Using differentials, the approximate change in the value of f(x) = x2 + 4x - 1 as x changes from 3 to 3.1 is
O 0.1.
O 1.
O 10.
O 100
The approximate change in the value of the function will be 10. Then the correct option is C.
What is the average rate change of a function?It is the average amount by which the function is modified per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph that represents the function. The average rate of change of the function is given as,
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The function is given below.
f(x) = x² + 4x - 1
The average rate is calculated as,
Average rate = [f(3.1) - f(3)] / [3.1 - 3]
Average rate = [(3.1² + 4(3.1) - 1) - (3² + 4(3) - 1)] / 0.1
Average rate = (21.01 - 20) / (0.10)
Average rate = 1.01 / 0.10
Average rate = 10.1
Average rate ≈ 10
The approximate change in the value of the function will be 10. Then the correct option is C.
More about the average rate change of a function link is given below.
https://brainly.com/question/23715190
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How do you solve -2 = t/3 - 11?
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1.) Multiply both sides of the equation by 3:[tex]\frac{t}{3}[/tex] × [tex]3=t[/tex][tex]-11[/tex] × [tex]-3=-33[/tex]- We do this because we need to get x alone and separate from fraction from.
Equation at the end of Step 1:
[tex]-6=t-33[/tex]2.) Add 33 to both sides:[tex]-33+33=[/tex] Cancels Out[tex]-6+33=27[/tex]- We do this to cancel out an extra numbers in order to get only x alone with 1 number on the opposite side of the equal.
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Oakley works at a factory that packs products in two
different size boxes. Each small box holds 2.5 ft' of
products. Each large box holds 7.5 ft?
of products.
ok first you need to add e and 4 and get 95 out of haha
HELP!! Shelley creates a logo using two similar icicle triangle shown below what is the length of side s in centimeters
Answer:
s = 12cm
Step-by-step explanation:
Since these are similar triangles, in order to find a missing side, you have to find the constant of proportionality
14/8 = 21/s >> cross multiply
14s = 168 >> divide both sides by 14 to get s alone
s = 12
another way to find the answer......
Step-by-step explanation:
You still have to find the constant of proportionality, it's just going to be a bit faster this way
14/8 = 1.75
21/1.75 = 12
s = 12
James drove to the lake and back the trip there took four hours and the trip back took six hours he average 20 mph faster on the trip there on on the return tip find Jameses average speed on the trip
Answer: 60 mph
Step-by-step explanation:
Question wants the speed to the lake.
It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.
It took him 6 hours to come back.
Assuming the speed James used on the return trip is x:
Expression for distance is:
4(x + 20) = 6x
4x + 80 = 6x
2x = 80
x = 80/2
x = 40 mph
Speed to the lake = 40 + 20
= 60 mph
What is the value if 5/6 ÷ 3/4
Answer:
5/8
Step-by-step explanation:
my bad
Answer:
Step-by-step explanation:
i got 1.11111111111 hope it helps ( give me brainliest please)
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .
Answer:
7 / 12
Step-by-step explanation:
(0 + 1/2 + 1/2 + 1/2 + 1 + 1) / 6 = 7 / 12 or 0.58
Can some one plz help fast F=-m+B/q^3
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sorreee
A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?
Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?
Answer:
The amount of sales=$6000
21 students earn the award
Step-by-step explanation:
1. amount of sales=100/3×$180
=$6000
2. 15/100×140=21
What is the name of this type of graph?
pls help will give brainiest
A boat leaves a dock and travels 5 miles due south, then 12 miles due west. How far is the boat from the dock?
Plzzzz plzzz plzzz ps keiskskks
Answer:
42
Step-by-step explanation:
x/6=7
x=42
Answer:
42 should be the answer
Step-by-step explanation:
x ÷ 6 = 7
x ÷ 6 x 6 = 7 x 6
x = 42
I really need help for this geometry question, I would appreciate any help thank you.
Answer:
hypotenuse = 4.24
Step-by-step explanation:
sin θ = opposite / hypotenuse
sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
hypotenuse = 4.24
A parallelogram with vertices H(-2, 2),
J(5,2), K(-3, 3), and L(-4, -3) is dilated
to form a parallelogram with vertices.
H'(-5,5), J'(12.5, 5), K'(-7.5, 7.5), and
L'(-10, 7.5). Which representation best
explains the effect of this dilation?
A. (x,y) -> (3x, 3y)
Original
B. (x,y) -> (2.5x, 2.5y)
C. (x,y) -> (2x, 2y)
D. (x,y) -> (1.5x, 1.5y)
Answer: B
Step-by-step explanation:
7x-6y=9
5x+2y=19 Solve the system using elimination.
Step-by-step explanation:
multiply 5x+2y=19 by 3 youll get 15x+6y=57
eliminate y
7x-6y=9
15x+6y=57 +
22x=66
x=3
substitute x to 5x+2y=19
15+2y=19
2y=4
y=2
Cathleen ran a total of 16 miles. She ran exactly 2 2/3 miles each day. How many days did it take her to run 16 miles
Answer:
6 days
Step-by-step explanation:
Carey needs $60 to buy her mothers a gift. She has saved 25% of that amount so far. How much has she saved so far?
\
Answer:
$15
Step-by-step explanation:
what is 333x2+999-999 divided by 2 =
Answer:
333×2+999-999÷2= 333
Step-by-step explanation:
Answer:
333
Step-by-step explanation:
333 x 2 = 666
666 divided by 2 = 333
999 - 999 = 0, so it doesn't do anything to the final number
The answer is 333
hope this helped~
SOMEONE HELP ME I GO CLASS IN 10 MINS!!
Answer:
i think its mq
Step-by-step explanation:
Side lengths: 24 in, 30 in, and 36 in
Volume of this is 25920 inches cubed
A flagpole casts a shadow of 25.5 meters long. Tim stands at a distance of 15.4 meters from the base of the flagpole, such that the end of Tim's shadow meets the end of the flagpole's shadow. If Tim is 2.3 meters tall, determine and state the height of the flagpole to the nearest tenth of a meter.
Answer:
5.8 meters
Step-by-step explanation:
The formula to calculate this is given as:
Height/ Shadow
Shadow of the pole = 25.5 m
Height of the pole = x m
Tim's shadow = Height of the pole - Tim's distance
25.5 m - 15.4 m = 10.1 m
Tim's height = 2.3 m
Hence:
x/25.5 = 2.3/10.1
Cross Multiply
10.1x = 25.5 × 2.3
x = 25.5 × 2.3/10.1
x = 5.8069306931 m
Approximately = 5.8m
Hence, the height of the flagpole = 5.8m
7.74% of 789.13
Give your answer rounded to 2 DP.
Given :
A number 789.13 .
To Find :
7.74% of 789.13 .
Solution :
Let, 7.74% of 789.13 is x.
So,
[tex]x = \dfrac{789.13\times 7.74}{100}\\\\x = \dfrac{6107.8662}{100}\\\\x = 61.08[/tex]
Therefore, 7.74% of 789.13 upto 2 decimal place 61.08 .
What is the LCM of 2 and 8
Answer:
its 8
Step-by-step explanation:
Answer:
nmbjhsnn,dnn,nmmmmmmmdndmnnmdnmdndmdndm smh
Step-by-step explanation:
Ann used 5 2/3 gallons of gas on Sunday and 1 1/4 gallons of gas on Monday. How many more gallons of gas did she use on Sunday?
Write your answer as a mixed number in simplest form.
Answer:
116/8 - 87/8 = 29/8 = 3 5/8 gal
Step-by-step explanation:
PLS RESPOND FAST!! What is the value of x in the diagram belo2v
A. 9
B. 8
C. 7
D. 6
Answer:
C
Step-by-step explanation:
The 2 triangles are similar (AA postulate ), thus the ratios of corresponding sides are equal, that is
[tex]\frac{14}{2}[/tex] = [tex]\frac{49}{x}[/tex] ( cross- multiply )
14x = 98 ( divide both sides by 14 )
x = 7 → C
What is 7 raised to the power of 1?
Complete the table below.
Answer:
column 1, (2 and 2)
column 2, (8 and 4)
Step-by-step explanation:
For the first one, y = 2[tex]x^{2}[/tex]. You would plug in 1 into x and since one times itself is one, you would end up with 2. For the next question, you would plug in one and find that two times one is two. For the next column, by plugging in 2, you would find that you would end up with 2 times 4 and thus, you would find the answer which is 8. Lastly, two to the power of two is 4. Hope this helped!
38. Which ordered pair is a solution to the
equation y = 2 - x?
a) (5,3)
b) (8,10)
c) (-1,1)
d) (-5,7)
Answer:
d
Step-by-step explanation:
y=2-x
because
7=2-(-5)
7=7
which is NOT a statistical question
A) What score did each of my classmates get on the math quiz ?
B) How many minutes did each of my friends spend on the computer today ?
C) How many points did the Tigers score in each of their games ?
D) How many plates are on the table ?
(P.S. thanks for your hard work :D)
Answer:
How many plates are on the table as it results in only one value with no variability
Step-by-step explanation:
D) How many plates are on the table? is not a statistical question because it does not involve the collection or analysis of numerical data.
What is Statistic?A statistic is a piece of data derived from a subset of a population. It's the inverse of a parameter — census data, which polls everyone.
Statistics is a method of comprehending data collected about us and the world. For example, if you send a parcel through the mail, it is logged in a massive database.
How many plates are on the table? is not a statistical question because it does not involve the collection or analysis of numerical data.
A statistical question involves the collection and analysis of numerical data in order to make inferences or draw conclusions about a larger population.
The other questions (A, B and C) all involve the collection and analysis of numerical data and are therefore statistical questions.
Hence, the correct answer would be option (D).
Learn more about Statistics here:
brainly.com/question/23091366
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A librarian has 43 books to distribute to a group of children. If he gives each child 2 books, he will have 7 books left over. How many children are in the group?
Answer:
wish i could help have a gret day
Step-by-step explanation:
Answer:
43-7=36
Number of children in the group=36/2
=18children are there in the group
Step-by-step explanation: