For an expression to have a rational equivalent when solved, the denominator should not be equal to 0. If the denominator is equal to zero, the expression becomes indefinite or undetermined. This is the reason for the restriction of the use of x being equal to 3 or -10.
In the given above, we can see that the expression x-3 appears both in the numerator and denominator. Hence, this can be cancelled. We are then left with the expression,
(x + 5) / (x + 10)
Therefore, the answer to this item is letter C.
Answer:
Model A
Step-by-step explanation:
Given the table :
___________M 1 ____ M 2 ____ M 3 ____M 4
Multiple R _ 0.993 ___ 0.991 ___0.936__ 0.746
R Square __0.987___ 0.982 ___0.877 __0.557
Adj R² ____ 0.982___ 0.978 __ 0.849 ___0.513
S E_______ 4,043 __ 4,463 ___11,615 __20,878 Observations_ 12 _____ 12 _____ 12 ____12
Based on the detains of the model given, we could use the R value, R² and standard error values to evaluate the performance of the different models.
The best model will be one with Correlation Coefficient (R value) closet to 1. The model with the highest R value will also have the highest Coefficient of determination, R² value. The a best model is one which has a low a standard error value.
From the table, Model A has the highest R and R² values. It also has the lowest standard error value. Hence, we can conclude that model A provides the best fit.
The value of x in the equation is 26. 087
<h3>What are algebraic expressions?</h3>
Algebraic expressions are defined as expressions made up of terms, constants, coefficients, factors and variables.
They may also include certain mathematical or arithmetic operations which includes;
- Bracket
- Division
- Addition
- Subtraction
- Parentheses
- Multiplication and so on
Given the equation;
(0.020) (0.030) / (0.10)x = 2.3 × 10-4
We can simply the equation following the steps;
expand the brackets, we have;
6× 10^-4/ 0.10x = 2.3 × 10^-4
Now, cross multiply
0.10x × 2.3 × 10^-4 = 6× 10^-4
Divide both sides by 2.3 × 10^-4
0. 10x = 6× 10^-4/2.3 × 10^-4
Find the quotient
0. 10x = 2. 608
Let's make the variable 'x' by dividing both sides by it's coefficient
0. 10x/0.10 = 2. 608/0. 10
x = 26. 087
Hence, the value is 26. 087
Learn more about algebraic expressions here:
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Answer:
$2.70
Step-by-step explanation:
2.25*1.2 = 2.7
✿ Domain is the Set of Values of x
⇒ Domain = { 10 , 15 , 19 , 32 }
✿ Range is the Set of Values of y (Images of x)
⇒ Range = { -1 , 5 , 9 }
First Option is the Answer
