Answer:
x^2-x+3 (r -2)
Step-by-step explanation:
x^3+2x^2+7 / x+3
-3 | 1 2 0 7
-3 3 -9
_________
1 -1 3 -2
This means x^2-x+3 with a remainder of -2
The given rational functions is graphed in the figure is Option B. f(x) = 1/ ( x-2) (x + 5) is correct.
<h3>What is a function?</h3>
The function is a type of relation, or rule, that maps one input to specific single output.
Here, a graph is given.
We need to find which of the given rational functions is graphed in the figure.
On x-axis, 1 unit = 2 units
Clearly, we can see the graph is not defined at point x = 2 and at x = -5.
Corresponding to x = 2, factor is (x - 2) .
Corresponding to x = -5, factor is (x + 5) .
So, this graph is of the rational fraction
Hence, Option B. f(x) = 1/ ( x-2) (x + 5) is correct.
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Well, from looking at the numbers listed, they’re all multiplied by -2, (negative two) and so on, as you go through the number sequence.
Setup
45t = 40t + 60
5t = 60
t = 12
car A = 45 * 12 = 540 mi
car B = 40 * 12 = 480 mi
109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.
<h3>Find the required expression:</h3>
- Algebraic expression is made up of numbers, operations and variables.
- Algebraic expression is true for all values of x.
- For example, 2x, 5x + 9 etc.
Given that,
A parent made x cupcakes for each of the 109 students in the fourth grade.
The total number of students in the class = 109
The number of cupcakes one student gets = 1 × x = x
⇒ The number of cupcakes 109 student gets = 109 × x = 109x
Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.
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