Answer: [tex](0,0), (3,-27)[/tex]
Step-by-step explanation:
Given
Curve is [tex]y=x^4-4x^3[/tex]
The stationary point on a differentiable function is the points where the differentiation of the function is zero i.e. slope is zero at that point.
Differentiate the curve [tex]f(x)=x^4-4x^3[/tex]
[tex]\Rightarrow f'(x)=4x^3-12x^2[/tex]
Equate it to zero
[tex]\Rightarrow 4x^3-12x^2=0\\\Rightarrow 4x^2(x-3)=0\\\Rightarrow x=0,0,3[/tex]
Put [tex]x=0,3[/tex] in the function [tex]f(x)=x^4-4x^3[/tex]
[tex]\Rightarrow f(0)=0\\\Rightarrow f(3)=3^4-4(3)^3\\\Rightarrow f(3)=81-108\\\Rightarrow f(3)=-27[/tex]
Therefore, the stationary points are [tex](0,0), (3,-27)[/tex]
A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila
grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now?
Answer:
13.9
Step-by-step explanation:
13.85 feet far up the side of the house will the ladder reach now.
Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.
What is heights and distances in trigonometry?In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.
Let the distance between base of house to foot of the ladder be x.
Using Pythagoras theorem 26²=24²+x²
⇒ 676 = 576 + x²
⇒ x² = 100
⇒ x =10 feet
Mila grabs the ladder at its base and pulls it 12 feet farther from the house.
Now, the distance between base of house to foot of the ladder = x+12
= 10+12 = 22 feet.
So, up the side of the house the ladder reach = 24-h
Then, 26² = (24-h)²+22²
⇒ 676 = (24-h)²+484
⇒ (24-h)² = 192
⇒ (24-h) = √192
⇒ (24-h) = 13.85
⇒ h = 24-13.85
⇒ h = 10.15 feet
Therefore, 13.85 feet far up the side of the house will the ladder reach now.
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Um vendedor de frutas saiu com 372 bananas se eu voltar para casa trazer 129 bananas quantas bananas ele vendeu operação e resposta?
Responder:
243
Explicação passo a passo:
Dado que :
Número inicial de bananas = 272
Número de bananas devolvidas com = 129
Para obter o número de bananas vendidas, usamos a operação de subtração do número de bananas com que ela saiu de casa e do número de bananas com que voltou.
Portanto, número de bananas vendidas:
372 - 129 = 243
(2x-4)^2 please solve with steps
Answer
what is the equation equal to
Step-by-step explanation:
If thats the only thing they give it is (2x-4)(2x-4)
Answer:
4x - 16
Step-by-step explanation:
2x x 2x = 4x (2x^2)
4 x 4 = 16 (4^2)
You had to distribute that ^2.
Keep the SUBTRACTION sign.
therefore your answer is:
4x - 16
Find the factors of x3−7x−6
(x+3)(x+2)(x−1)
(x−3)(x+2)(x+1)
(x−4)(x−2)(x+1)
(x−6)(x−1)(x+1)
Answer:
B. (x−3)(x+2)(x+1)Step-by-step explanation:
Possible options are 1 or 2 as each has odd number of negative coefficients.
Open parenthesis and verify:
(x+3)(x+2)(x−1) = ³ + 4x² + x - 6, false(x−3)(x+2)(x+1) = x³ - 7x - 6, true
CAN SOMEONE PLZ HELP ME ON THIS ONE
Answer:
Both are true
Step-by-step explanation: When the letter has this (') that means it parallel
aka being mirrored
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Answer:
D. (8,0), (4,0)
Step-by-step explanation:
they both on tha line
I’m just confused help!
Answer:
Step-by-step explanation:
180
answer this MATH question thank you :)
Answer:
K
Step-by-step explanation:
By altering the initial height, you change the h-intercept. That will affect the maximum height and the t-intercept.
Answer: K
Answer:
post a new question so we can talk
Step-by-step explanation:
For an upcoming election, 500 registered voters were surveyed on a tax increase. 43% were for a tax increase and 51% were against a tax increase. The margin of error was 6%. What is an accurate conclusion from the poll?
a. Against a tax increase will win because it is above 50%.
b. The nal result is undecided because of the margin of error.
c. The nal result is undecided because percentages do not add up to 100%.
d. Against a tax increase will win because the margin of error will increase their percentage.
The area of a rectangle if the length is 5 more than 4 times the width, what's the algebraic expression for this question
The area of a rectangle if the length is 5 more than 4 times the width, the algebraic expression for this is, A = (4b + 5) × b
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Given that,
The length is 5 units more than 4 times the width
Suppose,
length = l
width = b
So, according to given condition
l = 4b + 5
Now, the area for rectangle is
A = length × width
A = l × b
A = (4b + 5) × b
Hence, the algebraic expression is (4b + 5) × b
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The area of a room is 28 sq.cm.If the length of the room was 1m less and its breadth was 2m more than it would be in the shape of a square.Find the length and breadth of the room?
Answer:
Length = 7cm
Breadth = 4cm
Step-by-step explanation:
The shape of the room is original my in a square shape
Area of a rectangle = Length × Breadth
Area = 28 cm²
Length = L - 1
Breadth = B + 2
Hence
28 = (L - 1)(B + 2)
b(b + 3) = 28
b² + 3b = 28
b² + 3b - 28 = 0
b² +7b - 4b - 28 = 0
What is the area in square meters of the trapezoid below
Answer:
69.3 meters squared
Step-by-step explanation:
1) Think of the shape as being divided into two sections (a rectangle and a triangle)
2) multiply 5.2 times 7 to find the area of the rectangle (36.4)
3) subtract 5.2 from 14.6 to find the base of the triangle (9.4)
4) multiply 9.4 by the height of the triangle 7 (65.8)
5) divide 65.8 by two because a triangle is half of the needed rectangle
6) this leaves 32.9
7) add 32.9 and 36.4 to get your final answer of 69.3 meters squared
hope this helps :)
can someone help please what is the answer?
[tex]\frac{1}{2}q = - 24\\q = - 24 * 2\\q = - 48[/tex]
Answer:
The answer is q= -48
Step-by-step explanation:
The steps to solve are:
Combine multiplied terms into a single fraction.
Next, multiply by one.
Then, eliminate common denominators.
After that, cancel multiplied terms that are in the denominator.
Finally multiply the numbers.
The length of a rectangle is 9 centimeters more than half
the width. Find the length if the perimeter is 60 centimeters.
Answer:
l = 16 cm
Step-by-step explanation:
Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".
The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.
We can substitute 60 for P and w/2 + 9 for l.
2(w/2 + 9) + 2w = 602w/2 + 18 + 2w = 60 w + 18 + 2w = 603w + 18 = 603w = 42w = 14Substitute w = 14 into the equation for length l.
l = w/2 + 9 l = 14/2 + 9 l = 16The length of the rectangle is 16 cm.
Do the side lengths 9,12, and 17 form a right triangle?
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.
longest side = 17 and 17² = 289
9² + 12² = 81 + 144 = 225 ≠ 289
Then the triangle is not right
What is the volume of this cylinder?
Use 3.14 and round your answer to the nearest hundredth.
14 mm
7 mm
4300( 4308.08)
Your welcome
So all you have to do is multiply the radius by itself. So in this case 14x14=196.
So then multiply that by pi aka 3.14. So 196x3.14=615.44 then multiply that by your height in this case its 7 So 615.44x7=4308.08
Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research. They each walked at a constant rate, but their rates were different. 3. a. How fast was Diego walking in miles per hour?
Answer:
3 miles per hour
Step-by-step explanation:
It is given that Diego and his friends took part in a walk a thon to raise money for cancer research.
From the table, it is given that:
Time took by Diego in hours = 2 hours
Miles walked by Diego in miles = 6 miles
Therefore, Diego is walking with a speed of = [tex]$\frac{6}{2}$[/tex]
= 3 miles per hour
just a simple question, if you guys dont mind.
