Answer:
(-3, -11)
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>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 7x + 10
y = -4x - 23
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 7x + 10 = -4x - 23
- [Addition Property of Equality] Add 4x on both sides: 11x + 10 = -23
- [Subtraction Property of Equality] Subtract 10 on both sides: 11x = -33
- [Division Property of Equality] Divide 11 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = 7x + 10
- Substitute in <em>x</em>: y = 7(-3) + 10
- Multiply: y = -21 + 10
- Add: y = -11
Answer:
C
Step-by-step explanation:
distance Y <u>multiply </u> 1.0936
Answer:
Step-by-step explanation:
Given the table
The exponential function can be written To find and substitute some values:
When then
When then
Thus,
Check remaining values:
The value of x is x=2.57338 and x=−0.906718
<h3>What is equation?</h3>
An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
3x²-5x-7=0
Using the discriminant method,
a = 3, b = -5, and c = -7
x= -b± √b²-4ac / 2a
x= 5 ± √25 + 84/ 6
x= 5± √ 109
Hence, x=2.57338 and x=−0.906718
Learn more about this concept here:
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