Answer:
1.) 8 People are not expected to pay.
2.) If 12 clients do not pay the day of their appointment it is more than the average person who does not pay on that day.
Step-by-step explanation:
400*.98=392
400-392=8
The average amount of people that do not pay is 8.
Vertex= (6,-5)
y-intercept=(0,175)
(x-6)^2-5=0
(x-6)^2=5
x-6=+- square root 5
x=6+- square root 5
x=8.24, x=3.76
x-intercepts= 8.24 and 3.76
Answer:
x ≈ 53°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify</u>
Opposite Leg of <em>x</em> = 12
Adjacent Leg of <em>x</em> = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [tangent]: sinx° = 12/15
- Trig inverse: x° = sin⁻¹(12/15)
- Evaluate: x = 53.1301°
- Round: x ≈ 53°
Our word problem: <em>$0.20 per text message, $55 for 1,000 minutes of talk time per month."</em>
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Since a person has to pay 20 cents whenever they send a text message, and we do not know how many messages they will send, that is an unknown value, so we will label the number of messages they send as x.
Since they are limited to 1,000 minutes of talk time per month and they have to pay $55, we have to set this as an inequality, since we do not know if they will use up all 1,000 minutes of talk time. We have to use the less than or equal to sign to indicate that they cannot talk more than 1,000 minutes.
≤ 55
Text messages: $0.20x
Talk time: ≤ $55
We cannot put both of these into one expression.
Answer:
m<6 = 45° = D
Step-by-step explanation:
- 4x - 15 = x + 30
- -x -x
- 3x - 15 = 30
- +15 +15
- <u>3x = 45</u>
- 3 3
- x = 15
- m<6 = 4x - 15
- m<6 = 4(15) - 15 = 45