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Given:

The arithmetic mean of three consecutive even integers is 20.

To find:

The equation that can be used to find the integers.

Solution:

Let the three consecutive even integers are x, x+2 and x+4.

We know that,

[tex]\tex{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

The arithmetic mean of three consecutive even integers is:

[tex]\tex{Mean}=\dfrac{x+(x+2)+(x+4)}{3}[/tex]

It is given that, mean = 20. So,

[tex]\dfrac{x+(x+2)+(x+4)}{3}=20[/tex]

Therefore, the correct option is E.

Answer:

cv 454546

Step-by-step explanation:

ZCCVZv dD

Answer:

Ummm yeah , i'm literally a nice person and a good listener .

Step-by-step explanation:

Can i pls have brainly ? <3

Answer:

yes

Step-by-step explanation:

hjoyybhfddsjjsjajajdhvdbenwkwq

Answer: 2x-6x^2

-2x*-1 = 2x

-2x*3x=-6x^2

−6x2+2x

Step-by-step explanation:

(−2x)(−1+3x)

=(−2x)(−1+3x)

=(−2x)(−1)+(−2x)(3x)

=2x−6x2

=−6x2+2x

The function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2. The correct answer would be an option (D).

The inverse function is defined as a function obtained by reversing the given function. To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

As per the options, we have

f(g(x))=x is expressing f is the inverse of g.

f(g(x))=x is expressing f is the inverse of g but g is not the inverse of f, g(f(x))≠x.

f(g(x))= g(f(x)) is expressing the composition of functions f(g(x)) is equal to the composition of functions g(f(x)), but not necessarily inverses. It doesn't define each equal x.

f(g(x))=x and g(f(x)) =x is expressing f is the inverse of g and g is the inverse of f.

Thus, the function pairs are inverses as f(x) = 2x-3 and g(x)=(x+3)/2.

Hence, the correct answer would be an option (D).

Learn more about inverse functions here:

brainly.com/question/2541698

#SPJ2

Answer:

-1

Step-by-step explanation:

slope = ΔY  / ΔX  = 5/(-5)=-1

b

Step-by-step explanation:

Answer:

m< 3 = 76°, m< 3 = 104°, m< 3 = 76°,

Step-by-step explanation:

360°

m< 1 = m< 3 → 76° (76°*2 = 152°)

360° - 152° = 208°

208°/2 = 104°

m< 2 = m< 4 → 104°

The answer fam is............  A. Hundreds

The hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

We have:

A young equestrian loved to ride her horse all day long, dreaming of the day she would ride in the Kentucky Derby.

She left home at 10:00 am and rode her stallion at a nice, steady 10 miles per hour away from her house

The rate = 10 miles/hour

Father's scooter rate = 15 miles/hour

Based on the data given the number of minutes the father must ride his scooter before catching up to his daughter should measure on a scale of hundreds.

Thus, the hundreds are the scale you would measure the number of minutes the father must ride his scooter before catching up to his daughter option (A) is correct.

Learn more about the rate here:

brainly.com/question/12786410

#SPJ2

Answer:

Step-by-step explanation:

P = pizza slices

S= soda drinks

98 = 23*P + 31*S

Answer: the first one is a matrix. the second one is functional.

Step-by-step explanation:

Answer:

If a company has departments such as Video Game Marketing, Movie Marketing, and Toy Marketing, it probably has a  

✔ matrix

organizational structure.

If a company has departments such as Sales, Marketing, Operations, and Human Resources, it probably has a  

✔ functional

organizational structure.

If a company has departments such as Northwest, South, and Northeast, it probably has a  

✔ divisional

organizational structure.

Answer:

b

Step-by-step explanation:

because X= the amount of time hes on each machine. so 8 times x

Answer: B

Step-by-step explanation:A P E X

Answer:

train tracks

Step-by-step explanation:

They have simple rotations and movemental frequences

Answer:

The domain is the input value of x, which can be any real number.

There is no inequality.

Set notation x | E R. ( all real nUmbers)

Interval. Oration (-infinity, infinity)

Range: set x to 0 and solve:

3(0)^2 + 2 = 2

The lowest value is 2 and goes to infinity.

Inequality is >=

Set notation Y | >= 2

Interval notation : [2, infinity)

End behavior they both go to infinity .

