Answer:
Let y = f(x) be a function with an independent variable x and a dependent variable y.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that
chosen x-value is said to belong to the domain of f. If there is a requirement that a y-value produced by a function
must be a real number, the following conditions are commonly checked:
1. Denominators cannot equal 0.
2. Radicands (expressions under a radical symbol) of even roots (square roots, etc)
cannot have a negative value.
3. Logarithms can only be taken of positive values.
4. In word problems physical or other real-life restrictions might be imposed, e.g. time is
nonnegative, number of items is a nonnegative integer, etc.
Answer:
5.6
Step-by-step explanation:
3.4-2.3=1.1
2.3+1.1=3.4
3.4+1.1=4.5
4.5+1.1=5.6
Answer:
The solution to the system of equations is y = -5 and x = -2.
Step-by-step explanation:
The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:
-4y - 5x = 30
-4y - 5(y+3) = 30
Next, we should use the distributive property to simplify the left side of the equation.
-4y -5y - 15 = 30
The next step is to combine like terms on the left side of the equation.
-9y - 15 = 30
Then, we can add 15 to both sides of the equation.
-9y = 45
Finally, we can divide both sides of the equation by -9.
y = -5
To find the value for x, we substitute in the value we just found for y into either of our original equations.
x = y + 3
x = -5 + 3
x = -2
Therefore, the correct answer is y = -5 and x = -2.
Hope this helps!
Answer: x + 3feet
Step-by-step explanation:
From the question, Emmanuel sections a part of his house backyard in order to build the rectangular stone patio for his grill. We are told that the length of the base is going to be 3 feet more than the width and the width has been defined as x.
Since the length of the base will be 3 feet more than the width and the width is x. Therefore, the length will be:
Length = x + 3feet
