Answer:
[tex]\displaystyle y' = 4x[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = 2x^2[/tex]
Step 2: Differentiate
Derivative Property [Multiplied Constant]: [tex]\displaystyle y' = 2(x^2)'[/tex]Basic Power Rule: [tex]\displaystyle y' = 4x[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
A line segment AB has the coordinates A (2,3) and B ( 8,11). Answer the following question. What is the slope of AB?
Answer:
4/3
Step-by-step explanation:
(Y2-y1)/(x2-×1) is slope for 2 points
(11-3)/(8-2)
11-3=8
8-2=6
8/6=4/3
Answer: The slope is m = 4/3
Enter the equation of the line in slope-intercept form.
The line perpendicular to y = −2x that passes through (0, 0).
The equation of the line that passes through (0, 0) is y = .
Answer:
The equation is;
y = x/2
Step-by-step explanation:
General form of the equation of a straight line is;
y = mx + c
where m slope
For the given equation , the slope is -2
If two lines are perpendicular, then the product of their slopes is -1
So the slope of the second line will be
-2 * m2 = -1
m2 = -1/-2
m2 = 1/2
Using the point-slope form, we have
y-y1 = m(x-x1)
Here (x1,y1) = (0,0)
y-0 = 1/2(x-0)
y = 1/2x or simply
y = x/2
The diagram below shows a rectangular sheet of cardboard with 2 circular
pieces cut from it. The radius of each of the circular pieces is 3cm. Find the
area of remaining card.
Answer:
Two sector of 90 degree cut out(90*2=180 degree) means semicircle
perimeter of circle= 2πr
= 2*22/7*3=18.85 cm
perimeter of semicircle=18.85/2=9.42 cm approx
A farmer bought a tractor for Rs 400000 and sold it
after 2 years at 10% depreciation rate per year.
What is the cost of tractor after 2 years? Find.
Step-by-step explanation:
Hope my answer helps mark me brainliestSelect the correct answer.
Which equation is equivalent to the formula below?
y = a(x-h)^2+k
Answer:
a=y-k/(x-h)^2
100 POINTS
Find the slope of the line passing through the points , −7−7 and , −36
i will make branlyst.
Answer:
The equation y = -0.24137931034483x – 8.6896551724138, assuming you meant (-36,0).
Step-by-step explanation:
Determine the slope of the line that contains the given points.
T(5, 6), V(8, 8)
a.
0
b.
c.
d.
Answer:
slope = 2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
Write the equation for the line
Answer:
y=4x+3
Step-by-step explanation:
The slope is positive 4 and the y intercept is 3
Answer:
y = 4x + 3
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept
The slope is how much units it goes up/down while how much units it goes left/right from one point to the other. So two points we'll use for reference is (-1, -1) and (0, 3). You want to make sure the points u choose are whole numbers cause they're easier to tell. So the distance between those 2 points if it goes to the right once and goes up 4 units. Left/right is x and up/down is y, y/x is how u write the slope. So it's 4/1 which is just 4
The y-intercept is just where the line intercepts on the y-axis. The line goes through the point 3 on the y-axis, so it's 3
Input the numbers in the equation and it's y = 4x + 3
Please help!!!! Due soon!!
I’ll mark you the brainliest answer! Please
Answer:
3/2 or 1.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
X+2
F(x) +3
Question is attached above.
Answer:
the last one
Step-by-step explanation:
hope this help
this is james
The expression
*3 + 2x2 + x + 6
is equivalent to
x + 2
(3) 2x2 + x + 6
(1) x2 + 3
4
4
(2) x2 +1 +
x + 2
(4) 2x2 + 1 +
+ 2
Answer:
(2) x2+1+4/x+2
Step-by-step explanation:
I hope i am right sorry if i am wrong.
The division of expression will give -
f(x) = x² + 1 + 4/(x + 2)
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
f(x) = (x³ + 2x² + x + 6)/(x + 2)
The given expression is -
f(x) = (x³ + 2x²)/(x + 2) + (x + 6)/(x + 2)
f(x) = x²(x + 2)/(x + 2) + (x + 6)/(x + 2)
f(x) = x² + (x + 6)/(x + 2)
f(x) = x² + (x + 2)/(x + 2) + 4/(x + 2)
f(x) = x² + 1 + 4/(x + 2)
Therefore, the division of expression will give -
f(x) = x² + 1 + 4/(x + 2)
To solve more questions on algebraic expressions, visit the link below -
brainly.com/question/1041084
#SPJ6
Charlie's bill at the diner was $18.75. He left a tip of $3.40. What percentage of a tip did he leave? (Round to the nearest whole number) *
whoever answers this first gets 16 points and a brainliest
Answer:
18.1333%
Step-by-step explanation:
I THINK this is the answer,
list the points in a graph of f where f(x)= -2
equations is f(x)= 3x²-x-2
Answer:
(0,-2), (1/3,-2)
Step-by-step explanation:
Plz, Help me with this question.
Answer:
the answer is 9
Step-by-step explanation: you subtract the two and get ur answer
The schools says they will take the students to see the movie with more than 30% of the votes. Which type of movie will the 7th graders be seeing? Explain your reasoning.
7th grade movie votes:
drama-3
comedy-8
action-4
Work:
Fraction Drama:
Fraction Comedy:
Fraction Action:
Convert to Percent:
Find P(2) when p = 0.60
help pls
Answer:
The answer is 1.2
Step-by-step explanation:
since P is 0.60, you multiply both together to get 1.2
Which of these strategies would eliminate a variable in the system of equations?2x−5y=13
−3x+2y=13
A. Multiply the top equation by 2, multiply the bottom equation by 3, then add the equations.
B. Subtract the bottom equation from the top equation
C. Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Answer:
We conclude that when we multiply the top equation by 3, multiply the bottom equation by 2, then add the equations, it would eliminate the variable 'x'.
Thus, option (C) is true.
Step-by-step explanation:
Given the system of the equation
2x−5y=13
−3x+2y=13
Multiply the top equation by 33(2x−5y) = 3(13)
6x - 15y = 39
Multiply the bottom equation by 22(−3x+2y) = 2(13)
-6x + 4y = 26
Adding both equations
6x - 15y = 39
+
-6x + 4y = 26
___________
0x - 11y = 65
-11y = 65 ∵ x variable eliminates
Divide both sides by -11
y = -65/11
Therefore, we conclude that when we multiply the top equation by 3, multiply the bottom equation by 2, then add the equations, it would eliminate the variable 'x'.
Thus, option (C) is true.
SOMEONE PLEASE HELP WILL MArk BRAINLIEST ‼️‼️
Answer:
y=3x+2
Step-by-step explanation:
Briefly describe this graph of a Ferris wheel.
A graph has time on the x-axis and height on the y-axis. The graph increases and decreases through 4 cycles.
Answer:
As time increases, the height of the person riding the Ferris wheel goes up and down. The Ferris wheel makes 4 rotations. The highest points on the graph are when the Ferris wheel is at its highest height. The lowest points on the graph are when the Ferris wheel is at the starting position.
Step-by-step explanation:
Answer:
The Ferris wheel makes 4 rotations. The maximum points on the graph represent when the Ferris wheel is at the top, and the minimum points on the graph represent when the Ferris wheel is at the bottom. This is what it said
step-by-step explanation:
Sample question endogeneity 2021
Can Someone Tell Me If I will Pass My 7th Period With The Grades I Have for semester 1 A+M1, BT1, FM2, DT2, FSemExam, C+S1 Grade? someone plz tell me
Answer
If u fail the 3 main courses math, ela, and social studies you would fail, but two F's I dont think ur going to fail good luck though
Step-by-step explanation:
Giving brainliest for whoever answer this correctly 10 points!!!
Answer:
A. 0
Step-by-step explanation:
Find the slope of a line parallel to y = 1/2x + 3.
Answer:
The slope is 1/2
Step-by-step explanation:
hope this helps
Answer:
Slope = 1/2
Step-by-step explanation:
Parallel lines have same slope.
Slope = (1/2)
omg pls help its proving the sum of the interior angle measures of a triangle is 180
Answer:
60
Step-by-step explanation:
all angles in a triangle measures 180°
Gwen bought a total of 35 pieces of licorice. She bought 4 times as many red pieces as she did black pieces.
a. Write a system of equations that represents the number of pieces of each kind of licorice that Gwen bought.
b. Solve the system by substitution
c. Interpret the solution
Step-by-step explanation:
The total no of pieces is 35. Let Gwen has B black pieces and R red pieces.
(a) She bought 4 times as many red pieces as she did black pieces. It means,
Red pieces = 4B
Equations that represents the number of pieces of each kind of licorice that Gwen bought are :
R + B = 35 ....(1)
and
R = 4B ....(2)
((b) Put equation (2) in equation (1)
4B + B = 35
5B = 35
B = 7
Put the value of B in equation (2)
R = 4(7) = 28
(c) There are 7 black and 28 red pieces of licorice.
Can you help meh pls
When Earth is tilted towards the Sun we receive BLANK Sun rays
A. Direct
B. Indirect
Answer: i think A. Direct
PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!
Which equation models the trend line?
A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.
x2 + 10 = 6
may i quickly have this answer?
Answer:
If that is [tex]x^{2} +10=6[/tex] then answer is [tex]x=\pm2i[/tex]
If that is [tex]2x+10=6[/tex] then answer is [tex]x=-2[/tex]
a pound of rice crackers cost 2.88 nathan purchased 1/3 pound of crackers how much did he pay for the crackers
Answer:
0.96
Step-by-step explanation:
Answer:
If you're asking how much it would cost then
Nathan purchased 1/3 pounds of crackers for 0.96$
Step-by-step explanation:
4. Anthony makes candies.
First, he mixes 1 cup of cream with 2 cups of chocolate.
In all, he uses 9 cups of these two ingredients.
How many cups of chocolate does he use in this candy recipe?
Explain.
Answer:
6
Step-by-step explanation:
There is 1 cup of cream for every 2 cups of chocolate. That means there are 3 cups of cream and 6 cups of chocolate. Each cup of cream = 2 cups of chocolate, so you would do 3*2 which equals 6
6 + 3 = 9