Answer:
B. x = -1 ± i
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>
- Standard Form: ax² + bx + c = 0
- Factoring
- Quadratic Formula:
<u>Algebra II</u>
- Imaginary Numbers: √-1 = i
Step-by-step explanation:
<u>Step 1: Define</u>
x² + 2x = -2
<u>Step 2: Identify Variables</u>
- Rewrite Quadratic in Standard Form [Addition Property of Equality]: x² + 2x + 2 = 0
- Break up Quadratic: a = 1, b = 2, c = 2
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute in variables [Quadratic Formula]:
- [√Radical] Evaluate exponents:
- Multiply:
- [√Radical] Subtract:
- [√Radical] Factor:
- [√Radicals] Simplify:
- Factor:
- Divide:
Answer:
Step-by-step explanation:
Let
x -----> the number of days
y ----> the total cost in dollars,
we know that
The equation of a linear function in slope intercept form is equal to
where
m is the slope o rate of the linear equation
b is the y-coordinate of the y-intercept
Remember that the y-intercept is the value of y when the value of x is equal to zero
In this problem we have
The slope is equal to the rental cost per day
so
When the number of days is equal to zero (x=0) the total cost is equal to $40 (administrative fee for the cleaning and maintenance of the car)
The y-intercept is the point (0,40)
so
substitute the values
You don’t I really don’t know though you can try
Mick would pay $4.06 in sales tax for an item that costs $58.00.
This can be found by working backwards in the problem. By dividing that sales tax paid (2.94) by the dollars before tax (42), you get a percentage that should equal the percentage of the total paid for tax.
2.94 ÷ 42 = 0.07
This means that the sales tax is 7% of the total prior to tax. So we'd then multiply our dollars (58) with the sales tax in decimal form (0.07)
58.00 × 0.07 = 4.06
Hope I could help!