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
What is the measure of the complement of each angle? 87 degrees
3°
Step-by-step explanation:Hi there !
complementary angles = the sum of angles is 90°
a + b = 90°
a = 87°
b = 90° - 87°
b = 3°
Good luck !
Wayne notes that a distance of 120 km is represented by 6 cm on a map.
How would a distance of 300 km be represented on the map using the same scale?
Answer:15cm
Step-by-step explanation:
What is the time that is 11 hours and 15 minutes after the time shown?
Answer: 9pm
Step-by-step explanation:
Answer:
8:45
Step-by-step explanation:
6x-2x=24 HELP PLSSSSSS
Answer:
x=6
Step-by-step explanation:
Basically since 6x and 2x have like terms you subtract the 2x from 6x.
6x-2x=4x
Then you divide 4 from 24.
4x=24
4x/4 = 24/4
x=6
Answer:
6x - 2x = 24
4x = 24
4x ÷ 4 = 24÷4
x = 6
Step-by-step explanation:
First of all subtract 2x from 6x which will give you 4x = 24
since you're finding x or want to make x the subject you are to divide both sides by 4, so
4x ÷ 4 will give you x, since both 4's will cancel out giving you x =, then you divide 24 by 4 also. 24 ÷ 4 will give you 6, so x = 6.
Very simple
2x^3+4x-5 when x=3?
Answer:
61
Step-by-step explanation:
2(3)^3+4(3)-5
54+12-5
66-5
61
Use a proportion to convert the measurement. Round your answer to two decimal places.
175 centimeters=____inches
Answer:
68.89 inches
Step-by-step explanation:
2.54 cm/in
175 divided by 2.54
-3(4n + 1) + 3(8n 8) = 22
A given recipe for bread calls for 3 parts liquid for every 5 parts flour. Represent this ratio as a decimal.
Answer:
0.6
Step-by-step explanation:
3:5
3/5
0.6
Can someone help plz!
Answer:
What do you need help with?
Step-by-step explanation:
Answer:
HELP WITH WHAT
Step-by-step explanation:
I need Help please help with X - 7.6 = 18.2
Answer:
x = 25.8
Step-by-step explanation:
Add 7.6 to each side, so it now looks like this: x = 25.8I hope this helps!
HURRY PLZ JUST GIVE THE ANSWER WILL MARK YOU BRAINLIEST!!!
120°
180 - 130 = D = 50°
180 - (70+50) = 60°
then... 180 - 60 = 120°
answer , NOW.
PLS
I
NEED
SOMEONE
TO
ANSWER.
NOW.
Answer:
A. 6oz
Step-by-step explanation:
Beause thats the lowest number on the chart.
Answer: A. 60 oz
Step-by-step explanation: I think it would be A because 0.89 is smaller than C, D, and B.
Somebody please help!
Answer:
see below
Step-by-step explanation:
4xy+ x+ 2xy
Combine like terms which are 4xy and 2xy
6xy+x
Answer:
6xy + x
Step-by-step explanation:
This is the answer because:
1) First, look at all the combine terms
Combine Terms: 4xy and 2xy
2) Since we have a + sign, we have to add 4xy + 2xy which equals 6xy
3) Finally, we are left with 6xy + x
Therefore, the answer is 6xy + x
Hope this helps! :D
For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 students wore their school colors while 300 students did not wear green and white. What percent of the school population wore their school colors?
Answer:
80%
Step-by-step explanation:
We are told that 1,200 students wore their school colors of green and white.
Also, we are told that 300 students did not wear school colours green and white.
Thus, total number of students = 1200 + 300 = 1500
Thus;
percent of the school population who wore their school colors is; (1200/1500) × 100% = 80%
Find the remainder using long division.
3,812 ÷ 5
Answer:
762 r 2
Step-by-step explanation:
3,812 ÷ 12
Divide:
3,812 ÷ 12
0762 r 2
762 r 2
Hope you learned from this answer!
Answer:
762 With a remainder of 2
Step-by-step explanation:
(if u need more with remainders i got a good site for you to look at)
anyway, when you do the math you will be left with a 2,
Dominic is going to drive from his house to City A without stopping. Dominic's house is 300 miles from City A and he plans to drive at a speed of 50 miles per hour. Write an equation for D, in terms of t,t, representing Dominic's distance from City A t hours after leaving his house.
Answer:
D= −50t + 300
Step-by-step explanation:
Since Dominic lives 300 miles from City A, when he starts his trip (at time
t=0), his distance from City A must be 300 miles, meaning D=300 when
t=0, which is the y−intercept.
(0,300) is a point on the graph
Since Dominic will drive 50 miles per hour, the Dominic's distance from City A decrease 50 miles for each hour of driving, making the slope of D equal to
−50.
Slope=−50
equation of the line: D= −50t + 300
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation for D, in terms of t, represents Dominic's distance from City A t hours after leaving his house.
D = 300 - 50t
Where t= number of hours
What is an equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 4 is an equation.
We have,
Distance between Dominic's house and City A = 300 miles
Speed = 50 miles per hour.
The equation for D, in terms of t, represents Dominic's distance from City A t hours after leaving his house.
D = 300 - 50t
Where t= number of hours
Now,
We can see that,
At t = 1, D = 300 - 50 = 250 miles.
At t = 2, D = 300 - 100 = 200 miles.
Thus,
The equation for D, in terms of t, represents Dominic's distance from City A t hours after leaving his house.
D = 300 - 50t
Where t= number of hours
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ5
Determine the equation of the line shown in graph:
Option A is correct answer, X = 3
Find the midpoint of the segment with the given endpoints
(-9,-9) and (7,5)
Answer:
(-1, -2)Step-by-step explanation:
Given points
(-9,-9) and (7,5)Midpoint is
((-9 + 7)/2, (- 9 + 5)/2) =(-2/2, -4/2) =(-1, -2)Karen buys a sweater for $80. The sales tax in her state is 7%. What is the total amount Karen will pay for the sweatshirt, including sales tax?
Answer:
Karen will pay $85.6!
Step-by-step explanation:
7% of 80 is 5.6!
80+5.6=85.6!
I only need help for 6
Step-by-stepOn the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning. on the sixth day there were living animals.On the fifth day there was evening and there was morning
Answer:
I think CE is 42
Step-by-step explanation:
Take the x+3 and add the 3x-12 to find x. you should get x= -6. so then you d the same problem again but this time replace the x with -6 and you should get that your answer is 42.
6a+5a=-11
Multi step equations
Show worm
Answer:
a = -1
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same amount of the same variables.
6a + 5a = -11
(6a + 5a) = -11
(11a) = -11
Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Divide 11 from both sides:
(11a)/11 = (-11)/11
a = -11/11
a = -1
a = -1 is your answer.
~
16/19 as a decimal rounded to the nearest 10th
Answer: 0.84
16/19 = 0.8421....
0.8421 rounded to the nearest tenth is 0.84.
The answer is 0.84.
Nikki can run at an average speed of 8 2 5miles an hour. At this rate, how many miles would she travel in 2.5 hours?
a. 10.9 miles b. 10.75 miles c. 16.8 miles d. 21 miles
Answer:
21
Step-by-step explanation:
8.4x2.5=21
Nikki would run 21 miles in 2.5 hours.
I'd appreciate a brainliest, and I hope this helps. :)
Solve for y: 5x-4y=28
Answer:
y = [tex]\frac{5}{4} x - 7[/tex]
Step-by-step explanation:
Step 1: Add -5x to both sides.
5x − 4y + −5x = 28 + −5x
−4y = −5x + 28
Step 2: Divide both sides by -4.
[tex]\frac{-4y}{-4} =\frac{-5x +28}{-4}[/tex]
y = [tex]\frac{5}{4}x -7[/tex]
Answer:
y=- -5/4x-7 go to question 7
Step-by-step explanation:
y=- (-5x+28)
4
then simplify if you need more steps i will show
marco is 6 feet 3 inches tall. There are 2.54 centimeters in 1 inch. What is marcos height in centimeters.
Answer:
Hi
Step-by-step explanation:
Answer:
The answer is 190.5cm
Step-by-step explanation:
so solve this problem, we first need to convert marco's height to inches.
there are 12 inches in 1 foot.
multiply.
[tex]\frac{6ft}{1} *\frac{12inch}{1ft} \\72inch[/tex]
notice how ft cancel out because they are in opposite positions of the fraction.
add 72+3 to get marco's height in inches.
[tex]72+3\\75[/tex]
marco is 75inches.
with this information, we can solve for his height in cm.
write an equation.
[tex]\frac{75inch}{1} *\frac{2.54cm}{iinch}[/tex]
solve.
[tex]\frac{75inch}{1} *\frac{2.54cm}{iinch}\\190.5cm[/tex]
marco is 190.5centimeters
hope this helps!
Oscar ordered food for a party.
Oscar ordered 4 trays of tacos for $65 each.
He also ordered 3 gallons of tea for $10.50 each.
The restaurant charges $25 for delivery of the order.
What is the total amount of money Oscar will pay the restaurant?
O A. $262.50
OB. $553.50
O C. $100.50
O D. $316.50
Answer:
100.50
Step-by-step explanation:
During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. At what number(s) measures played would the sound level be at 80 decibels?
Answer:
The sound level would be at 80 decibels at 1 or 7 number of measures played
Step-by-step explanation:
Equations with Absolute Values
We have the function s to represent the sound level in decibels:
[tex]s = 10|x - 4|+ 50[/tex]
Where x is the number of measures of the music played.
We are required to find the value of x that makes s=80 decibels. We have to find the equation:
[tex]10|x - 4|+ 50 =80[/tex]
Subtracting 50:
[tex]10|x - 4| =80-50[/tex]
[tex]10|x - 4| =30[/tex]
Dividing by 10:
[tex]|x - 4| =30/10=3[/tex]
[tex]|x - 4| =3[/tex]
For the absolute value be equal to 3, its argument could be positive or negative:
[tex]x-4=3[/tex]
Or
[tex]x-4=-3[/tex]
This leads us to two solutions:
[tex]x=3+4=7[/tex]
x=7
Or
[tex]x-4=-3[/tex]
[tex]x=4-3=1[/tex]
x=1
The sound level would be at 80 decibels at 1 or 7 number of measures played
Each row in a classroom has 3 girls and 2 boys. There people 4 rows in that
class. What is the number of students in that class.
I got 20 as my answer is that right?
Answer:
yep that's right
Step-by-step explanation:
go see
Can someone help me please
Answer:
DNE
Step-by-step explanation:
The left limit is +1; the right limit is -1. These are different, so the limit does not exist.
which quotient is larger 0.63÷× or 0.55÷3
Answer:
Depends
Step-by-step explanation:
How much is x worth?
Answer:0.63
Step-by-step explanation: