Use first principal to determine the equation of tangent to f(x)= 3x^2-6 Answer please
Answers
Answer:
final answer:
y-1= 3x_6
To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.
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Related Questions
Which of the following are considered income?
Select all that apply.
student loan interest
wages
credit card interest
allowance
Answers
Answer:
Wages
Step-by-step explanation:
Answer:
2. Wages
4. Allowance
Step-by-step explanation:
very simple question I wish I saw this earlier so I could help. Can I please get brainliest.
尺蛾翅蛾。(thank you.)
11 over 7=6 over v what is v
Answers
Answer:
42/11
Step-by-step explanation:
11/7 = 6/v
cross multiply:
11v = 6x7 = 42.
v = 42/11 ≈ 3.81
What is x3+y3+z3? I need help please.
Answers
x^3 + y^3 + z^3
Cannot be fully factored because it is already in it's most simplistic form.
But, I can halfway factor it, which is
(x+y+z)^3 - 3( yx^2 + zx^2 + xz^2 + yz^2 + xy^2 + zy^2 + 2xyz )
PLEASE HELP, WILL MARK BRAINLIST----- A building is 250 ft by 120 ft. If you were to draw this building using a scale of 1 in. 5 20 ft, what would the dimensions of your drawing be?
Answers
Answer:
12.5 in by 6 in
Step-by-step explanation:
The dimensions would be 250 / 20 = 12.5 inches by 120 / 20 = 6 inches.
Each of the six letters stands for a different number, 1 through 9. Using the three clues, can you deduce the number represented by each letter?
A B C
D E F
B x C = A + D
The total of each row is 16.
The sum of the first two columns is the same, and the sum of the rightmost column is 12.
Answers
Answer:
A = 9
B = 2
C = 5
D = 1
E = 8
F = 7
Step-by-step explanation:
A 9 B 2 C 5 = 16
D 1 E 8 F 7 = 16
10 10 12
BxC (2x5) = 10
A+D (9+1) = 10
What numbers (from 2 to 10) divide evenly into 120
Answers
Answer: 1, 2, 3, 4, 5, 6, 8, 10
Step-by-step explanation:
120 ÷ 1 = 120
120 ÷ 2 = 60
120 ÷ 3 = 40
120 ÷ 4 = 30
120 ÷ 5 = 24
120 ÷ 6 = 20
120 ÷ 8 = 15
120 ÷ 10 = 12
A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
Answers
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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Write an equation of the line that passes through (0, -1) and is perpendicular to the line y = 1/9x + 2
An equation of the perpendicular line is y =
Answers
The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.
To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.
The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.
Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.
y = -9x + b
Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:
-1 = -9(0) + b
-1 = b
Therefore, the y-intercept (b) of the perpendicular line is -1.
Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:
y = -9x - 1
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In the diagram below BD parallel to XY. What is the value of 2
Answers
Answer:69
Step-by-step explanation: Because I am smart
The nth term of a sequence is 7- 5n. What is the 90th term?
Answers
Answer:
-443 is the 90th term
Step-by-step explanation:
n=90th
Given: 7-5n
> 7-5(90)
> 7-450
> -443
What is the equation of the line that is parallel to the line represented in the table and goes through the point (-10, -2)?
Answers
Answer:
y = -3/2x - 17
Step-by-step explanation:
First you need to find the slope, since the lines are parallel the slopes would be the same as points of the other line on the table. When finding the slope you get -3/2, when you have the slope you need to find the y-intercept or in other words in y=mx+b, the "b" in the equation. In order to find the y-intercept you have to plug in the values of the point (-10,-2) so then the equation would look like -2 = -3/2(-10) + b. Then you would solve for b. Then when you put the components together you get y = -3/2x - 17.
In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that _____.
a. there is no correlation between x and y
b. there is a negative correlation between x and y
c. there is a positive correlation between x and y
d. the y-intercept is 0
Answers
Answer:
c. there is a positive correlation in-between x and y
Step-by-step explanation:
A regression line is a line that suggests that all the points in a scatter diagram lie on or near one particular line. In a simple regression analysis in which y is the dependent variable and x is the independent variable. If the slope is positive, the bivariate data is also said to have a positive correlation. The positive correlation in-between two variables x and y implies that in general, an increase in x goes hand in hand with an increase in y.
Regression Analysis is defined as the set of statistical and reliable processes for establishing the relationship between the independent and dependent variables.
The correct statement can be given as:
In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that there is a positive correlation between x and y.
The regression line suggests that all the points lie near a particular line. It can be explained as:
1. In a simple regression analysis, the dependent variable is y.
2. Similarly, the independent variable is x.
3. Given, if the slope is positive, then the correlation will be positive.
4. The positive relation implies that if x increases then they will also increase in simple regression analysis.
Thus, in the simple regression analysis there exists a positive correlation between x and y.
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Which list shows how many equal sized groups of 28 students Ms. Lee can make
Answers
Answer:
1,2,4,7,14, or 28
Step-by-step explanation:
I got it right
Dylan and Eric were the lead scorers in a basketball game. Dylan scored p points in the second period of the game. Eric scored as many points as Dylan in the same period of the game. a) Write an expression for Eric's score in terms of p. points b) If Dylan scored 18 points in the second period, how many points did Eric score?
Answers
I think the answers 3048_&8_9_)_)_
19. Which repon(s) represent students that enjoy wimming and tennis?TennisSwimmingAFHikingA BBDC. (BAND D)D. IA AND C)
Answers
To determine the regions that represent the students that enjoy swimming and tennis, we need to determine the intersection between the Swimming group and the Tennis group. This intersection is represented by the groups B and D. The correct answer is C.
Solve the system of equations by elimination. Explain your reasoning or show your work.
Answers
9514 1404 393
Answer:
(x, y) = (5, 4)
Step-by-step explanation:
Subtracting the second equation from the first eliminates the x term.
(4x +6y) -(4x +2y) = (44) -(28)
4y = 16 . . . . simplify
y = 4
Using the second equation to find x, we have ...
4x +2(4) = 28
x + 2 = 7 . . . . . . divide by 4
x = 5 . . . . . . . . . subtract 2
The solution is (x, y) = (5, 4).
Determine whether or not the given set is (a) open, (b) connected, and (c) simply-connected. 31. {(x, y) | 0
Answers
This set {(x, y) | 0 is (a) open, (b) connected, and (c) not simply-connected.
(a) Open: This set is open because all points within the set have a neighborhood that is also within the set.
(b) Connected: This set is connected because there is a path between any two points in the set that does not leave the set.
(c) Not simply-connected: This set is not simply-connected because it contains a hole in the center, which is not a simply-connected space.
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If A = {1, 4, 5, 6, 7}, B={1, 2, 5, 8, 9} and C={3, 4, 5}
Then find A∪ B ∪ C
Answers
Answer:
A U B U C = {1,2,3,4,5,6,7,8,9}
Step-by-step explanation:
This is the correct form
Answer:
A={1,4,5,6,7}
B={1,2,5,8,9}
C={3,4,5}
AUBUC= all elements of A,B,C
={1,2,3,4,5,6,7,8,9}
express 25 as a power with base 5
Answers
Answer: 5
Step-by-step explanation:
Answer:
5^2 or 5 to the power of 2
Step-by-step explanation:
5x5=25
On average, teens spend 4 hours a week using the Internet and 4 hours doing chores. They spend 10 hours listening to the radio. What percent of the total time teens spend using the Internet and doing chores is the time they spend listening to the radio?
Answers
The percent of the total time teens spend using the Internet and doing chores is the time they spend listening to the radio is 55.56%.
How the percentage is calculatedTime spent using the internet = 4 hours
Time spent doing chores = 4 hours
The time spent listening to the radio = 10 hours
The total time spent during the week is 4 + 4 + 10 = 18 hours
The percentage of this total time that is spent listening to the radio is:
(10 hours / 18 hours) x 100% =55.56%
This is basic arithmetic operations and is used in calculation of numbers.
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how can we solve them using the appropriate method of differential equation:
1. ( 1 + x^4 ) dy + x ( 1 + y^2 ) dx = 0
2. xy dx - x^2 dy = y sqrt( x^2 y^2 ) dy
Answers
Answer:
i need help too im ay m sad now
one car takes half a minute to complete a circuit.
the other car takes 1 minute and 10 seconds to complete a circuit.
if they start side by side, how long will it be before they are next side by side on the start line? state the units in your answer!
please help me I just need the answer
Answers
Answer:
7 laps
Step-by-step explanation:
Rolling is a combination of linear and rotating motion. When a wheel makes one full rotation, it moves
forward a distance equal to the wheel's circumference.
a. A child's first bicycle has 12-inch tires. These tires have a 6-inch radius. How far does the bicycle move
forward each time the wheel makes one complete rotation? Give your answer in meters.
(1 inch = 0.022 meters)
b. A woman's ten-speed bicycle has 27-inch tires (13.5-inch radius). How far does this bicycle move
forward each time the wheel makes one complete rotation? Give your answer in meters.
6C Circular Motion
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Backnd Practice
c. How many times does the child's bicycle tire have to rotate for the bicycle to travel 1 kilometer?
d. How many times does the woman's bicycle tire have to rotate for the bicycle to travel 1 kilometer?
A wheel moves forward one circumference in one rotation
Contact
point
Circumference
of wheel
Answers
a. The distance is 0.829 meters.
b. The distance is 1.86735 meters.
c. The times the child's bicycle tire must rotate to travel 1 kilometer is 26.53 times
d. The number of rotation is 12.589.
How to calculate the valuea. Given that the radius of the child's bicycle tire is 6 inches, we can substitute the values into the formula:
Circumference = 2 * π * 6 inches
To convert inches to meters, we use the conversion factor: 1 inch = 0.022 meters
Distance = 2 * π * 6 inches * 0.022 meters/inch
= 0.829 meters.
b. Similarly, for the woman's ten-speed bicycle with 13.5-inch radius:
Distance = 2 * π * 13.5 inches * 0.022 meters/inch
= 1.86735 meters.
c. To calculate how many times the child's bicycle tire must rotate to travel 1 kilometer, we need to convert 1 kilometer to inches and then divide it by the circumference of the tire.
1 kilometer = 1000 meters
1 meter = 1/0.022 inches
So, 1 kilometer = 1000 * (1/0.022) inches
Number of rotations = (1000 * (1/0.022) inches) / (2 * π * 6 inches)
= 26.53
d. Similarly, for the woman's bicycle tire:
Number of rotations = (1000 * (1/0.022) inches) / (2 * π * 13.5 inches)
= 12.589.
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Question Help
Challenge Last month, Dani's neighbors paid her to take care of their fish when they went on
vacation. She spent $4 of her earnings on an afternoon snack and $12 on a new book. Afterward,
she had at most $7 left. How can you best describe how much Dani's neighbors paid her?
Select the correct choice below and fill in the answer box to complete your choice
Answers
Answer:
They paid her $23 at most
Step-by-step explanation: 4+12+7=23
p(x)=5x^4+7x^3-2x^2-3x+c divided by (x+1)
Answers
The remainder is 5 + c, which means that the expression P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) divided by (x + 1) results in a quotient of\(5x^3 + 2x^2 - 4x + 4\) and a remainder of 5 + c.
To divide the polynomial P(x) = \(5x^4 + 7x^3 - 2x^2 - 3x + c\) by the binomial (x + 1), we can use polynomial long division.
Let's set up the long division:
\(5x^3 + 2x^2 - 4x + 4\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
We start by dividing the highest degree term of the dividend (5x^4) by the divisor (x + 1), which gives us 5x^3. We then multiply this quotient by the divisor (x + 1) and subtract it from the dividend:
\(5x^3(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- (\(5x^3 + 5x^2)\)
This leaves us with a new polynomial:\(2x^3 - 7x^2 - 3x + c\). We repeat the process by dividing the highest degree term of this polynomial (2x^3) by the divisor (x + 1), resulting in 2x^2. We then multiply this quotient by the divisor and subtract it from the polynomial:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
-\((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
We continue this process until we reach the constant term, resulting in the remainder of the division.
At this point, we have:
\(5x^3(x + 1) + 2x^2(x + 1)\)
_______________________
x + 1 | \(5x^4 + 7x^3 - 2x^2 - 3x + c\)
- \((5x^3 + 5x^2)\)
_______________________
\(2x^2 - 3x + c\)
-\((2x^2 + 2x)\)
_______________________
- 5x + c
- (-5x - 5)
_______________________
5 + c
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Which of the following numbers is equivalent to
√48?
Answers
Answer: you forgot attachment
Step-by-step explanation:
But since you didn’t include an answer it could also be 7 or maybe 6.930
Sofia is 4 years younger than Mark. David is 7 years older than Mark. How old will Sofia be when David is 30 years old? please answer
Answers
Answer:
Sofia will be 19 years old
Step-by-step explanation:
First:
What know that David is 30 right now.
David=30
We also know that David is 7 years older than Mark, meaning that David-7=Mark
30-7=23 -Mark
And last we know that Mark is 4 years older than Sofia So we would do 23-4 to get Sofia age,
23-4=19 -Sofia
So in conclusion...
SOFIA: 19
MARK: 23
DAVID: 30
What is the name of a polygon that has three sides and three equal angles
Answers
Answer:
equilateral triangle
Step-by-step explanation:
equilateral triangle
A triangle: An equilateral triangle is a regular polygon with three equal side lengths and three equal angles.
A rectangle with length of 9 centimeters and width of 5 centimeters. The perimeter of the rectangle is cm. If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions are . The perimeter of the new rectangle is ✔ 168 cm. When comparing the new perimeter to the original perimeter, the new perimeter is .
Answers
The perimeter of the new rectangle is 150 cm more than the original perimeter.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle with a length of 9 centimeters and a width of 5 centimeters.
The perimeter of the rectangle will be
Perimeter = 2 (9 + 5)
Perimeter = 2(14)
Perimeter = 28
If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions will be
Length = 6 × 9 = 54 cm
Width = 6 × 5 = 30 cm
The perimeter of the new rectangle is 168 cm.
When comparing the new perimeter to the original perimeter, the new perimeter will be
→ New perimeter - original perimeter
→ 168 - 28
→ 150
The perimeter of the new rectangle is 150 cm more than the original perimeter.
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Answer:
1. C
2. D
3. D
4. B
Step-by-step explanation:
Line r has a slope of -6. Line s is parallel to line r. What is the slope of line s?
Thank you.
Answers
Answer:
-6
Step-by-step explanation:
Because two lines that are parallel have the same slope