x=2y-1
3x-3y=9
a. substitution; (7,4)
b. elimination using multiplication; (3, 2)
C. substitution; (4,7)
d. elimination using multiplication; -21,-10)​

Given:

Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."

To find:

The derivative [tex]\dfrac{dy}{dx}[/tex].

Solution:

Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]

Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]

We have,

[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]

Differentiate with respect to x.

[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]

Using chain rule and quotient rule, we get

[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]

Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].

Answer:

31.98

Step-by-step explanation:

78 * .41 = 31.98

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

Answer:

0.64 Fraction: 16/25   Percent: 64%

55%  Fraction: 11/20    Decimal: 0.55

0.16    Fraction: 4/25           Percent: 16%

17/100  Decimal: 0.17            Percent: 17%

0.35       Fraction: 7/20        Percent: 35%

28%     Fraction: 7/25          Decimal: 0.28

62.5%    Fraction:  5/8          Decimal: 0.625

Step-by-step explanation:

Answer:

C) 4 < x < 12

Answer:

bts

Step-by-step explanation:

BTSSS SSSSSSSTU6T

Answer:

for every one cat there are 4 dogs

Step-by-step explanation:

11 : 44

11÷1 : 44÷11

1 : 4

Answer:

12.5%

Step-by-step explanation:

it easy

12.5 percent

its simple

Answer:

idrk

Step-by-step explanation:

a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.Answer:

Step-by-step explanation:

a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.

Answer:

slope = -2/3

Step-by-step explanation:

rise over run

Answer:

y-intercept: (2,0)

x-intercept: (0,3)

slope: -2/3

Step-by-step explanation:

Answer:

55 complete days

Step-by-step explanation:

It is given that Jo is diabetic and she uses three doses of insulin in one day. One dose of insulin is 0.06 ml and one bottle has 1 cl of insulin.

We know, 1 cl = 10 ml

So the insulin bottle contains 10 ml of insulin.

1 dose = 0.06 ml

3 doses = 0.06 x 3

              = 0.18 ml

So Jo takes 0.18 ml of insulin in one day.

Dividing 10 ml by 0.18 ml, we get

[tex]$=\frac{10}{0.18}$[/tex]

[tex]$=\frac{1000}{18}$[/tex]

= 55.55

So, the bottle will last for 55 complete days.

Answer:

x=5.889

Step-by-step explanation:

2(9x6)=18x+2

108=18x+2

106=18x

x=106÷18

x=5.888888889

Answer:

$192

Step-by-step explanation:

That's all I

got

Answer:

75/100

=15/20

3/4

The probability is3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

[tex]1.25\cdot10^{5}[/tex] [tex]or[/tex] [tex]125000[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]1)[/tex] [tex]64\cdot10^{6}[/tex] = [tex]64000000[/tex]

[tex]2 )[/tex] [tex]32\cdot10^{6}[/tex] = [tex]32000000[/tex]

[tex]3)[/tex] [tex]16\cdot10^{6}[/tex] = [tex]16000000[/tex]

[tex]4)[/tex] [tex]8\cdot10^{6}[/tex] = [tex]8000000[/tex]

[tex]5)[/tex] [tex]4\cdot10^{6}[/tex] = [tex]4000000[/tex]

[tex]6)[/tex] [tex]2\cdot10^{6}[/tex] = [tex]2000000[/tex]

[tex]7)[/tex] [tex]1\cdot10^{6}[/tex] = [tex]1000000[/tex]

[tex]8)[/tex] [tex]5\cdot10^{5}[/tex] = [tex]500000[/tex]

[tex]9)[/tex] [tex]2.5\cdot10^{5}[/tex] = [tex]250000[/tex]

[tex]10)[/tex] [tex]1.25\cdot10^{5}[/tex] = [tex]125000[/tex]

[tex]--------------------------------------------[/tex]

The way I solved this question was by dividing each scientific form by two.

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer: I agree with the other person, and are there any options for the other two parts?

Answer:

1. 4

2. 6

3. 11

Step-by-step explanation:

Plug each number into the equation (in place of x) to get the answer.

1. f(-2) = -2+6 = 4

2. f(0) = 0+6 = 6

3. f(5) = 5+6 = 11

Answer: 20 examiners.

Step-by-step explanation:

We know that 10 examiners need 6 hours to mark all the papers.

Then if R is the rate at which one examiner can mark all the papers, we have the equation:

(10*R)*6h = marking all the papers = 1

(i will use the 1 to represent the complete task)

then we have:

(10*R)*6h = 1

60h*R = 1

R = 1/60h

This means that only one examiner would need 60 hours to mark all the papers.

This time, we have N examiners, and they marked the same amount of papers in 3 hours, then we have thee equation:

(N*R)*3h = 1

(N*1/60h)*3h = 1

N*(3h/60h) = 1

N*(1/20) = 1

N = 1/(1/20) = 20

N = 20

This time, there are 20 examiners.

Answer:

Step-by-step explanation:

total metre = 10m

If one piece is 4m then 2m more then that = 4 + 2 = 6m

So total = 4 + 6 = 10m

Answer:

The answer is "1:2"

Step-by-step explanation:

Let 96 car sales are X and 96 truck sales are Y  And income from 97 cars is 0.89X, income from 97 trucks is 1.07Y

[tex]\to \frac{(0.89X+1.07Y)}{(X+Y)}=1.01\\\\\frac{X}{Y}=?\\\\\to \frac{(0.89X+1.07Y)}{(X+Y)}\ \ \text{Divide by Y and get}\ \ \frac{( \frac{0.89X}{Y}+1.07)}{(\frac{X}{Y}+1)} =1.01\\\\[/tex]

Then

[tex]\to \frac{X}{Y}=1:2[/tex]

Answer:

180° - (90° + 30°) = 180° - 120° = 60°

Step-by-step explanation:

there are 180° inside of a triangle

the square means that the angle is 90°

Answer:

Step-by-step explanation:

Proportion can be defined as the effect of changing one quantity on the other.

Given that

‘c’ is directly proportional to‘d’

It can mathematically be written as:

c∝d

A constant is introduced in the equation when the proportionality symbol will be removed. The constant is called constant of proportionality

[tex]c =kd[/tex]

Given that

c = 24 when d = 4

Putting the values

[tex]24 = k(4)\\k = \frac{24}{4}\\k = 6[/tex]

Putting the value of k

[tex]c = 6d[/tex]

Putting d = 8

[tex]c = 6(8) = 48[/tex]

Putting c = 54

[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]

Hence,

Answer:

44

Step-by-step explanation:

[tex] (\sqrt{99} - \sqrt{11})^2 =  [/tex]

[tex] = (\sqrt{9 \times 11} - \sqrt{11})^2 [/tex]

[tex] = (3\sqrt{11} - \sqrt{11})^2 [/tex]

[tex] = (2\sqrt{11})^2 [/tex]

[tex] = 2^2 \times (\sqrt{11})^2 [/tex]

[tex] = 4 \times 11 [/tex]

[tex] = 44 [/tex]

Answer: 44

Answer:

[tex] \huge - \frac{8}{11} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{16 - 8}{9 - 20} = \frac{8}{ - 11} = - \frac{8}{11} \\ [/tex]

We have the final answer as

[tex] - \frac{8}{11} \\ [/tex]

Hope this helps you

Answer:

[tex] \huge \boxed{ \boxed{ \tt - \frac{8}{11} }}[/tex]

Step-by-step explanation:

let (20,8) and (9,16) be start and end points respectively

according to the question

and we are done

Answer:

The question at the top is:

Factor  

x 2 + 2 x − 63

using the AC method.

( x − 7 ) ( x + 9)

WHICH THE ANSWER IS (B)

The question at the bottom is:

Factor  

x 2 + 18 x + 80

using the AC method.

( x + 8 )  ( x + 10 )

WHICH IS ANSWER (C)

Step-by-step explanation:

Hope this helped! :)

Answer: Its 39x + 45

Step-by-step explanation:

yes

Answer: i don't really know this but i think it´s (3,4)

Step-by-step explanation:

Answer:

it 180 degree try to add them all the subtract with 180 and that equals x

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

The angles of a triangle always add up to 180°. This means that (x+46) + 52 + 92 = 180.

First, subtract 92 from both sides of the equation to get (x+46) +52 = 88. Then, subtract 52 from both sides of the equation to get x + 46 = 36. Finally, subtract 46 from both sides of the equation to get x = -10

Answer:

C. 22,400.

Step-by-step explanation:

62.9% = 0.629 as a decimal fraction.

Total number of employees in small businesses in the county

= 270 * 132.

So the estimated number with less than $1000 savings

= 270 * 132 * 0.629

= 22,417.