II], ⁿ√aᵐ = aᵐ\ⁿ, you set your denominator equal to the root, and your numerator becomes your exponent, keeping your base INSIDE the radical.
I am joyous to assist you anytime.
Step-by-step explanation:
Question 1:
In the expression 4y - 6x² + 5 + 9x, there are
4 terms. (4y/6x²/5/9x) A term consists of a coefficient and a variable, or otherwise a constant term like 5.
Question 2:
4(6x - 5) - 7x
= (24x - 20) - 7x
= 17x - 20.
Therefore the correct answers are
the 1st and 2nd options.
Question 3:
3x - 8y + 11x - 4 + 5y
= (3x + 11x) + (5y - 8y) - 4
= 14x - 3y - 4.
The 4th option is correct.
Answer:
possible
Step-by-step explanation:
the question asks what is the likelyhood of making a free throw 70% of the time, whcih is possible beacuase you can make it, you can also miss it. there are several professional basketball players that have that percentage. but it is not likely that someone could just shoot 70 percent. so i would stick with possible
