Given f (x) = 1/x+11, find the average rate of change of f (x) on the interval [3, 3+h]. Your answer will be an expression involving h.
The average rate of change of the function in the interval is of:
[tex]A = -\frac{1}{14(14 + h)}[/tex]
What is the average rate of change?The average rate of change of a function f(x) over an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this problem:
The interval is [3, 3 + h], hence [tex]a = 3, b = 3 + h[/tex].[tex]f(3) = \frac{1}{3 + 11} = \frac{1}{14}[/tex][tex]f(3 + h) = \frac{1}{3 + h + 11} = \frac{1}{14 + h}[/tex]Then:
[tex]f(b) - f(a) = \frac{1}{14 + h} - \frac{1}{14} = \frac{14 - 14 - h}{14(14 + h)} = -\frac{h}{14(14 + h)}[/tex]
[tex]A = \frac{-\frac{h}{14(14 + h)}}{3 + h - 3} = -\frac{-\frac{h}{14(14 + h)}}{h} = -\frac{1}{14(14 + h)}[/tex]
You can learn more about the average rate of change at https://brainly.com/question/7501987
Somebody please help!
Answer:
3x-4y
Step-by-step explanation:
You need to simplify the equation. Because you can only add numbers with same variable, add 2x and x together to get 3x. Since 3x and -4y have different variables, they can't be added together, so this is the simplest form of the equation. JUST TO BE CLEAR, you won't be able to find the exact value of the variables unless you have more information. Therefore the only thing you can do is simplify.
1. How many miles can I expect to drive
if I have 5 gallons of gas in my tank?
Answer:
1 gallon of gas gives an average of 20 miles, so 5 should get you about 100 depending on how fast your driving and what car you're driving.
solve for c. a (c + b) = d
Answer:
c=(d-ab)/a
Step-by-step explanation:
ac+ab=d
or,ac=d-ab
c=(d-ab)/a
What is the radian measurement of 45 degrees
Answer:
0.785 radian hope this helped
Which triangle shows the incenter at point A?
Point A is inside of a triangle. Lines are drawn from each point of the triangle to point A. Lines are drawn from point A to the sides of the triangle to cut each side into 2 equal parts.
Point A is inside of a triangle. Lines are drawn from each point of the triangle to point A. Lines are drawn from point A to the sides of the triangle. All angles have different measures.
Point A is inside of a triangle. Lines are drawn from each point of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles.
Point A is inside of a triangle. Lines are drawn from each point of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and to cut each side into 2 equal parts.
Answer:
The Answer is B
Step-by-step explanation:
Eh looks cool
Carolines hair is 7 inches long and grows up to 1/5 inch each month. Trinity's hair is 10 inches long and grows about 1/10 inch each month.
How many months will it take for Carolines hair to be atleast as long as Trinitys hair? Define the variable.
Answer:
30 months
Step-by-step explanation:
Let the number of months = x
Carolines hair is 7 inches long and grows up to 1/5 inch each month.
7 + (1/5)x
= 7 + 0.2x
Trinity's hair is 10 inches long and grows about 1/10 inch each month.
10 + (1/10)x
10 + 0.1x
How many months will it take for Carolines hair to be atleast as long as Trinitys hair?
Caroline = Trinity
7 + 0.2x = 10 + 0.1x
0.2x - 0.1x = 10 - 7
0.1x = 3
x = 3/0.1
x = 30 months
Therefore, it will take for 30 months for Caroline's hair to be atleast as long as Trinitys hair
A swimming pool is being filed with a hose.The hose fills the pool at constant the pools water level rose 8 inches in 12 hours
Answer:
what's the question I don't understand
I NEED HELP QUICKY PLEASE
NO NEED FOR EXPLAINATION JUST A SIMPLE ANSWER
For the function y = x2 + x + 2, which statements are true? Select all that apply.
A. The equation written in vertex form is y = (x+12)2.
B. The equation written in vertex form is y = (x+12)2+74.
C. The graph of the function opens upward, so it has a minimum of y = 74, at x = −12.
D. The graph of the function opens downward, so it has a maximum of y = 74, at x = −12.
Answer:
The answer is actually b and c
Step-by-step explanation:
Find the slope of the line through the given points.
(-2,6) and (2,-2)
Answer:
-2
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -2-6)/(2- -2)
= ( -2-6)/( 2+2)
-8/4
-2
Answer:
-2
Step-by-step explanation:
y2-y1 -2-6 -8 simplify
x2-x1 2--2 4 -2
I need an answer plsss :(!!!
Answer:
Its A
Step-by-step explanation:
common sence
2. Tentukan modus dari data berikut:
Nilai Frekuensi
30-34 4
35-39 10
40-4416
45-49 7
50-54 3
Answer:
note:
Step-by-step explanation:
The scale on a map is 1 cm for every 400 km. If Maine and Japan are 22 cm
apart on the map, what is the distance between Maine and Japan?
Tkm
Answer:
Maine and Japan are 8,800 kilometers apart
Step-by-step explanation:
Eli plays the trumpet in his school's marching band, The Marching Tigers. The Marching Tigers always put on a big show at halftime during the last football game of the year. To plan the show, Eli's music teacher draws a map of the football field and divides the field evenly into 4 sections. The band will march in 1 section of the football field.
Which model represents the fraction of the football field the band will march in?
Answer:
The third one
Step-by-step explanation:
The owner of a store sells raisins for $3.20 per pound and nuts for $2.40 per pound. He decides to mix the raisins and nuts and sell 50 pounds of the mixture for 2.72 per pound. What quantities of raisins and nuts should he use?
NEED ANSWER ASAP
Width of a rectangular prism that has a volume of 79.04 cubic centimeters, a length of 5.2 centimeters, and a height of 4 centimeters
Answer:
If its all multiplying its 1644.032 but if it's not all multiplying then that will be wrong
what is the domain of this function
y= sqrt of x
Answer:
Domain: [0, ∞)
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
Our f(x) = √x
We know that we cannot have a negative under the square root. Therefore, we know that our x-values span from 0 to infinity:
[0, ∞) or x ≥ 0
Angle Pairs Relationships HW
Accessibility Mode
For 4-7, use the figure to determine if each pair of angles form a linear pair, adjacent angles, vertical
pairs, or neither.
HELPPPPP PLEASE
Answer: Linear Pair, Adjacent Angles Linear Pair, Vertical Pairs
Step-by-step explanation:
This is what I think it is
Question 15 (1 point)
If (-3,1) is in the function f(x), then which of the following
points will be in the function f-'(x)?
(1, -3)
(3,-1)
(-1,3)
(-1,-3)
The point which will be in function is f-'(x) is (1, -3).
We are given that;
The point (-3,1) is in the function f(x)
Now,
Function is a type of relation, or rule, that maps one input to specific single output.
A function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
To find the inverse of a function, we need to switch the inputs and outputs of the function.
In other words, if f(x) = y, then f^ {-1} (y) = x.
This means that if (-3, 1) is in the function f(x), then (1, -3) will be in the function f^ {-1} (x).
Therefore, by function answer will be (1, -3).
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
Reduce 22/30 to lowest terms and write the numerator in the blank
Answer:
11/15
Step-by-step explanation:
22/30 = 11/15 because they both have a common factor of 2 in the numerator and denominator.
Enter an inequality that represents the description, and then solve.
Dave has $14 to spend on a $5 book and two birthday cards (c) for his friends. How much can he spend
on each card if he buys the same card for each friend?
Inequality:
Dave can spend up to $ BLI
on each card if he buys the same card for each friend.
Plzzz help
Answer:
19
Step-by-step explanation:
because it is looking for the total of stuff
Would 7/2 be enlarged reduced or preserved
Answer:
The scale factor 7/2 would enlarge it because it is getting 3 1/2 time larger than the oringanl size
Step-by-step explanation:
A(n)= 4 + (n - 1)(-5)
what’s the recursive formula
Answer:
A(1)=4
A(n)= A(n-1)-5
Step-by-step explanation:
Plug in 1 to see that a(1)=4. Then, find a few more using the given formula and see what the change is from one to the next. It ends up subtracting 5 for every value.
use the arithmetic sequence 12, 15, 18, 21...
which is equation for the nth term of the sequence
Answer:
aₙ = 3n + 9Step-by-step explanation:
[tex]a_1=12\\a_2=15\\\\d=a_2-a_1=15-12=3\\\\a_n=a_1+d(n-1)\\\\a_n=12+3(n-1)\\a_n=12+3n-3\\a_n=3n+9[/tex]
Equation of the nth term of the given arithmetic sequence is equals to
aₙ = 3n +9.
What is arithmetic sequence?
" Arithmetic sequence is a sequence in which difference between two consecutive terms remain constant. "
Formula used
nth term in Arithmetic sequence
aₙ = a₁ + (n -1)d
Where
aₙ=nth term of the sequence
a₁ = first term of the sequence
n = number of terms
d = common difference
According to the question,
Given arithmetic sequence is
12, 15, 18, 21, ......
a₁ = 12
d = 15 - 12
= 3
Substitute the values in the formula of nth term we have,
aₙ = 12 + (n - 1) 3
⇒ aₙ= 12 + 3n -3
⇒ aₙ= 3n +9
Hence, equation of the nth term of the given arithmetic sequence is equals to aₙ = 3n +9.
Learn more about arithmetic sequence here
https://brainly.com/question/15412619
#SPJ2
Car Repair: Tyler paid $124 to get his car repaired. The total cost for the repairs was the sum of the amount paid for parts and the amount paid for labor. Tyler was charged $76 for parts and $32 per hour for labor. Determine the number of hours it took to repair his car
Answer:
It took 1.5 hours to repair his car
Step-by-step explanation:
To get the answer you should subtract 124 - 76 = 48
Then take 48 and divide by 32 and you will get 1.5
this list shows the height in feet of 30 tallest mountain in the United States what is the meaning of the mountain data
a-14,500 ft
b-14,515 ft
c-14,530 ft
d-14,573 ft
Answer:
B) 14,151 feet
Step-by-step explanation:
Answer on edge
What is an equation of the line that passes through the points (-6, -4) and (3, 8)
Answer: Equation: 4/3x + 4
Step-by-step explanation: Use Webmath for questions like these but if you want it graphed use desmos.
1. Grafiquen un triángulo acutángulo, un triángulo obtusángulo y otro rectángulo.
a) Marquen los ángulos interiores: los del acutángulo con color rojo; con verde los del obtusángulo y con amarillo los del rectángulo.
b) A continuación grafiquen los tres ángulos de cada triángulo de forma tal que queden consecutivos.
c) ¿A qué es igual la suma de los tres ángulos interiores?
d) Enuncien la propiedad.
Answer:
e
Step-by-step explanation:
Find BD ( I need to find this answer quick )
Answer:
2x-4+2
Step-by-step explanation:
The line of BC is 2x-4 as we can see below and than we just add 2 since it's the line between CD
A company has 500 employees and plans to increase the workforce by 10 employees per month until it has doubled in size. Which of the equations below could
be used to determine the number of months, m, it will take until the company has doubled in size?
O A. 2(500)=10m
OB. 500 +10m=2(500)
C. 500 + 10 = 2m
OD. (500+10)2=m
Answer:
B
Step-by-step explanation:
Because m = months, and they are adding 10 employees per month till they reach double, 2(500).