Answer:

The value of the amplitude is -2

Step-by-step explanation:

The given parameters are;

The vertex of the parabola = (-2, 1)

The point through which the parabola passes = (0, -7)

The equation of the parabola can be expressed as follows;

y - y₀ = a·(x - x₀)²

Where;

y₀ = The y-coordinate of the vertex = 1

x₀ = The x-coordinate of the vertex = -2

Therefore, we substitute the known values of the coordinates of a point  the parabola to get;

-7 - 1 = a·(0 - (-2))²

-8 = 4·a

a = -8/4 = -2

The value of the amplitude a = -2.

Answer:

12

Step-by-step explanation:

12 / 2 = 6

19 - 6 = 13

Answer:

12

Step-by-step explanation:

19-13 is 6

Half of 12 is 6

Answer:

14, 16, and 18

Step-by-step explanation:

hope this helps!

Answer:

a and b connect to d in the slope

Step-by-step explanation:

Answer:

Aight mate

Step-by-step explanation:

So every triangles angles will add up to 180 degrees no matter the triangle. Now a circle is 360 and a line is 180. Look at the line that A and C are on this line equals 180. So angle c and d added together make 180 and angles a b and c added together make 180. so if a+b+c = c+d then a+b=c. I hope thaqtmakes sense.

Answer:

Step-by-step explanation:

As both are selling half of their stamps, the ratio won't change. It will be same:

Reason:

Georgia : Julie = 2 : 1

Let total stamps = x

Part of stamps that Georgia has = 2/3 of x

Part of stamps that Julie has = 1/3 of x

[tex]\frac{1}{3}x=64\\\\x = 64*3\\\\x= 192[/tex]

Total stamps = 192

Stamps with Georgia = 192 - 64 = 128

After selling half of his stamp, Georgia has  = 128÷2  = 64

After selling half of her stamp, Julie has  = 64 ÷ 2  = 32

Ratio of stamps after selling half of their stamps = 64 : 32

                              = 2 : 1

 The ratio of collectible rocks Juanita owns to rocks that Aisling owns is 3:1. Aisling has 32 rocks. How will the ratio of Juanita’s rocks to Aisling’s rocks change if they both sell one fourth of their rocks? Explain.

Juanita : Aisling = 3 : 1

Let total rocks = x

Part of rocks that Juanita has = 3/4 of x

Part of rocks that Aisling has = 1/4 of x

[tex]\frac{1}{4}x=32\\\\x = 32*4\\\\x= 128[/tex]

Total rocks = 128

Rocks with Juanita = 128 - 32 = 96

After selling one fourth of his rock, Aisling has  = 32 ÷  4 = 8

After selling half of her rock, Juanita has  = 96 ÷ 4  = 24

Ratio of rocks after selling one fourth of their rocks =24 : 8

                              = 3 : 1

Answer:

5) -12 1\2

6)  -3

Answer:

2(10x+6)2+24x+60

20x+12=62+24x

20x-24x=62-12

-4=50

[tex]x = - \frac{25}{2} [/tex]

Answer: what is X and y?

Step-by-step explanation:

SP of a machine = Rs. 990

Profit% = 10 %

SP of other machine = Rs. 1960

loss% = 2 %

his gain or loss percentage​

We know that,

CP * (100 + profit%)/100 = SP

So,

First machine :

CP * (100 + 10)/100 = 990

⟹ CP = 990 * 100/110

⟹ CP = Rs. 900

Second machine :

We know that,

CP * (100 - loss%)/100 = SP

⟹ CP * (100 - 2)/100 = 1960

⟹ CP = 1960 * 100/98

⟹ CP = Rs. 2000

Now,

We have to find the total loss or profit percentage.

We observe that,

SP > CP.

so, a gain is occured.

gain % = gain/CP * 100

gain = SP - CP

So,

gain% = (2950 - 2900)/2900 * 100

⟹ gain% = 50/29

⟹ gain% = 1.72 %

∴ A gain of 1.72% is occured in the whole transaction.

I hope it will help you.

Regards.

Answer:

HELLO SISO❤

IT'S ME YIREN

Step-by-step explanation:

→ CP of machine = (SP * 100) / (100 + Profit%) = (990 * 100) / (100 + 10) = (990 * 100) / 110 = Rs. 900 . Case 2) :- shopkeeper sells another machine for Rs. 1960 at a loss of 2%

Answer:

AC = 24

Step-by-step explanation:

If you subtract C - A, you get

16 - (-8) = 16 + 8 = 24

Answer:

AC=24

Step-by-step explanation: