Answers
Answer:
2) [tex]\frac{3(x-1)}{x^2}[/tex]
Step-by-step explanation:
[tex]\frac{3x^2+12x-15}{x^3+5x^2} \\\\\frac{3(x-1)}{x^2}[/tex]
Related Questions
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem. No, f is not continuous on [0, 2]. There is not enough information to verify if this function satisfies the Mean Value Theorem. No, f is continuous on [0, 2] but not differentiable on (0, 2). Yes, f is continuous and differentiable on , so it is continuous on [0, 2] and differentiable on (0, 2) . If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisfy the hypotheses, enter DNE).
Answers
Answer:
(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
(b) [tex]c =0.51995[/tex]
Step-by-step explanation:
Given
[tex]f(x) = e^{-4x};\ [0,2][/tex]
Solving (a); Does the function satisfy M.V.T on the given interval
We have:
[tex]f(x) = e^{-4x};\ [0,2][/tex]
The above function is an exponential function, and it is differentiable and continuous everywhere
Solving (b): The value of c
To do this, we use:
[tex]f'(c) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case:
[tex][a,b] = [0,2][/tex]
So, we have:
[tex]f'(c) = \frac{f(2) - f(0)}{2 - 0}[/tex]
[tex]f'(c) = \frac{f(2) - f(0)}{2}[/tex]
Calculate f(2) and f(0)
[tex]f(x) = e^{-4x}[/tex]
So:
[tex]f(2) = e^{-4*2} = e^{-8} = 0.00033546262[/tex]
[tex]f(0) = e^{-4*0} = e^{0} = 1[/tex]
This gives:
[tex]f'(c) = \frac{0.00033546262 - 1}{2}[/tex]
[tex]f'(c) = \frac{-0.99966453738}{2}[/tex]
[tex]f'(c) = -0.4998[/tex]
Note that:
[tex]f'(x) = (e^{-4x})'[/tex]
[tex]f'(x) = -4e^{-4x}[/tex]
This implies that:
[tex]f'(c) = -4e^{-4c}[/tex]
So, we have:
[tex]f'(c) = -0.4998[/tex]
[tex]-4e^{-4c} =-0.4998[/tex]
Divide both sides by -4
[tex]e^{-4c} =\frac{-0.4998}{-4}[/tex]
[tex]e^{-4c} =0.12495[/tex]
Take natural logarithm of both sides
[tex]\ln(e^{-4c}) =\ln(0.12495)[/tex]
[tex]\ln(e^{-4c}) =-2.0798[/tex]
Apply law of natural logarithm
[tex]\ln(e^{ax}) =ax[/tex]
So:
[tex]-4c =-2.0798[/tex]
Solve for c
[tex]c =\frac{-2.0798}{-4}[/tex]
[tex]c =0.51995[/tex]
(5+2×8)/6=x(4+6) what is the value of x ?
Answers
Answer:
Step-by-step explanation:
Answer:
x= 7/20
Step-by-step explanation:
(5+2×8)/6=x(4+6)
(5+16) /6 = 4x+6x
21/6=10x (divide 21/6 by 3)
7/2=10x
7/2×1/10= x
x= 7/20
Hope this helps :)
Keep Smiling
Which linear function represents the line given by the point-slope equation y + 7 = (x + 6)?
Answers
The scatterplot below shows a data set
and an approximate trend line for the
data.
7
6
5
3
1
0 10 20 30 40 50 60 70
Which is the best estimate of the value of
x that corresponds to y = 3? (8.18, 8.10,
SIE, SIF)
Where does
F 35
the line y = 3
G 25
intersect the
trend ine?
H 50
10
Answers
3 x ( 15 - 11 ) + 6= ?
help help help
Answers
Answer:
12x + 6
Step-by-step explanation:
What is the graph of the function f(x) = the quantity of x squared plus 4 x minus 12, all over x plus 6 ? (1 point)
Answers
so
(x+6)(x-2)
---------------- = x - 2
x + 6
f(x) = x -2
because
if x = -6
then y = -6 - 2 = -8
(-6,-8) is the order pair
y=-14x^2+1035x-10266
Answers
Answer in the attachment :))
brainliest or a thank you pls :)
SOMEONE PLS HELP ASAP
Answers
Answer:
a. (2,2) (4,4) (6,6)
b. start on point (2,2) and go up 2 and over 2 or (x·1, y·1)
c. Ever y-coordinate on the y-axis equals 17.
Identify the coefficient and the exponent for each term of 2x^5– 3x. The coefficients are 5 and 1. The exponents are 2 and - 3. The coefficients are 2 and 3. The exponents are 5 and 0. O The coefficients are 2 and - 3. The exponents are 5 and 0. The coefficients are 2 and - 3. The exponents are 5 and 1.
Answers
Answer:
The coefficients are 2 and -3
The exponents are 5 and 1
Step-by-step explanation:
Given
[tex]2x^5 - 3x[/tex]
Required
The coefficient and exponent
First, identify the terms.
The terms are: [tex]2x^5[/tex] and [tex]- 3x[/tex]
The coefficient are the numbers written before the variables
The exponents are the power of the variables
So; for : [tex]2x^5[/tex]
[tex]Coefficient = 2[/tex]
[tex]Exponent = 5[/tex]
For [tex]- 3x[/tex]
[tex]Coefficient = -3[/tex]
[tex]Exponent = 1[/tex]
In ΔNOP, the measure of ∠P=90°, the measure of ∠N=26°, and OP = 13 feet. Find the length of PN to the nearest tenth of a foot.
Answers
Answer:
26.7
Step-by-step explanation:
20% of a restaurant customers order the chef’s special. 230 customers are anticipated to dine at the restaurant tonight. The standard deviation for this binomial distribution is? Round your answer to 3 decimal places
Answers
Answer:
i don't knwo
Step-by-step explanation:
i
Gus bought a salad for $6 and two pizza's. If he paid a total of $36, what equation represents finding the cost of one pizza?
Answers
Answer:
15 dollars each pizza
Step-by-step explanation:
2 pizzas (15 + 15 = 30)
30 + 6 = 36
Answer:
15
Step-by-step explanation:
15+15=30+6 =36
A=?
C=?
1= 57, find angle 4
3= 63 find angle 2
2= 2x+6 and 3=3x-1 find x
AD=6cm and BD=12cm find BC
Answers
Step-by-step explanation:
1. m(angle A) is 90 degrees............[ tangent drawn from the centre of the circle is always perpendicular to the circle]
2.m(angle C) is also 90 degrees....[ tangent drawn from the centre of the circle is always perpendicular to the circle]
3. m(angle 1) is 57 degrees, angle A is 90 degrees, .....(given)
m(angle 4) + m(angle 1) + angle A = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 4) = 180 - ( 57 + 90)
= 33 degrees
4. m(angle 3 ) is 63 degrees, m(angle C) is 90 degrees, .........[given]
m(angle 3) + m(angle 2) + angle C = 180 ...............[ sum of measures of a triangle is always 180 degrees]
m(angle 2) = 180 - ( 63 + 90)
= 27 degrees
PLZ HELP ASAP (BRAINLIEST + 30 POINTS (show all work)
(7.03) Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2
Answers
Answer:
x² - 12x + 36
factored: (x - 6)(x - 6)
Can anyone help! I can’t figure out the answer.
Answers
what
is the quistion cause can't nobody see that
Joelle wears a uniform to school. These are the uniform pieces she has:
Skirts Tops Sweaters
tan white blue
blue
red
white
brown blue
Each day she wears a skirt, a top, and a sweater.
How many combinations of one skirt, one top, and one sweater can she make?
A. 3
B. 8
Answers
This is correct because when I put all the combinations so this is why I licked this answer ;)
Plssssss I’m being timed
Answers
Answer: the answer is c
Step-by-step explanation:
A quantity with an initial value of 600 grows continuously at a rate of 0.15% per day.
What is the value of the quantity after 73 days, to the nearest hundredth?
Answers
Answer:
Step-by-step explanation:
1,0015^73*600=669,38
What is the volume of the figure below if each unit cube has a side length of one centimeter?
A.12cm3
B.24 cm3
C.36 cm3
D.48 cm 3
Answers
Answer: C
Step-by-step explanation:
A jar holds 475 milliliters of honey. How many liters will 27 jars hold?
O 12.825 liters
O 1,282 liters
O 12,825 liters
O 128,250 liters
Answers
9514 1404 393
Answer:
(a) 12.825 liters
Step-by-step explanation:
"Milli-" is the SI prefix for 1/1000. So, 475 milliliters is 475/1000 liters, or 0.475 liters.
27 of these will be a volume of ...
(27)(0.475 L) = 12.825 L . . . . matches the first choice
For brainliest please help!
Answers
Answer:
I think its y-x, if y >x.
Step-by-step explanation:
Determine the odds of drawing two aces if two cards are removed from
regular deck.
Answers
Answer:
The chance of drawing one of the four aces from a standard deck of 52 cards is 4/52; but the chance of drawing a second ace is only 3/51, because after we drew the first ace, there were only three aces among the remaining 51 cards. Thus, the chance of drawing an ace on each of two draws is 4/52 × 3/51, or 1/221
Step-by-step explanation:
Can someone please explain the answer step by step pls.
Answers
Answer:
a) x= 29, y= 87
b) x= 19, y= 45
Step-by-step explanation:
Q5. a) Let the first number be x and the second number be y.
The sum of 2 integers is 116.
x +y= 116 -----(1)
The second number is three times the first number.
y= 3x -----(2)
Substitute (2) into (1):
x +3x= 116
4x= 116
x= 116 ÷4
x= 29
Substitute x= 29 into (2):
y= 3(29)
y= 87
b) Let the smaller number be x and the larger number be y.
x +y= 64 -----(1)
y -x= 26 -----(2)
Since we have to use substitution to solve the equations, let's first rewrite an equation to make one of the variables the subject of the equation.
From (1):
x= 64 -y -----(3)
Substitute (3) into (2):
y -(64 -y)= 26
y -64 +y= 26 (expand bracket)
2y= 26 +64 (simplify, +64 on both sides)
2y= 90
y= 90 ÷2
y= 45
Substitute y= 45 into (3):
x= 64 -45
x= 19
The least-squares regression line is: Group of answer choices a. the line that passes through the most data points. b. the line that minimizes the sum of the squares of the vertical distances from each point to the line. c. the line such that half of the data points fall above the line and half fall below the line d. all of the above are correct
Answers
Answer:
a. the line that passes through the most data points.
Step-by-step explanation:
The least-squares regression line is the line that passes from mostly all the data points also this line would be located on a scatterplot that minimizes the distance square from the points to the line
Therefore as per the given situation, the option a is correct
Hence, the rest of the given options would be wrong
Evaluate the function for the indicated values of x.
f(x)=
2x + 1 x 3-5
x? -5
3- X x 25
f(-10) =
f(2)=
f(-5) =
f(-1) =
f(8) =
DONE
Answers
Answer:
f(2)
Step-by-step explanation:
Amir bought a camera 5 year ago for RM1500. He plans to sell his camera at a price of RM1800. What percentage of the profit or loss?
Answers
Answer:
20% profit
Step-by-step explanation:
Hope this helps
What is the equation for g(x)=
Answers
Answer:
g(x) = -(x + 3)^2 - 1
Step-by-step explanation:
g(x) has a peak, and goes down on both sides, it needs a negative sign. From the vertex, when x increases by 1, y decreases by 1, and when x increases by another 1, y decreases by 3. a = -1. The function is 3 units to the left and 1 unit down. That will make h = -3 and k = -1 to the function g(x) = a(x - h)^2 + k.
Plug the values in to get the answer.
Fing Using Addil
The number of boxes of cookies sold by Imelda was 36 more than the number of
boxes of cookies sold by Keiko. The number of boxes of cookies sold by Sarah
was 38 fewer than the number sold by Keiko. Write an algebraic expression for
each quantity. Use x to represent the unknown value.
Answers
Answer:
keiko- x
imelda- x+ 36
Sarah- x- 38
Step-by-step explanation:
keiko is x since we have not been given his number of boxes.because imelda's number of boxes was 36 more than keiko's, you will add the x which is for keiko and 36 for imelda(x+36).and sarah's number of boxes will be x-36 because we have been told her number of boxes is 38 fewer than keiko's.please help!!!
i would really apreciate it
Answers
Answer:
it should be the graph on the bottom right
Step-by-step explanation:
The income should be more than the cost in order to make a profit and that happens for Leanne when she sells 8 quilts, so the 8 should be on the x-axis (the axis named "Quilts Sold")
The income should be 0 in the beginning bc when she sells 0 quilts she will be earning 0.
after selling 8 quilts her income will be higher than her costs
(Though naming the y-axis as "profit" is not accurate bc when she sells 0 quilts she will lose money since she will be spend money to make the quilts but not earn the money to compensate for the cost).
with all of these reasons combined the correct should be the one on the bottom right
Pattern A follows the rule "subtract 3" and Pattern B follows the rule "subtract 4." Pattern A 20 17 14 11 8 Pattern B 24 20 16 12 8 Which ordered pairs are formed from combining a term in Pattern A with its corresponding term in Pattern B? Select all correct answers. (17, 20) (20, 24) (12, 11) (8, 8) (14, 20) (20, 16)
Answers
Answer:
(20,24) (17,20) and (8,8)
Hope this helps
Step-by-step explanation: