Answer:
y > -5x + 3
Step-by-step explanation:
Answer:
y > –5x + 3
Step-by-step explanation:
we know that
1) The solution of the inequality is the shaded area above the dashed line
so
The linear inequality could be
y > –5x – 3
y > –5x + 3
y > –3x + 5
2) The slope of the dashed line is negative ----> the three options have slope negative
3) The y-intercept of the dashed line is (0,3)
therefore
The linear inequality is
y > –5x + 3
...............................................................................................................................................
Answer:
Step-by-step explanation:
To find the linear inequality , Let pick two points from the graph
Lets pick (0,3) and (1,-2)
Lets find out slope using the points
Slope m= -5
y intercept b= 3
Equation of the line is y=mx+b
Now we look at the shaded part. we use test point (0,0)
(0,0) is not in the shaded region
0 >3 is false
P-81
q-135
r-189
find out how many inches the rope is then divide by 15 total parts then multiply each ratio by that
Answer:
The solution of the exponential equation is
x = 2.996
Step-by-step explanation:
To solve the exponential equation
First, we will isolate by dividing both sides of the equation by 4, so that we get
Now, we will take the ln of both sides of the equation to get
(NOTE: )
Then,
∴ x = 2.996 (to three decimal places)
Hence, the solution of the exponential equation is
x = 2.996
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra II</u>
- Natural logarithms ln and Euler's number e
- Logarithmic Property [Dividing]:
- Logarithmic Property [Exponential]:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
- Implicit Differentiation
Derivative Property [Multiplied Constant]:
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Quotient Rule]:
Derivative Rule [Chain Rule]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<u>Step 2: Rewrite</u>
- [Equality Property] ln both sides:
- Expand [Logarithmic Property - Dividing]:
- Simplify [Logarithmic Property - Exponential]:
<u>Step 3: Differentiate</u>
- Implicit Differentiation:
- Logarithmic Differentiation [Derivative Rule - Chain Rule]:
- Basic Power Rule:
- Simplify:
- Isolate :
- Substitute in <em>y</em> [Derivative]:
- Simplify:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Book: College Calculus 10e