Answer:
Infinite points
General Formulas and Concepts:
<u>Pre-Algebra
</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Functions
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-24x - 4y = -164
y = 41 - 6x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em> [1st Equation]: -24x - 4(41 - 6x) = -164
- [Distributive Property] Distribute -4: -24x - 164 + 24x = -164
- [Addition] Combine like terms: -164 = -164
Here we see that -164 does indeed equal -164.
∴ We have an infinite amount of solutions.
Answer:
- When we are having a rational expression i.e. a expression of the type:
Where f(x) and g(x) are polynomial functions.
Now the domain of this rational expression is whole of the real numbers except the points where the function g(x) will be zero.
Hence we have to exclude the points where the given denominator quantity is zero.
- Let us consider an example as:
Let R(x) denote the rational function as:
Now the domain of this rational function will be whole of the real line minus the points where the denominator is zero.
We know that (x-2)(x-3) is zero when x=2 or x=3.
Hence, the domain of R(x) is: R- {2,3}.
Options :
(A.) y=558-273x (B.) y=264+142x (C.) y = 55.8 +2.79x (D.) y= -26.4-1.42x
Answer:
C.) ŷ = 2.79X + 55.8
Step-by-step explanation:
Given the data:
cost (x): 9 2 3 4 2 5 9 10
Number of products sold: 85 52 55 68 57 86 83 73
Using the online regression calculator to generate a linear regression plot of the given data: the model obtained is given below
ŷ = 2.79X + 55.8
With y being the predicted or dependent variable
Slope or gradient of the line = 2.79
X = the independent variable
55.8 = the intercept.