(2 x 10^5) x (3 x 10^4)
give your answer in standard form
(answer and you’ll get 20 points)
Answer:
6x10⁹
Step-by-step explanation:
so we regroup them
(2×3)×(10⁵×10⁴)
6×10⁵+⁴
=6×10⁹
Answer:
Below.
Step-by-step explanation:
(2 x 10^5) x (3 x 10^4)
= 2 x 3 x 10^5 x 10^4
= 6 x 10^(4+5)
= 6 x 10^9.
brilliance for the right answer
What does 1 cc mean?
1 cubic inch
1 cubic centimeter
1 cubic feet
1 cubic liter
1 cc (cubic centimeter) refers to a unit of volume in the metric system. It is equal to one cubic centimeter, which is equivalent to one milliliter (ml).
The abbreviation "cc" is commonly used in medical and scientific contexts to represent small volumes, especially when measuring liquids or medications.
A cubic centimeter (cc) is a unit of volume that is commonly used in the metric system. It is equivalent to a cube with edges measuring one centimeter each. The cubic centimeter is often used to measure the volume of small objects or quantities of liquids.
To better understand the size of a cubic centimeter, it can be visualized as the volume occupied by a sugar cube or a small dice. It is a relatively small unit of volume, and larger volumes are typically expressed in terms of liters or cubic meters.
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Write this number in standard form.
Seven hundred nine
thousand eight hundred
thirty-one
Answer:
709,831
Step-by-step explanation:
709,831
Answer:
709831
Explanation
Convert 0.5 liters to milliliters.
Answer:
500 millilitres
Step-by-step explanation:
I hope it will help you
Answer:
Step-by-step explanation:
1 litre = 1000 millilitres
0.5 Litre = 500 milliliters
I need help!!! Can someone answer this? It’s very simple!
Answer: The greatest common factor od 12 and 18 is 6
Step-by-step explanation:
-4(3x+2)-5x what is the answer to this question?
Answer:
Step-by-step explanation:
-4(3x+2)-5x
-12x - 8 - 5x
Solving like terms
-17x - 8
If you want to find the value of x then
-17x - 8 = 0
-17x = 8
x = 8/-17
Answer: -17x - 8
Step-by-step explanation:
First, we distribute the -4 into the parenthesis:
-4(3x + 2) - 5x
-12x - 8 - 5x
Now, we combine like terms:
-12x - 8 - 5x
-17x - 8
You can't simplify this expression any further because of the variable, so this is your final answer :)
A store charges 17 1 2 % GCT on all sales. What is the total cost of a 3 shirts if 1 is marked at J$1200?
Question 18 of 25
In a group of 40 students, the probability that at most 15 of them like to hike
is 47%. What is the probability that at least 16 of them like to hike?
A. 44%
B. 38%
C. 62%
D. 53%
Answer:
D 53 is the answer I just took the test
Answer: 53
Step-by-step explanation: taking the test
solve for X.
Should be a decimal.
Please help me
GEOMETRY
And please let me know how you solved it thank u!
Answer:
x = 6
Step-by-step explanation:
In the picture :) Hope that helped!
help me asap please, i really need it.
THERE ARE TWO ANSWERS FOR EACH QUESTION, PLEASE PROVIDE BOTH ANSWERS FOR EACH QUESTION TO EARN FULL CREDIT. BE SURE TO NUMBER YOUR ANSWERS.
cos 48° = b / √(a²+b²)
tan 48° = a/b
sin 48° = a / √(a²+b²)
Given
BAI BD
mZCBD = 40 +52
m ABC = 82 - 10°
Find mZCBD:
B
D
Answer:
m∠CBD=68°
Step-by-step explanation:
BA is perpendicular to BD, meaning they form a right angle (90°)
This means m∠CBD + m∠ABC=90, or they are supplementary.
We have expressions given for these angles, so
4x+52+8x-10=90
12x+42=90
12x=48
x=4
Knowing x=4, we can substitute back into our expression for m∠CBD because that's what we're looking for.
4(4)+52=68
m∠CBD is 68°.