Please help ASAP. Differentiating polynomials

Please Help ASAP. Differentiating Polynomials

Answers

Answer 1

Answer:

Step-by-step explanation:

If the function is

[tex]y=x^2-4x[/tex], then its derivative is

y' = 2x - 4. This is equal to 0 where

2x - 4 = 0 and

2x = 4 so

x = 2. When x = 2 in the original equation:

[tex]y =2^2-4(2)[/tex] so

y = -4. So the coordinate is (2, -4). On to the next one:

If the function is

[tex]y=25x +\frac{1}{x}[/tex] then its derivative is

[tex]y'=25-\frac{1}{x^2}[/tex]. This is equal to 0 where

[tex]25-\frac{1}{x^2}=0[/tex] and

[tex]-\frac{1}{x^2}=-25[/tex] or, in simpler terms:

[tex]\frac{1}{x^2}=\frac{25}{1}[/tex] so

[tex]25x^2=1[/tex] and

[tex]x^2=\frac{1}{25}[/tex] so

x = ±[tex]\sqrt{\frac{1}{25} }[/tex] so

x = [tex]\frac{1}{5},- \frac{1}{5}[/tex]. When you plug those into the original equation, you get the coordinates

[tex](\frac{1}{5},10)[/tex] and [tex](-\frac{1}{5},-10)[/tex]


Related Questions

Find the area of this circle. Use 3 for pi

Answers

Step-by-step explanation:

given pi value= 3

radius=7

we know,

area of a circle(A)= πr²

= 3×7²

=147cm²

Answer:

A = 147 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Area of a Circle Formula: A = πr²

r is radius

Step-by-step explanation:

Step 1: Define

Identify

r = 7 cm

Step 2: Find Area

Substitute in variables [Area of a Circle Formula]:                                         A = 3(7 cm)²Evaluate exponents:                                                                                         A = 3(49 cm²)Multiply:                                                                                                             A = 147 cm²

A pair of fair dice each numbered 1 to 6 is tossed . Find the probability of a score of :
i. two odd numbers.
ii. a sum of 8 or a sum of 12.
ii. both prime or both odd numbers.

Answers

Answer:

i)

Odd numbers:

1, 3, 5 - 3 options of 6

P(odd and odd) = 3/6*3/6 = 1/4

ii)

Total outcomes:

6*6 = 36

Sum of 8:

2 + 6, 3 + 5, 4 +4, 5 + 3, 6 + 2 - 5 options

Sum of 12:

6 + 6 = 12 - 1 option

P(8 or 12) = 5/36 + 1/36 = 6/36 = 1/6

iii)

Prime numbers:

2, 3, 5 - 3 options of 6

Odd numbers:

1, 3, 5 - 3 options of 6

P(prime or odd) = 3/6*3/6 + 3/6*3/6 = 1/4 + 1/4 = 1/2

help 0-0-0-0-0-0-0-0-0-0-0-0-0-0

Answers

Answer:

(12,0)

Step-by-step explanation:

So whenever you are asked for an "intercept" it is the point where a line crosses the axis. The x intercept is where the line crosses at the x axis (horizontal line on the graph) and the y intercept is where the y axis crosses (vertical axis).

So this question is really asking where is the point when y = 0

The x values in the chart are 5 apart-- 22 +5 = 27, 27+ 5 = 32

The y values are 18 apart --> 36 + 18 = 54, 54+ 18 = 72

Make a little chart where y = 0 (this is where the x crosses) and you can see

there is a point at (17, 18) and then (12, 0) and that point is the x intercept.

Answer:

(12, 0)

Step-by-step explanation:

the x-intercept is the point, where y=0.

so, the second coordinate is therefore 0, no matter what.

now, at what x is that ?

let's find the line function.

a line is

y = a×x + b

let's use the first point (22, 36)

36 = a×22 + b

a = (36 - b)/22

let's use the second point (27, 54)

54 = a×27 + b

now we use the first expression describing a in terms of b and insert that into the second expression.

54 = 27×(36 - b)/22 + b

54×22 = 27×(36 - b) + 22b = 972 - 27b + 22b

1188 = 972 - 5b

216 = -5b

b = -43.2

=>

a = (36 - -43.2)/22 = (36 + 43.2)/22 =79.2/22 = 3.6

our line is

y = 3.6x - 43.2

so, now back to the question, at what x is y=0 ?

0 = 3.6x - 43.2

3.6x = 43.2

x = 12

9
Find the area of the triangle.
Please help

Answers

Answer:

[tex]6ft^2[/tex]

Step-by-step explanation:

The formula to find the area of a triangle:  [tex]A=\frac{1}{2} bh[/tex]

The base is 4 because 2 + 2 = 4

[tex]A=\frac{1}{2}( 4)(3)[/tex]

[tex]A=\frac{1}{2} (12)[/tex]

[tex]A=6[/tex]

Hope this helps

Answer:

A) The first one for whole triangle = 6ft^2

or

B) The second one for blue  = 3ft^2

Step-by-step explanation:

T1 Area = 1/2 x 3 x 4 = 6ft^2

T2 Area = 1/2 x 3 x 2 = 3ft^2

T3 Blue Area = 6-3 = 3ft^2

If Z={x:x€ integrates -2<×<2}.List the elements of this set and also express it in description method. ​

Answers

Answer:

Z = {-1, 0, 1}

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."

Step-by-step explanation:

I guess that here we have:

Z = {x : x ∈ integers /  -2 < x < 2}

From this we know that:

Z contains only integer numbers.

Z contains only integer numbers that are larger than -2, and smaller than 2

Let's find these integers:

-1 is larger than -2 and smaller than 2

0 is larger than -2 and smaller than 2

1 is larger than -2 and smaller than 2

So our set is:

Z = {-1, 0, 1}

And in description method (just using words)

"The set Z is the set of integer numbers that are larger than -2 and smaller than 2."


This square and a triangle have the same area.
8 cm
? cm
9 cm
What is the length of one side of the square??
cm

Answers

Answer:

[tex]18cm[/tex]

Step-by-step explanation:

A of triangle =

[tex] \frac{1}{2} bh[/tex]

[tex] \frac{1}{2} \times 9 \times 8[/tex]

[tex] = 36cm2[/tex]

A of square=

[tex]s2[/tex]

[tex]36 = s2[/tex]

[tex] \sqrt{36cm2} = \sqrt{s2} [/tex]

[tex]18cm = s[/tex]

Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?

Answers

Answer: The sequence generated is 10, 8, 6, 4, 2, ...

This sequence is arithmetic with starting term 10 and common difference -2. This means we add -2 to each term to get the next one (same as subtracting 2 from each term). This common difference is directly connected to the -2 from the recursive rule f(n+1) = f(n)-2

Whatever the nth term f(n) is, we subtract off 2 to get f(n)-2 to get the f(n+1) term, which is right after the nth term.

Answer:

Step-by-step explanation:

f(1)=10

n=1

f(1+1)=f(1)-2

f(2)=10-2=8

n=2

f(2+1)=f(2)-2

f(3)=8-2=6

n=3

f(3+1)=f(3)-2

f(4)=6-2=4

so sequence is 10,8,6,4,...

which segments are congruent?

Answers

Answer:

LN and NK

Step-by-step explanation:

line LK was bisected (cut in half) by JM

the segment created by the bisector will be congruent

If a is an odd number, b is not divisible by 3 and LCM of a and b is P, what is the LCM of 3a and 2b?

Answers

Answer:

The LCM of 3a and 2b = 6P

Step-by-step explanation:

LCM of  3 a  and  2 b  will be  6 p

Since  a  is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......

b  is not divisible by  3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....

LCM of a and b is P

Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )  

Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)

So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)

The LCM of 3a and 2b = 6P

       

Q 18. Find the volume of a cylinder of diameter = 4 mm & height = 8 mm. Round to the nearest tenth if necessary. *
A. V= 131.1 mm^3
B. V= 116.9 mm^3
C. V= 100.5 mm^3
D. V= 230.0 mm^3

Answers

Answer: 100.5

Step-by-step explanation:

multiply 3.14 by 2 to the 2nd power by 8. so first 2 to the second power is 4. Then 4x8 is 32. Final step is to multiply 3.14 by 32 to get 100.48. Then you gotta round to get 100.5.

Fragrant Fields Greenhouse sells rose bushes for $19.90 each. Last weekend, they made $477.60 on rose bushes. How many rose bushes did they sell?

Answers

Answer:

24 brushes

Step-by-step explanation:

Given data

cost per brush= $19.90

Amount made =$477.60

hence the number of brushes sold is given as

Number of brushes= 477.60/19.90

Number of brushes= 477.60/19.90

Number of brushes= 24 brushes

the equation cos(x)( cos(x)-tan(x)sin(x)) simplifies to

Answers

I am sorry but I do not know but if someone else know help

Express 60g as a percentage of 3kg?

Answers

Answer:

SOLUTION IS ON PICHOPE IT HELPS YOUMARK AS BRAINLIST ANSWER

NEED ANSWER(s)!!! THANK YOU!!!

Answers

Answer: A. Sea otter (5 meters below sea level) Fish(1 meter below sea level) and Bird (4 meters above sea level)

B. Fish is closest to sea level by only 1 meter, Bird is 4 meters above sea level, so it would be second, and Sea Otter is the farthest from Sea level because it is 5 meters under sea level

Step-by-step explanation: that is my explanation, and to explain what i said, 0 is sea-level

SUPER IMPORTANT AND I NEED HELP 30 points if you answer
Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3
Polygon Y's area is what fraction of Polygon X's area?

Answers

Answer:

1/9th

Step-by-Step Explanation:

The area is measured in units squared, then you have to square 1/3 which is 19th.

Answer:

1/9

Step-by-step explanation: i think so

It takes 26 recyclable plastic soda bottles to make one polyester suit. How many bottles will be needed to make one dozen suits??

Need your help.

Answers

Answer:

It would take 312 bottles to make one dozen suits.

Step-by-step explanation:

One dozen suits = 12 suits.

As each suit costs 26 plastic soda bottles to make, we simply multiply 26 bottles by 12 suits to get 312 bottles.

What is cramer's rule ??

Answers

Cramer's rule is an explicit formula for the solution of a system of linear equations. That has many equations as unknowns and valid whenever the system has a unique solution. 

Answer:

Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.

Two parallel sides of a trapezium are 120 cm and 154cm and the other sides are 50 cm and 52 cm. Find the area of trapezium.

Answers

6576 cm2

See the image encrypted above.

Write the equation in slope-intercept form from the graph

Answers

Answer:

[tex]1) y=\frac{1}{2} x+1[/tex]

[tex]2)y=-x-1[/tex]

[tex]3)y=-\frac{1}{2} -3[/tex]

Step-by-step explanation:

Hope this helps

In converting 14 hours to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 minutes in 1 hour.

Answers

Answer:

The unit I would place in the denominator of my ratio is minutes

Step-by-step explanation:

1 hour = 60 minutes

Converting 14 hours to minutes

= 14 hours/ x minutes = 1 hour /60 minutes

x minutes = 14 × 60 minutes

= 840 minutes

14 hours = 840 minutes

Therefore,

The unit I would place in the denominator of my ratio is minutes

Given: AD diameter of Circle P. If m 1 = 40°, then m AB = A)80 B)40 C)20

Answers

Answer:

20

Step-by-step explanation:

lol

Answer:

20

Step-by-step explanation:

find the value of (1) sin 60°+cis 30°/ tan 30°*tan 60°​

Answers

Answer:

sin60°+cos30/tan30*tan60

1/2+√3/2/1

1+√3/2

PLEASE HELP: Click on the graph to choose the correct answer to the equation.


y > 2

(Choose one of the graphs from the image as the answer)

Answers

Answer:

The 8th graph.

Step-by-step explanation:

It has a horizontal line over two which indicates that the y axis is known and over 2.

The required graph of the given inequality y > 2 is shown in the attached file, which is the correct answer that would be an option (H).

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been the given  inequality y > 2

Plot the "y=" line (a solid line for y or y, and a dashed line for y or y>). The shade above the line for a "greater than" (y> or y), or below the line for a "less than" (y or y).

It has a horizontal line over two which represents that the y-axis is known and over 2 in the attached graph.

Therefore, the required graph of the given inequality y > 2 is shown in the attached file.

Hence, the correct answer would be option (H).

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

What is the length of the hypotenuse of the right triangle? Enter your answer in the box.

image

Answers

Answer:

10 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

let h be hypotenuse, then

h² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

h = [tex]\sqrt{100}[/tex] = 10

The hypotenuse is 10 ft

Answer:

the answer is 10 but you can ask your friends too

Step-by-step explanation:

h=p2+b2

root under 8 square +6 sqaure

root under 64±36

root Under 100

equals 10

i uses to learn like this but I'm not sure

A circle has a radius of 6cm. What is the area of a sector subtended by an angle of 30 degrees

Answers

Answer:

1/12 of the area of the circle

Step-by-step explanation:

Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12

Please help me. I am so confused right now and I need to turn this in asap.

Answers

Answer:

sorry only doing the ones im sure of

a)

FBC is half the circle, so the angle would = 180.

180 - 135 = 45, so thats the angle between BC

its a vertical angle, so it would be the same on the other side, between FE

the only angle left is betweeen DC, so add them all up and minus by 360

360 - 306 = 54

b)

a triangle's angles add up to 180, so

49 + 70 = 119

180 - 119 = 61

since this is an inscribed angle that isnt connected to the center, the arc will be double the angle

so ? = 122

d)

5(8) = 40

40/4 = 10

x = 10

f)

the rest of the circle is 243 bc 360-117=243

243 - 177 = 126

126/2 = 63

PLSSSS HELP fast pls !!

Answers

Answer:

16p^2 - 9

Step-by-step explanation:

Use FOIL method of multiplication

PLS ANSWER CORRECT
I WILL REPORT OR BAN YOU IF INCORRECT
I WILL MARK HIM BRAINLIST AND RATE 5 WHO ANSWERS CORRECT
THANKS A LOT​

Answers

Step-by-step explanation:

The AB is equal to AC because They are straight lines that both came from the same point Which is A. which shows congruecy or similarity

Dylan is saving money to buy a new bike that costs $195. He has $25 already saved and plans to save $40 each week. Which equation can be used to find the number of weeks he will need to save money to buy the bike?

Answers

Answer:

25+40x=195

Step-by-step explanation:

If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).

Volume How many fluid ounces are in each size?



1 cup = 8 oz. 1pint = 2 cups. 1 quart = 2 pints. 1 gallon = 4 quart



1 Quart = _________fl oz

Answers

Answer:

32

Step-by-step explanation:

a quart is four cups 8,16,24,32 so 32

Answer: 1 Quart is equal to 32 fluid ounces (oz).

Step-by-step explanation:

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