By "limit definition", I assume you mean the derivative. We have
[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]
For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]
[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]
The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation
y - 1 = - (x - 2)
y = - x + 3
What is the percent of decrease from 2,000 to 1,000?
Answer:
50%
Step-by-step explanation:
2,000 is 2 x more than 1,000. Or, 1,000 is half of 2,000 and half of 100%=50%.
Please Help?!?!
Sari has to read a book for English class by the end of the week. She wants to read at least 200 pages in the first 5 days of the week. On average, how many pages should Sari read per day to meet her goal?
p ≥ ____
Answer:
40
Step-by-step explanation:
200 divided by 5 = 40
A study is designed to determine whether grades in a statistics course could be improved by offering special review material. The 250 students enrolled in a large introductory statistics class are also enrolled in one of 20 lab sections. The 20 lab sections are randomly divided into two groups of 10 lab sections each. The students in the first set of 10 lab sections are given extra review material during the last 15 minutes of each weekly lab session. The students in the remaining 10 lab sections receive the regular lesson material, without the extra review material. The grades of the students who reviewed weekly were higher, on average, than the students who did not review every week. What type of study is this
Answer:
Experimental but not double-blinded study
Step-by-step explanation:
The type of study being described is an Experimental but not double-blinded study. That is because it is a study that has a control group, dependent variable, and an independent variable all used in order to acquire specifically targetted data from the results that are derived from the experiment itself. Also since the scientists/researchers know exactly which lab sections are getting the extra review material (independent variable), then that makes this a non-double-blinded study.
Help please !!! ASAP
Answer:
Plz rate five star and thanks me k your answer is D
Step-by-step explanation:
HELLP ASAAAAP If each of two complimentary angles has the same measure, then which angle will equal _______.
Answer:
A complimentary angle is 90°
Step-by-step explanation:
Hope this helped! <3
Molly’s hair was 20 inches long . Three years later it was 35 inches long
Answer:
Step-by-step explanation:
75
3 1/3 -2 2/5
Subtract
Answer:
[tex] 3\frac{1}{3} - 2 \frac{2}{5} \\ \frac{10}{3} - \frac{12}{5} \\ \frac{50 - 36}{15} \\ \frac{14}{15} [/tex]
Which ordered pairs make the inequality true?
x+3y<9
Select each correct answer.
(5,1)
(1,3)
(−2,3)
(−1,4)
Answer:
The ordered pairs (-2,3) and (5,1) make the inequality true.
Step-by-step explanation:
w(t) = 3t – 1; t = 5
SOMEONE PLEASE HELP ME !
Which is the slope of the line y=-32 + 2?
Answer:
the slope is 3
Step-by-step explanation:
If you can walk 3 1/3 miles in an hour, how many miles can you walk in 30 minutes, given the
same pace?
Answer:
d = 1.67 miles
Step-by-step explanation:
Given that,
Speed of a person, [tex]s=3\dfrac{1}{3}\ mph[/tex]
We need to find how many miles can you walk in 30 minutes, given the same pace.
30 minutes = 0.5 h
[tex]3\dfrac{1}{3}\ mph = \dfrac{10}{3}\ mph[/tex]
Speed = distance/time
[tex]d=v\times t\\\\d=\dfrac{10}{3}\ mph\times 0.5\ h\\\\d=1.67\ miles[/tex]
So, the person will cover a distance of 1.67 miles
Adam’s weight to the nearest kilogram is 65 kg what is the greatest possible value of his weight
Answer:
65kg=143.30047 pounds and 1kg=2.20462262 pounds
550 es 10 veces mayor que 500
Answer:
Eso es incorrecto 550 es mayor por solamente 50 numeros
Step-by-step explanation:
The FIFO method of computing equivalent units excludes the beginning inventory costs in computing the cost per equivalent unit for the current period.
Answer:
Yes
Step-by-step explanation:
The FIFO method of process costing assumes that the opening work in process is the first group of units to be processed and completed during the current period. The opening work in progress is charged separately to completed production and the cost per unit is based only on the current period costs and the production for the current period. The closing work in process is assumed to come from the new units started during the period.
Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over then u got to show ur work
Answer:
The greatest number of identical arrangements is 6 units of 9 roses and 7 tulips each.
Step-by-step explanation:
Tulips represent the limiting quantity. In this case, the easiest and most effective approach is determining the ratio of roses to tulips to get how many roses must be left along with a minimum quantity of tulips in a unit. That is:
[tex]x = \frac{54\,roses}{42\,tulips}[/tex]
[tex]x = \frac{27\,roses}{21\,tulips}[/tex]
[tex]x = \frac{9\,roses}{7\,tulips}[/tex]
The greatest number of identical arrangements is 6 units of 9 roses and 7 tulips each.
Answer:
Step-by-step explanation:
Please help. I will mark brainliest.
Answer:
andrew gets 15 dollars a hour
and andr
find the measure of an interior angle of a regular polygon that has 10 sides
Answer: The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440. We found this by using the formula (n-2)(180). Thus, to find the measure of each interior angle we simply divide the sum by the number of total sides in the polygon. 1,440/10 = 144.
Step-by-step explanation: Hopefully this helps!
Jamie is walking her neighbors’ dog while they are away. She is keeping track of the total number of blocks she walks over time.
A 2-column table with 3 rows. Column 1 is labeled Minutes with entries 6, 14, 20. Column 2 is labeled Blocks with entries 3, 7, 10.
Does the table represent a proportional relationship?
A Yes, because both columns are written in ascending order.
B Yes, because the values in the second column are less than the values in the first column.
C Yes, because the ratios are equivalent between each pair of values.
D No, because the values in the table do not increase by the same amount in each row.
Answer:
C. Yes, because the ratios are equivalent between each pair of values.
Step-by-step explanation:
A relationship between two quantities is proportional if the ratio of the two quantities are the same for all the given possible pairs of values.
In the table given, the ratio of block to mins in the first given pair of values is 3/6 = 3/6 = ½.
In the second given pair, it is 7 to 14 = 7/14 = ½. The same ratio is gotten for the others as well.
Therefore, the table represents a proportional relationship.
The answer is: "C. Yes, because the ratios are equivalent between each pair of values."
Answer:
c
Step-by-step explanation:
If you drive for 6 hours at a rate of 55 miles per hour, then how far would you have traveled?
0330 miles
O 300 miles
0 660 miles
0 165 miles
Answer:
in one hour it's 55
in two hours it's 2*55
.
.
.
in six hours it's 6*55 = 330 miles
Ralph chase plans to sell a piece of property for 170000 he wants the money to be paid off in two ways -a short-term note at 11% interest and a long term note at 9% interest. Find the amount of each note if the total annual interest paid is 171700
Answer:
There is something wrong with the question because you cannot earn more interest during a year than the principal if you earn only 9% or 11%. You would have to earn more than 100%, so I will do this calculation based on $17,170 (not $171,700) earned in interest per year.
let S = amount received from short term note, and L = amount received from long term note
0.11S + 0.09L = 17170
S + L = 170000
S = 170000 - L
0.11 (170000 - L) + 0.09L = 17170
18700 - 0.11L + 0.09L = 17170
1530 - 0.02L = 0
1530 = 0.02L
L = 1530 / 0.02 = $76,500
S = 170000 - 76500 = $93,500
The faculty senate at a large university wanted to know what proportion of the students thought foreign language classes should be required for everyone. The statistics department offered to cooperate in conducting a survey, and a simple random sample of 500 students was selected from all the students enrolled in statistics classes. A survey form was sent by email to these 500 students. True or false
Answer:
True
Step-by-step explanation:
This is because, since the number of students who would engage in the survey is very much (around 500 students), the best option would be to send the survey form to them in their various email. This makes things easier for them to be able to respond to it.
Explain! First to answer will be named brainliest!
Answer:
(0,0)
(1,3)
(2,6)
(3,9)
or vise versa, depending on how you graph it
Step-by-step explanation:
PLEASE HELP!!
Sorry for all the tabes I'm working on a presentation at the same time.
Answer:
0.5
Step-by-step explanation:
use rise over run, from (-6,0) to (0,3) it rises 3 and runs 6. 3/6 = 1/2.
Answer:
the slope is two
Step-by-step explanation:
rise over run
What is the solution to the given inequality?
one-half minus one-fourth x is greater than or equal to negative one-fourth
Answer:
[tex]x \leq 1[/tex]
Step-by-step explanation:
Write it out:
[tex]\frac{1}{2} -\frac{1}{4}x \geq \frac{1}{4}[/tex]
Get x alone
Subtract 1/2 from both sides
[tex]-\frac{1}{4} x \geq -\frac{1}{4}[/tex]
Divide both sides by -1/4 (NOTE: Dividing by a negative you must flip the sign)
[tex]x \leq 1[/tex]
Hope this helps,
Answer:x ≤ 3
Step-by-step explanation:
Other guy is wrong
i’ll mark brainlest! i need help on other questions too! thankkk you
Answer:
-3/2
Step-by-step explanation:
Parallel lines have equal slopes.
QUESTION 20
Para el par de funciones, encuentre la suma, diferencia, producto o cociente indicado.
f(x) = -2x 2 - 6. g(x) = x + 4
Encuentra (f - g)(-5).
O a. -47
O b.-55
O c. 61
O d.-65
Answer:
B. -55
Step-by-step explanation:
La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:
1) [tex]f(x) =-2\cdot x ^{2}-6[/tex] Dado
2) [tex]g(x) = x+4[/tex] Dado
3) [tex](f-g)(x) = (-2\cdot x^{2}-6)-(x+4)[/tex] Definición de resta de funciones.
4) [tex](f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)[/tex] [tex](-1)\cdot a = -a[/tex]
5) [tex](f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)[/tex] Propiedad distributiva/[tex](-1)\cdot a = -a[/tex]
6) [tex](f-g)(x) = -2\cdot x^{2}-x+(-6-4)[/tex] Propiedad conmutativa
7) [tex](f-g) (x) = -2\cdot x^{2}-x-10[/tex] Sustracción de términos semejantes/Resultados.
A continuación, evaluamos la función resultante en [tex]x = -5[/tex]:
[tex](f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10[/tex]
[tex](f-g)(-5) =-55[/tex]
Por ende, la respuesta correcta es B.
janesa has 24 coins in her pocket worth exactly $1.00. she tells her younger brother jackson that he can have the coins if he correctly guesses how many of each coin she has. she gives him the hint that there are only nickels and pennies. complete the equation that represents the total value of the nickels and p pennies 5( blank ) + p = 100
Answer:
Number of Nickels = 19
Number of pennies = 5
Step-by-step explanation:
The type of coins that Janessa has = nickels and pennies.
Janessa has a total number of 24 coins
The sum of the nickels and pennies = $1.00
Let us represent the number of nickels as x
The number of pennies as y
Hence, our system of equations is :
x + y = 24..... Equation 1
x = 24 - y
A nickel is worth 5 cents.
1 nickel = $0.05
A penny is worth 1 cent.
1 penny = $0.01
Therefore,
$0.05× x + $0.01 × y= $1.00
0.05x + 0.01y = 1.00........Equation 2
Substitute 24 - y for x in Equation 1
0.05(24 - y) + 0.01y = 1
1.2 - 0.05y + 0.01y = 1
1.2 - 1 = 0.05y - 0.01y
0.2 = 0.04y
y = 0.2/0.04
y = 5
We have 5 pennies
x = 24 - y
x = 24 - 5
x = 19
We have 19 nickels
Please help me out. A square has an area of 90 square inches. Which two consecutive integers does a side length of the square fall between?
The side length of a square with an area of 90 square inches falls between the integers
A and
B .
Answer:
9 and 10
Step-by-step explanation:
Area of a square = s², where s = side length
Given that the square has an area of 90 in², the side length (s) of the square = √90.
Thus, 90 is not a perfect square and it's square root won't give us an integer.
Thus, √90 lies between two perfect squares namely, 81 and 100.
Therefore, the side length of the square would be:
√81 < √90 < √100
9 < √90 < 10.
The side length of the square lies between 9 and 10.
Answer:
9 and 10
Step-by-step explanation:
Please explain step by step how you will answer the equation 4(x+6)-11= 25. You
may write down the problem and explain it when you are solving the equation.
Answer:
x=3
Step-by-step explanation:
4(x+6)-11= 25
Distribute the 4: 4x+24-11=25
Add the 11 on both sides: 4x+24=36
Subtract 24 from both sides: 4x=12
Divide 12 by 4 to isolate x: x=3
I hope this helped, please mark Brainliest, thank you!
Choose another name for plane s look at the picture for the full answer thank you for helping!
Answer:
c: plane ptm
Step-by-step explanation:
