The function after the transformation has an equation of y = ∛(x - 7) + 5
<h3>How to determine the equation of the transformation?</h3>
The transformation statement is given as
"The cubic function shifts 7 units right and 5 units up."
A cubic function is represented as
y = ∛x
So, the transformations are:
- Shifts 7 units right
- Shift 5 units up
Mathematically, this can be represented as
(x, y) = (x - 7, y + 5)
So, we have the following equation
y = ∛(x - 7) + 5
Hence, the equation of the transformation is y = ∛(x - 7) + 5
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Answer:
b=8
Step-by-step explanation:
7b-7-8b=-15
Combine like terms
-b-7=-15
Add 7 on both sides
-b=-15+7
-b=-8
Divide by -1
b = 8
4 and a half to fill
30 in total minus the ones already used 30 - 18 = 12
A forth of the pages she wants to save which is about 7.5 of the total
12 - 7.5
Means she only has 4.5 pages left to use before she starts using her extra vacation pages
Answer:
Infinite amount of solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -2x + 4
2x + y = 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + (-2x + 4) = 4
- Combine like terms: 4 = 4
Here we see that 4 does indeed equal 4.
∴ the systems of equations has an infinite amount of solutions.