Answers
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{x+h+\frac{1}{x+h }-(x+\frac{1}{x} ) }{h}[/tex]
= lim(h to 0) [tex]\frac{x+h+\frac{1}{x+h}-x-\frac{1}{x} }{h}[/tex]
= (lim(h to 0) [tex]\frac{h+\frac{1}{x+h}-\frac{1}{x} }{h}[/tex]
= lim( h to 0 ) [tex]\frac{hx(x+h)+x-(x+h)}{hx(x+h)}[/tex]
= lim( h to 0 ) [tex]\frac{hx(x+h)+x-x-h}{hx(x+h)}[/tex]
= lim(h to 0 ) [tex]\frac{hx(x+h)}{hx(x+h)}[/tex] - [tex]\frac{h}{hx(x+h)}[/tex]
Cancel the numerator/denominator of first fraction and h in the second
= lim ( h to 0 ) 1 - [tex]\frac{1}{x(x+h)}[/tex] ( let h go to zero ), then
f'(x) = 1 - [tex]\frac{1}{x^2}[/tex]
Related Questions
What's the answers to Part A and Part B?
Answers
Answer:
there's nothing there
Step-by-step explanation:
Solve for x in the literal equation −4 = xy + z.
Answers
Answer:
x = (-4 - z)/y
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 EqualityStep-by-step explanation:
Step 1: Define
-4 = xy + z
Step 2: Solve for x
Subtract z on both sides: -4 - z = xyDivide y on both sides: (-4 - z)/y = xRewrite: x = (-4 - z)/yBozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t tt, in years, since Bozena started studying the population, and the number of tigers, N ( t ) N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function: N(t)=537⋅(0.35)t2 Complete the following sentence about the rate of change in the tiger population. The population of tigers loses 65 % 65%65, percent of its size every years.
Answers
Answer:
every 2 years
Step-by-step explanation:
since it is t/2 for the exponent - thas the answer on khan
The rate of change in the population of the Siberian tigers loses 65% every two years.
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Bozena started studying the population, and the number of tigers, N(t), is modeled by the following function:
[tex]\rm N(t)=537\times (0.35)^{t/2}[/tex]
Then it is clear that the population of the Siberian tigers loses 65% of its size every two years.
More about the exponent link is given below.
https://brainly.com/question/5497425
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Evaluate (x + y)for x= -3 and y= 5.
A.-1/2
B.0
C.1
D.2
Answers
Proof:
(-3 + 5 = 2)
Y-4x=3 in slope intercept form
Answers
Step-by-step explanation:
y - 4x = 3
Writing in slope intercept form that is y = mx + c
y = 4x + 3
Hope it will help :)
Answer: y=4x+3
Step-by-step explanation:
And four to both sides and the left side is left with y and the right side is left with 4x+3
Tonya buys a new Fujifilm Instax Mini for a price of $54.95. What is the total amount her credit card is charged if the sales tax is 7.25%
Answers
Answer:
Step-by-step explanation:58.93
PLEASE HELPPP!!!Which function passes through the points 2,15 and 3,26?
Answers
Answer:
B. y = 11x - 7
Step-by-step explanation:
first we find the slope by using the formula
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
Now let (2,15) be [tex](x_{1}, y_{1} )[/tex] , and (3, 26) be [tex](x_{2} , y_{2} )[/tex]. So now the slope is equal too.....
[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }= \frac{26 - 15}{3-2} = \frac{11}{1} = 11[/tex]
Now we use the slope-point form of the equation and obtain the following....
[tex]y - y_{1} = m(x - x_{1} )\\y - 15 = 11(x - 2)\\y - 15= 11x -22\\y = 11x - 22 + 15\\y = 11x - 7[/tex]
Sheldon also picks tomatoes from his garden. He picked 5 3 10kg, but 1.5 kg were rotten and had to be thrown away. How many kilograms of tomatoes were not rotten? Write an equation that shows how you reached your answer.
Answers
Answer:
3.8 kg
Step-by-step explanation:
Total kg of tomato = 5 3/10
Kilograms of rotten tomato = 1.5 kg
Kilogram of tomato tht were not rotten :
5 3/10kg - 1.5kg
= 5.3 - 1.5
= 3.8 kg
HELP ASAP
The blue triangle is dilated to the red triangle from the
dilation point of (0,0). What is the zoom factor?
Submit and Explain
15
Answers
Answer: Scale Factor = 3
Step-by-step explanation:
The top side of the blue triangle is equal to 2 and the top side of the red triangle is equal to 6. Therefore you hav to divide 6 by 2 to give you the scale factor which is 3. (Sorry I do not know if zoom factor is the same as scale factor)
Which statement correctly identifies the line of reflection?
Vx
4
3
-6-5-4-3
2
5 6
X
ON
O The triangles are reflected across the x-axis.
O The triangles are reflected across the y-axis.
O The triangles are reflected across the line y = x
O The triangles are reflected across the line y = -x
Mark this and return
Next
Submit
Answers
Answer: C: The triangles are reflected across the line y = x.
Step-by-step explanation: I got right on edge.
A snail climbs to the top of a coconut tree 18 meters high. In an hour it will climb 2 meters. But if it go 2 meters, it will slips down one meter. Then how long does it take for the snaik to reach the top of the coconut?
Answers
Answer:
The snail will reach the top of the coconut in 18 hours.
Step-by-step explanation:
If the snail will climb 2 meters in 1 hour but it will slip down one meter for every 2 meters climbed, then the distance traveled will be:
[tex] d = 2 m - 1 m = 1 m [/tex]
Since in 1 hour, it climbs 2 meters minus 1 meter, the time in which the snail will reach the top is:
[tex] t = \frac{1 h}{1 m}*18 m = 18 h [/tex]
Therefore, the snail will reach the top of the coconut in 18 hours.
I hope it helps you!
Caleb rides his horse with a constant speed of 10 miles per hour. How long will he take to travel a distance of 15 miles?
Answers
Answer:
1 hour and 30 minutes
Step-by-step explanation:
Answer:
1 hour and 30 minutes
Step-by-step explanation:
15 is 10+1/210 1/2 is also known as 1515 miles at a constant of 10 miles per hour then equals 1 hour and a half 1 hour and 30 minutesIs 45 a multiple of 4? Explain your answer (20 point offer)
Answers
Answer:
The multiples of 4 are: 4,8,12,16,20,24,28,32,36,40,44,.
Step-by-step explanation:
so no
Answer:
No
Step-by-step explanation:
A multiple of x is any number that is in the form kx, where k is any integer
Therefore 45/4 should be an integer if it is a multiple.
45/4 = 11.25, which is not an integer
It rained 0.72 inches on Monday. On Tuesday, it rained 0.34 inches less than on Monday.
How much did it rain on Tuesday?
Answers
Answer:0.38 inch
Step-by-step explanation: If it rains 0.72 inch on Monday and on Tuesday it rains 0.34 less inch then, you would have to subtract them to get 0.38 inch aka answer.
Answer: The answer is 0.38 inches
Step-by-step explanation:
The question said that on Tuesday, it rain 0.34 less than on Monday which mean to subtract. Therefore, 0.72-0.34=0.38 inches.
I hope it helps :)
Find the value of x in the given right triangle
X= ?
Answers
Answer:
7.5 is the answer to the question
Step-by-step explanation:
using tan
what is the equation of a line that is perpendicular to the line whose equation is Y=3/5x-2 and that passes through the point (3,-6)?
Answers
The equation of the line that is perpendicular to the line whose equation is Y=3/5x-2 and that passes through the point (3,-6) is; y=-5/3x-1
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Where x₁ - x coordinate, y₁ - y coordinate, m - slope
Point (3,-6)
Then perpendicular line whose equation is Y=3/5x-2
Slope m = -3/5
Now Write the equation as;
y=-5/3x-1
Hence, the equation of the line that is perpendicular to the line whose equation is Y=3/5x-2 and that passes through the point (3,-6) is; y=-5/3x-1
Learn more about equations here;
brainly.com/question/25180086
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The cost before tax for an order of CDs from Music & More store was $214.60. If the store ordered 20 equally priced CDs, and the total shipping and handling fee was $15.00, what was the cost of one CD?
Answers
Answer:
Cost of one CD = $9.98
Step-by-step explanation:
Total cost = $214.60
Total shipping and handling fee = $15.00
Number of CDs = 20
Cost of 20 CDs = Total cost - Total shipping and handling fee
= $214.60 - $15.00
= $199.60
Cost of one CD = $199.60 / 20
= $9.98
Cost of one CD = $9.98
Answer:
$9.98
Step-by-step explanation:
took a test and got the question right (this was the answer)
Jackie has already baked 17 pies, and she can bake 1 pie with each additional cup of sugar she buys.
With 18 additional cups of sugar, how many total pies can Jackie bake?
Answers
Answer:
35 pies
Step-by-step explanation:
17 + 18 = 35 pies
18 cups of sugar = 18 pies
please solve the given equation
Answers
Answer:
noooooooooooooo to show and see
EASY I'LL GIVE BRAINLIEST!!!!
Write an equation in two variables that shows the relationship between the time(t) and the distance(d) travelled.
Moves right 2 meters
every 3 hours.
Answers
Answer:
d= 2/3t
Step-by-step explanation:
There was 20 coins and 4 bags and you have to put all the coins to make it even in all 4 bags how many coins go in each bag?
Answers
Answer:
5
Step-by-step explanation:
20/4 = 5
What is the function g(x) created from f(x) = x2 by moving the graph left 2 units, adding vertical compression by a factor of 7, and
shifting the graph up 3 units?
A)
g(x) = 2(x +
B)
+ 1)2+3
g(x) = } (x - 2)2 + 3
- 1 x + 2)2+3
g(x) =
D)
g(x) = 3(x + 2)2 + 1
Answers
Answer:
g(x)=(1/7) (x+2)²+3
Step-by-step explanation:
I can't clearly recognize what are your A,B,C,D, but I think your equation should be like g(x)=(1/7) (x+2)²+3
The product of 25/-15 x 9 is
PLS I NEED THIS ASAPP
Answers
Answer:
-15
Step-by-step explanation:
25/-15×9
=5/-3×9
=5×-3
=-15
Step-by-step explanation:
[tex] \frac{25}{ - 15} \times 9 \\ = -15[/tex]
If y = 4x + 3 is changed to y = 7x-1, how would the graph of the new function compare with the first
one? Describe its steepness and how it might shift.
Answers
Can yall pls help with this
Answers
Answer:
x=7
Step-by-step explanation:
Ms. Martinez has a class of 16 students. She can spend $17 on each student to buy math supplies for the year. She first buys all of her students calculators,
which costs a total of $89.76. After buying the calculators, how much does she have left to spend on each student?
su
Answers
Answer:
none
Step-by-step explanation:
Quadrilateral ABCD is a kite with an area of 14 cm?. The length
of ED is 5 cm. What is the length of BE?
B
E
2 cm
С
2 cm
5 cm
(not drawn to scale)
D
A
7 cm
B
2 cm
С
4 cm
D 3 cm
Answers
Dave found the blueprint of his house. It shows the hallway is 4 inches long. If the scale factor is 1 inch: 1.25 feet, then what is the length of the hallway in real life?
Answers
Answer:
5 feet
Step-by-step explanation:
The scale factor = 1 inch: 1.25 feet
The length of the Hally = 4 inches
The length of the hallway in real life is calculated as:
1 inch = 1.25 feet
4 inches = x feet
Cross Multiply
x feet = 4 × 1.25 feet
x feet = 5 feet
Therefore, the length of the Hallway in real life is 5 feet
An isosceles triangle has angle measures of (2x degrees) and (5x degrees). What are three possible angle measures of the triangle? Show all work.
Answers
Answer:
[tex]40^{\circ},\:40^{\circ},\: 100^{\circ}[/tex]
Step-by-step explanation:
The interior angles of any triangle always add up to [tex]180^{\circ}[/tex]. In an isosceles triangle, (at least) two sides are congruent and therefore their base angles are also congruent. We can then form the following equation:
[tex]2x+2x+5x=180[/tex], where [tex]x[/tex] is some constant.
Solving, we get:
[tex]9x=180,\\x=20[/tex]
Therefore, plugging our constant back in, our angles are:
[tex]2(20),\: 2(20), \: 5(20), \\\fbox{$40^{\circ},\:40^{\circ},\: 100^{\circ}$}[/tex].
Note this is only one group of possible angles. We could've also set the angle represented by [tex]5x[/tex] to be the pair of angles that are congruent, and depending on your definition of isosceles, each angle measure could be [tex]60^{\circ}[/tex] (equilateral).
Answer:
100, 40, 40
Step-by-step explanation:
First, do 2x+2x+5x because an isosceles triangle has two equal angles. We know that a triangle's total angle is 180 degrees so we do 180/9=20 x=20. Then multiply 2 by 20 to get 40. Then multiply 5 by 20 to get 100. So you get 40 40 100.
Which is equivalent to 80*
80
V80"
a
V80
80
Mark this and return