Graph -5 1/4 on the number line. Click on the number line to identify the number's location.

Answer:

The 3rd one

Step-by-step explanation:

The rest have dilations, which change the size of the shape. The rest are literally just moving the shape around.

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:

The average rate will be 2.40 dollars per kg.    

Hence, option D is correct.

Step-by-step explanation:

From the table, it is clear that the order size is located on the x-axis and the price is located on the y-axis.

The price of 100 kg cumin = $450

The price of 600 kg cumin = $1650

so

at x₁ = 100, f(x₁) = 450

at x₂ = 600,  f(x₂) = 1650

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [1650 - 450] / [600-100]

                      = 1200 / 500

                      = 2.4

Therefore, the average rate will be 2.40 dollars per kg.    

Hence, option D is correct.

Answer:

See below!

Step-by-step explanation:

Only the first choice is accurate.

The second choice is incorrect since it doesn't accurately represent the situation described.

The third choice is incorrect since it also doesn't accurately represent the situation described.

The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.

While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.

Answer

Only option 1 is correct

Answer:

what are you asking though

The solution is : she needs at least 16 points.

x + 64 ≥ 80

x ≥ 16

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

Given

Madeline has to earn at least 80 points for her science fair project. So far on the rubric she has 64 points.

so,

Total = 80 (at least)

accumulated = 64

Required

Express as an inequality

In inequalities, at least means ≥

So, the expression is:

Where x represents the additional points

x + 64 ≥ 80

Solve for x

x ≥ 16

Hence, she needs at least 16 points.

To learn more on inequality click:

brainly.com/question/24853349

#SPJ3

Answer:

The answer would be 31,737 elks.

Step-by-step explanation:

You would solve this by multiplying 1.08 by the power of 6 which equals 1.586874322944. You would then multiply this number by 20,000 which equals 31,737.4865 but since you can’t have .4865 of an elk the answer is just 31,737.

I hope this helps

Answer:

Step-by-Step Explanation:

Area of the base = length × breadth

= (4x + 5) (x + 3)

= 4x(x + 3) + 5(x + 3)

= 4x² + 12x + 5x + 15

= 4x² + 17x + 15

_____________________________________

Volume = length × breadth × height

8x³ + 30x² + 13x - 15 = (4x + 5)(x + 3) × h

[tex] \frac{ 8x³ + 30x² + 13x - 15 }{(4x + 5)(x + 3)} = h[/tex]

Answer:

$125,000

Step-by-step explanation:

the cost of the home = (10,000/8)*100 = $125,000

Answer:

125,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

8.00/12= $0.60 a piece

Answer:

D). Mode

Step-by-step explanation:

I hope this helps!! Have a good day!

Answer:

they all are.

Step-by-step explanation:

They all are a measure of central tendency Standard deviation is not. Hope this helps :D

Answer:

Option A "4(-7k+16k+3)" would be the appropriate choice.

Step-by-step explanation:

On solving the equation, we get

⇒ [tex]4(-7k+16k+3)[/tex]

On applying BODMAS rule, we get

⇒ [tex]4(9k+3)[/tex]

Therefore,

⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]

All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.

Answer:

2 hours

Step-by-step explanation:

First, we notice that the time taken to paint a fence is inversely proportional to the number people used because as the number of people increase, the time taken to paint the fence decreases.

5 people can paint a fence in 4 hours.

1 person can paint a fence in = 5 x 4

                                                = 20 hours

10 people can paint the fence in = 20/10

                                                      = 2 hours

plz mark as brainliest

Step-by-step explanation:

3(x+2)-(2x-1)=4(3-x)

3x+6-2x+1=12-4x

3x-2x+4x=12-6-1

5x=5

x=1

Answer:

x=1 2/5

Step-by-step explanation:

3x+6-2x-1=12-4x

x+5=12-4x

  -5   -5

x=7-4x

+4x  +4x

5x=7

/5   /5

x=7/5

x=1 2/5

Answer:

Number of students who do not know = 24

Step-by-step explanation:

Year II students = 240

15% of the students want to go to college.

Number of year II students who wants to go to college = 15% of 240

= 15/100 × 240

= 0.15 × 240

= 36

¾ of the students want to stay at school.

Number of students who wants to stay at the school = 3/4 × 240

= (3 × 240) / 4

= 720 / 4

= 180

Number of students who do not know = Total year II students - Number of year II students who wants to go to college - Number of students who wants to stay at the school

= 240 - 36 - 180

= 24

Number of students who do not know = 24

Answer:

Yes it is.

Step-by-step explanation:

Best way is to use percentages you know when estimating.

We know 50% is half.

50% of 242 is 121.

So it has to be more than 121.

10% of 242 is 24.2  so add that to 121 and you get 145.2

You are 60% so far. You just need 9% more.

Add another 10% which is 24.2 and you get 169.4, which is over but we used 10% instead of 9% so the estimate is reasonable and close.

Answer:

45 mph

Step-by-step explanation:

3/4x60=45

Answer:

88

Step-by-step explanation:

8-1=7

    +3

18-8=10

       +3

31-18=13

        +3

47-31=16

          +3

66-47 = 19

             +3

x - 66 = 22

  +66   +66

x= 88

Answer: 5

Step-by-step explanation: 4 + 3 + -2 = 5

ANSWER:

M = 5

Step 1: Add 1 to both sides of the equal sign

-6m-1+1=31+1

-6m=-30

Step 2: Divide both sides by -6

-6m/6 = -30/-6

(Note: Both -6 values (The denominators) will cancel each other out, which is why the end result is 5 so, again, M=5)

Step-by-step explanation:

1st digit : 1 / 2 / 4 / 5

4th digit : 0 / 2 / 4 / 6 / 8

Total number of sets = 4 * 10 * 10 * 5 = 2000.

Answer:

Your answer is 2.

Step-by-step explanation:

You use the normal way of adition.

 1

+1

___

 2.

Hope this helps!

Answer:

1.) 120.722222206 or  120.72

2.) 650.250000382 or 650.25

Step-by-step explanation:

9514 1404 393

Answer:

  60%

Step-by-step explanation:

Assuming your problem statement is saying that 48 of 80 coffees served were regular, that percentage is ...

  48/80 × 100% = 60%

60% of the 80 coffees served were regular.

Answer:

The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.

the slope of a virtual lin.e is change in Y / change in X

Answer:

b

Step-by-step explanation: