Answer:
x = 3/4 n
Step-by-step explanation:
-3(x+n)=x
Distribute
-3x-3n = x
Add 3x to each side
-3x-3n+3x= x+3x
3n = 4x
Divide by 4
3/4n = 3x/3
3/4 n = x
Answer:
{y≥1
,{y-x>0
Step-by-step explanation:
First of all you have to consider the shaded region. It is bound by two lines.
The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.
the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is
y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0
y=x if we subtract x from both sides we have
y-x=0
since the shaded region is on the upper side as y-x increases the in equality will be
y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.
Answer:
Half of a ton
Step-by-step explanation:
2/3 of the elevator are already full and the elevator already weighs 1/3 of ton.The elevator needs 1/3 more of people to make the elevator full so that would be half of 1/3 of a ton which is a sixth.So add 1/6 and 1/3 together ams you get 1/2.
(2,-4) is a solution to the equation.
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Exponential Properties
- Exponential Property [Rewrite]:
- Exponential Property [Root Rewrite]:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Multiplied Constant]:
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
<u>Step 2: Differentiate</u>
- Simplify:
- Rewrite [Derivative Property - Multiplied Constant]:
- Rewrite [Exponential Rule - Root Rewrite]:
- Rewrite [Exponential Rule - Rewrite]:
- Derivative Rule [Basic Power Rule]:
- Simplify:
- Rewrite [Exponential Rule - Rewrite]:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation