A) 62 -2t < 40 . . . . . t is time in hours
c) 6+3n ≤ 96 . . . . . . n represents the number
e) 4 +2W < 62 . . . . . . W represents the width of the rectangle
f) 3.50 +0.15p ≤ 5.00 . . . . . p is the number of pencils Miranda buys
Answer:
See explanation.
General Formulas and Concepts:
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
<u>Algebra II</u>
<u>Pre-Calculus</u>
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Quotient Rule]:
Parametric Differentiation:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Find Derivative</u>
- [<em>x</em>] Differentiate [Basic Power Rule and Quotient Rule]:
- [<em>y</em>] Differentiate [Basic Power Rule and Quotient Rule]:
- Substitute in variables [Parametric Derivative]:
- [Parametric Derivative] Simplify:
- [Parametric Derivative] Polynomial Long Division:
- [Parametric Derivative] Factor:
Here we see that if we increase our values for <em>t</em>, our derivative would get closer and closer to 0.5 but never actually reaching it. Another way to approach it is to take the limit of the derivative as t approaches to infinity. Hence .
Topic: AP Calculus BC (Calculus I + II)
Unit: Parametrics
Book: College Calculus 10e
Answer:
B.
let the inverse of f(x) be m:
substitute for x in place of m:
The linear function that passes through the point (3, 2) and creates a system of equations with the line below that has no solutions is given by:
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, it creates a system without solutions with the equation:
That is, it has the same slope of m = -2, then:
Since it passes through the point (3,2), we have that:
Hence, the equation is:
More can be learned about linear functions at brainly.com/question/24808124
10 x 28 = 280.
17.50 / 1.75 = 10 gallons.
10 x 28 = 280.
280 + 280 = 560
560 miles.
Hope this helps.