Answers
Answer:
Given a function y=f(x) its first derivative – the rate of change of y with respect to x – is defined by: dydx=limh→0[f(x+h)−f(x)h]. Finding the derivative of a function by computing this limit is known as differentiation from first principles
and put the formula answer will be there
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim( h to 0 ) [tex]\frac{\frac{3}{x+h}-\frac{3}{x} }{h}[/tex]
= lim( h to 0 ) [tex]\frac{3x-3(x+h)}{hx(x+h)}[/tex]
= ( lim h to 0 ) [tex]\frac{3x-3x-3h}{hx(x+h)}[/tex]
= lim( h to 0 ) [tex]\frac{-3h}{hx(x+h)}[/tex] ← cancel h on numerator/ denominator
= lim( h to 0 ) [tex]\frac{-3}{x(x+h)}[/tex] ← let h go to zero, then
f'(x) = - [tex]\frac{3}{x^2}[/tex]
Related Questions
Pedro drives the same route to work on Monday through Friday. His route includes one traffic light. According to the local traffic department, there is a 55% chance that the light will be red when he arrives at the intersection on a randomly selected workday. Suppose we choose 10 of Pedro's workdays at random and let Y = the number of times that the light is red.
Answers
Answer:
6 days
Step-by-step explanation:
Given
The proportion can be represented as:
[tex]p = 55\%[/tex]
And the number of days can be represented as:
[tex]n = 10[/tex]
Required
Determine the expected number of times, the light is red
To do this, we simply multiply the proportion by the number of days:
[tex]Y = n * p[/tex]
Substitute values for n and p
[tex]Y = 10 * 55\%[/tex]
Convert percentage to decimal
[tex]Y = 10 * 0.55[/tex]
[tex]Y = 5.5[/tex]
Approximate
[tex]Y = 6[/tex]
Hence, the expected number of days is 6 days
30 points! See pic attached. Will mark brainliest.
Answers
Answer:
Step-by-step explanation:
i think it a c e i hope this helps :^
answer: D,B,C
Step-by-step explanation:
line A is perpendicular to B and line A and B is parallel to line C
A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but
then the store advertised a 30% markdown on the system. Answer parts a and b.
a. Find the current sale price.
The sale price is $0
Round to the nearest cent as needed.)
NEEED HELP ASAP
Answers
Answer: a. The sales price $568.40
b.the price for the club members is $511.56
Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u
Which of the following is true of the data set represented by the box plot?
box plot with point at 16, min at 33, Q1 at 40, median at 52, Q3 at 55, max at 78, and point at 86
The greatest value in the set is 79.
The data is evenly distributed throughout the middle half.
The data has an IQR of 45.
Removing the outliers would not affect the median.
Answers
Answer:
D. Removing all the outliers would not effect the median
Step-by-step explanation:
Among the choices provided above the one that is true of the data set represented by the box plot is Removing the outliers would not affect the median.
(credits to
Maddycolgrove and Answer Expert Verified Brainly User)
convert 4 miles to feet
A. 21,120
B. 21,000
C. 22,000
D. 20,210
Answers
Answer: A. 21,120
Step-by-step explanation: Good luck! :D
A. 21,120
(2x - 5), (2 +30), and (2x – 5)
Solve for x
Answers
A company makes Poppy Lapel Pins.
Each of them costs £1.10 to make.
In October it made 1000 lapel pins.
35% of them are given to charities.
The rest are sold in two formats: 60% of them at £3.00 each
40% of them at £5.00 for 2
Assuming that all the lapel pins will be sold by the end of November,
work out the percentage profit the company should make.
Give your answer to 1 decimal place.
Answers
Answer:
1000 less 35% == 650
so 250 given to charity
total cost making the pins was 1000x 1.10 = 1100
so you need to find 60 percent of 650 =390
and 40 percent of 650 = 260
so then you need to find the cost 390 x 3 pounds each so × this and gives you 1170 cost sold for intotal
Then you have 260 ÷2 = 130 x 5 = 650
so you have 650+1170 = 1820 - 1100 cost to make =720 pounds
think this right
Given g(x)=30-6x, find g(-4)=____?
Answers
Answer:
g(-4)=54
Step-by-step explanation:
g(-4)=30-6(-4)
g(-4)=30+24
g(-4)=54
Julien is baking cookies with his mother.
The recipe calls for:
1 ½ cups of flour
2 ⅔ cups of oatmeal
3 ¼ cups of chocolate chips
1 cup of sugar
½ cup of brown sugar
The only measuring cups that Julien can find are ⅛ cup and ⅓ cup. How will he make the cookies?
Answers
Answer:
well quite easily just doing the math
Step-by-step explanation:
Ta -Da
1 1/2 cups of flour = 12/8 cups of flour
2 2/3 cups of oatmeal = 2 2/3 cups of oatmeal
1 cup sugar = 3/3 or 8/8 cups of sugar
1/2 cup of brown sugar = 4/8 cups of brown sugar
Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket sales. If the club sells 40 tickets in advance, what is the least number of tickets the club needs to sell at the door to reach the president’s goal?
Least number of tickets =
Answers
Answer:
x≥48
Step-by-step explanation:
4×40 = 160
400-160 = 240
240÷5 = 48
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answers
Answer:
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
Step-by-step explanation:
The volume of the cylinder without the prism can be defined as the volume of the entire cylinder ([tex]V_{cy}[/tex]), measured in cubic centimeters, minus the volume of the prism ([tex]V_{pr}[/tex]), measured in cubic centimeters. That is:
[tex]V = V_{cy}-V_{pr }[/tex] (1)
[tex]V = \frac{\pi}{4}\cdot D^{2}\cdot h - l^{2}\cdot h[/tex]
[tex]V = \left(\frac{\pi}{4}\cdot D^{2}-l^{2} \right)\cdot h[/tex] (2)
Where:
[tex]D[/tex] - Diameter of the cylinder, measured in centimeters.
[tex]l[/tex] - Side of the square prism, measured in centimeters.
[tex]h[/tex] - Height of the square prism, measured in centimeters.
If we know that [tex]D = 2\,cm[/tex], [tex]l = 0.6\,cm[/tex] and [tex]h = 6\,cm[/tex], then the volume of the cylinder without the prism is:
[tex]V = \left[\frac{\pi}{4}\cdot (2\,cm)^{2}-(0.6\,cm)^{2} \right]\cdot (6\,cm)[/tex]
[tex]V \approx 16.690\,cm^{3}[/tex]
The volume of the cylinder without the prism is approximately 16.690 cubic centimeters.
y = 2x - 1
y=-3x + 4
Solve the following system of equations for x
Answers
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 1
y = -3x + 4
Step 2: Solve for x
Substitution
Substitute in y: 2x - 1 = -3x + 4Add 3x on both sides: 5x - 1 = 4Add 1 to both sides: 5x = 5Divide 5 on both sides: x = 1Answer:
[tex]y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}[/tex]
x= 1 is the right answer.
Find the equation of the straight line which passes through the point (2,3) and is
inclined at 30° to the positive direction of the x-axis.
Answers
Answer: y = 1.73*x - 0.46
Step-by-step explanation:
For a linear equation of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we have an angle of A degrees with respect to the x-axis, the slope of the function can be calculated as:
Tan(A) = a.
in this case, we have we have an inclination of 30° to the positive x-axis (measured from the positive y-axis) and we know that the angle between the positive x-axis and the positive y-axis is 90°, then the angle measured from the positive axis will be such that:
A + 30° = 90
A = 90° - 30° = 60°
Then the slope is:
a = Tan(60°) = 1.73
Then we have the equation:
y = 1.73*x + b
And we know that this line passes through the point (2, 3) then we can replace x by 2 and y by 3 in the equation, and find the value of b.
3 = 1.73*2 + b
3 - 1.73*2 = b = -0.46
Then the equation is:
y = 1.73*x - 0.46
write the first four terms of the arithmetic sequence given a1=-3 and d=-2
Answers
2) -5
3) -7
4) -9
Explanation:
Arithmetic Sequence Formula
a(n) = a1 + (a - 1) (d)
a= term position
a(n)= nth term
a1= first term
By leading figure estimation, approximate the value of 5 850÷22
Answers
Tell whether the equation has one solution, no solution, or infinitely many solutions. 3x - 7 = 3(x - 3) + 2
Answers
Answer:3x-7=3(x-3)+2
3x-7=3x-9+2
3x-7=3x-7
Group like terms
3x-3x=-7+7
0=0
Step-by-step explanation: the above calculations implies that, the equation has no solution, since all the unknown variables also vanish to zero.
help me out with this so confused
Answers
Answer:
The answer is 3.
Step-by-step explanation:
A rational number means the number can be written as a fraction of two integers. [tex]5\sqrt{9}[/tex]=5*3=15, so it is the only rational number. The other answers cannot be written as a fraction of two integers.
Which is 42.364 written with words?
Answers
If the diameter of a circle is 80m, then what is the radius of the circle
Answers
Answer:
40m
Step-by-step explanation:
Radius is half of diameter
3n - 2n- 6h + 9
Pls help ASAP
Answers
Answer:
n-6h+9
first you subtract the ns from each other because those are the only like terms
So first you get all the like terms together from calculating the addition sequence here from their coefficients
So
(3-2-6)x+9
Now you calculate the difference in the parenthesis
-5x+9 is your answer and you leave it like that because you can’t really do anything else just leave it how it is
please please please help
Answers
Answer:
See below.
Step-by-step explanation:
Slope of parallel line is -3/2.
Slope of perpendicular line is 2/3
see below
step-by-step explanation
slope of parallel lines is -3/2.
Slope of Perpendicular line is 2/3.
Kim drives 156 miles from rotherman to London she drives the average speed of 60 miles per hour
Answers
Answer:
2 hours and 36 minutes
Step-by-step explanation:
156/60 hours=2.6 hours. i.e. it takes her 2 hours and 36 minutes to reach from Rotherham to London
24/80 expressed as percent rounded to the nearest whole number is?
Answers
Answer:
0.3
Step-by-step explanation:
3/10
3x10^-1
Use SUBSTITUTION to solve the system
y=4x
2y-2x=12
Answers
y
=
2
x
−
10
y=2x−10 into
y
=
4
x
−
8
y=4x−8.
2
x
−
10
=
4
x
−
8
2x−10=4x−8
2 Solve for
x
x in
2
x
−
10
=
4
x
−
8
2x−10=4x−8.
x
=
−
1
x=−1
3 Substitute
x
=
−
1
x=−1 into
y
=
2
x
−
10
y=2x−10.
y
=
−
12
y=−12
4 Therefore,
x
=
−
1
y
=
−
12
x=−1
y=−12
describe the horizontal and/or vertical shifts used to transform the equation y=|x| to the equation y=|x|+4
Answers
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Answers
x=5
so 5 is the answer!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!JJ
Answers
Answer:
its
Step-by-step explanation:
i cant explane
Help pls yall i will give brainliest
Answers
Answer:
B.
Step-by-step explanation:
.......... .. ........ I..
Answers
Please help me lol!!!!!!
Answers
Answer:
A
Step-by-step explanation: