Ind two consecutive even integers such that twice the lesser of two integers is 4 less than two times the greater integer. a. Write and solve an equation to find the integers. Multiple choice question. A) 2n−4=2(n+2); true for all even integers B) 2n=2(n+2)−4; true for some even integers C) 2n=2(n+2)−4; true for all even integers D) 2n−4=2(n+2); true for some even integers Part B Feedback Incorrect 2 tries left. Please try again. Select the correct choices to complete the sentence. b. Does the equation have one solution, no solution, or is it an identity? Explain. It , 1 of 2. is an identity because it is , 2 of 2. false for every pair of consecutive even integers.

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the consecutive even integers be 2n and 2n+2.

lesser integer = 2n

Greater integer = 2n+2

If twice the lesser of two integers is 4 less than two times the greater integer, this is expressed mathematically as;

2(less integer) = 2(greater integer) - 4

Substituting the given integers;

2(2n) = 2(2n+2)-4

2(2n) = 2[(2n+2)-2]

2n = 2n+2-2

2n = 2n

2 = 2

This two values cancels out and become 0 = 0. This equality shows that it is an identity pair and it is true for all even integers.


Related Questions

Solve 3x−5 = 9. (1 point) a x = −3 b x = 2 c x = 7 d x = 8

Answers

Answer:
d) x = 8

Explanation:
3x - 5 = 9
(3x / 3) - 5 = 9/3
x - 5 = 3
x (- 5 + 5) = 3 + 5
x = 8

Answer:

x=7

Step-by-step explanation:

x 3^(x-5)=9 (Original Question)

Check attatched image for explanation

2/5(j+40)=-4 can you show the work plz

Answers

Answer:

-50

Step-by-step explanation:

2/5(j + 40) = -4

j+40 = -4 ÷2/5

j+40 = -10

j = -10 - 40

j = -50

DESCRIBE how a power with a zero exponent (a^0) and a power with a negative exponent (a^−n) can be simplified.

Answers

Answer:

[tex]a^{-n}[/tex] is [tex](\frac{1}{a})^{n}[/tex] OR [tex]\frac{1}{a^{n} }[/tex]

[tex]a^{0}[/tex] = 1, where a ≠ 0

Step-by-step explanation:

To simplify the exponents, you must put it in positive value

Example:

The simplest form of [tex]2^{-3}[/tex] is to change the exponent from negative value to positive value.

You can do that by reciprocal the number, [tex]2^{-3}=(\frac{1}{2})^{3}[/tex]You can write it [tex]\frac{1}{2^{3}}[/tex], because 1 to any power equal 1

That means if you want to simplify [tex]a^{-n}[/tex], reciprocal a and change the sign of the power from -n to n

The simplest form of [tex]a^{-n}[/tex] is [tex](\frac{1}{a})^{n}[/tex] OR [tex]\frac{1}{a^{n} }[/tex]

For any number, a (a ≠ 0), 1 × a = a, so, the reason that any number to the zero power is 1 because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, (1)

Example:

The value of [tex](5)^{0}[/tex] = 1, because it is the product of no numbers, so it is equal to the multiplicative identity (1)

That means [tex]a^{0}[/tex] = 1, where a ≠ 0

Very important note:

[tex](0)^{0}[/tex] is undefined value

I'll give u full brainlist if u do this!


calculate the agerage speed for each sutuation, rounding your answer to two dicimal places where appropriate:

a) a bus travels 876km in 16 hours

b) an athlete runs 10 km in 26.44 minutes ​

Answers

Answer:

a. 54.75

b. 2.64

Step-by-step explanation:

[3b+9]-16=-52
i just want to see if i got the correct answer my answer was
b=-15

Answers

Answer:

yes, the answer is b = -15

Step-by-step explanation:

3(-15) = -45

-45 + 9 = -36

-36 - 16 = -52

so b = -15

A coordinate plane with 4 lines. The first line is labeled a(x) and passes through (2, negative 4) and (0, 2) and continues past (negative 1, 5). The second line is labeled f(x) and passes through (negative 6, negative 6), (negative 3, 0), and (0, 6). The third line is labeled g(x) and passes through (negative 2, negative 7), (0, negative 3), (1, negative 1) and (2, 1). The fourth line is labeled h(x) and passes through (negative 6, negative 6), (0, negative 3), and (6, 0). When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario? a(x) f(x) g(x) h(x)

Answers

Answer:

the answer is g(x)

Step-by-step explanation:

Answer:

G(x)

Step-by-step explanation:

I just did the assignment.

Re-write in standard form: y=3x-6 * Your answer​

Answers

Answer: 3x-y=6

Step-by-step explanation:

Hope this helps

Karen is saving money to buy a game . So far he saved $15 , which is three fourths . How much does the game cost ?

Answers

Answer:

$25

Step-by-step explanation:

Let X = total cost of game

         (3/5) X = $15

Multiply both sides of equation by 5/3

  (5/3)(3/5) X = (5/3) $15

                  X = $25

cost of game is $25

En la casa de Juan, van a pedir pizza para la comida, pero cuando la van a pedir se dan cuenta que deben pedirla por perímetro o área de la misma. La mamá dice que es más grande la de perímetro de 100cm y el papá dice que es más la de área de 100cm². ¿Cuál tiene la razón? *

Answers

Responder:

La pizza con un perímetro de 100 cm es más grande ¿verdad?

Explicación paso a paso:

Deja que la pizza tenga forma circular.

Sea el área de la pizza = πd² / 4 y;

Perímetro de la pizza = πd

d es el diámetro de la pizza

Si la madre dice que el que tiene un perímetro de 100 cm es más grande, para estar seguros necesitamos obtener el diámetro de la pizza. La de mayor diámetro será la pizza más grande.

P = 100cm

100 = πd

d = 100 / π

d = 100 / 3,14

d = 31,85 cm

El diámetro de la pizza mamá es de 31,85 cm.

Si el padre dice que el que tiene un área de 100 cm² es más grande, obtengamos también el diámetro para estar seguros.

A = πd² / 4

100 = πd² / 4

400 = πd²

d² = 400 / π

d² = 400 / 3,14

d² = 127,39

d = √127,39

d = 11,29 cm

Por lo tanto, el diámetro de la pizza padre es de 11,29 cm.

Dado que el diámetro de la pizza madre es mayor que el de esa, la pizza con un perímetro de 100 cm es más grande, lo que demuestra que la madre tiene razón.

Find value of -2/3y-3/4=5

Answers

Answer:

-8.625

Step-by-step explanation:

-8 5/8

How do I write an equation in point-slope form for m=-3 (-2,-1) ?

Answers

ee a solution process below:
Explanation:
The point-slope formula states:
(
y

y
1
)
=
m
(
x

x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through.
Substituting the slope and values from the point in the problem gives:
(
y


1
)
=

3
(
x

2
)
(
y
+
1
)
=

3
(
x

2
)

Answer:

y + 1 = -3(x + 2)

Step-by-step explanation:

Point-slope form is y - y1 = m(x - x1)

m= -3  (-2, -1)

Plug -3 in for the m in the equation, -2 in for x1, and -1 in for y1

y - (-1) = -3(x - (-2))

Subtracting negatives will make them positive

y + 1 = -3(x + 2)

This is the point-slope form, continuing to solve for y will give the y-intercept form.

Y-intercept Form:

y = -3x - 7

Type the correct answer in each box.
What values of a and b make this equation true?
(4 + ✓–49) – 2(/(-4)2 + V–324) = a + bi

Answers

Answer:

-4 , -29

Step-by-step explanation:

The values of a and b that make the equation true are -28 and -9, respectively

How to determine the true values of a and b?

The equation is given as:

(4 + √-49) – 2((-4)² + √–324) = a + bi

Evaluate the exponents

(4 + 7i) – 2(16 + 18i) = a + bi

Expand the bracket

4 + 7i – 32 - 16i = a + bi

Collect like terms

4 – 32 + 7i - 16i = a + bi

Evaluate like terms

-28 -9i = a + bi

By comparison, we have:

a = -28 and b = -9

Hence, the values of a and b that make the equation true are -28 and -9, respectively

Read more about complex numbers at:

https://brainly.com/question/10662770

#SPJ2

Need help asap!
Given that m

Answers

? What’s the question?

work out 7 x 10 to the power of five /2 x 10 to the power of 2

Answers

Answer: 3500

Step-by-step explanation:

7 x 10 to the 5th power = 700000

2 x 10 squared = 200

700000/200 = 3500

Answer:

4201750

Step-by-step explanation:

7*10^5/2*10^2

7*10=70

2*10=20

70^5/20^2

70^5 =1680700000

20^2=400

1680700000/400=4201750

what is 14/16 + 1/5​

Answers

Answer:

27/40

Step-by-step explanation:

           1

Simplify   —

           5

Equation at the end of step

1

:

 14    1

 —— -  —

 16    5

STEP

2

:

           7

Simplify   —

           8

Equation at the end of step

2

:

 7    1

 — -  —

 8    5

and then round the denominator up to 40

multiply 5 times 7 now

multiply 8 times 1

35/40-8/40=27/40

HELP ME PLEAAASEEEEEEEEE
YEA ITS ME AGAIN I NEED HELP

Answers

Answer:

B. 4/3 hours

Step-by-step explanation:

because in smart

Please help me I am so confused it would mean a lot.

Answers

Step-by-step explanation:

1. The midpoint formula says the coordinates of the midpoint are the average of the endpoints.

x = (x₁ + x₂) / 2

y = (y₁ + y₂) / 2

I'll do #2 and #3 as examples.

2. x = (-4 + 10) / 2 = 3

y = (6 + -10) / 2 = -2

So the midpoint is (3, -2).

3. x = (-3 + -6.5) / 2 = -4.75

y = (-8 + -4.5) / 2 = -6.25

So the midpoint is (-4.75, -6.25).

Select the correct answer.
What is the justification for step 2 in the solution process?

12y − 40 − 4y = 6y − 18
Step 1: 8y − 40 = 6y − 18
Step 2: 2y − 40 = -18
A.
the subtraction property of equality
B.
the division property of equality
C.
the addition property of equality
D.
the multiplication property of equality

Answers

Answer:A.

the subtraction property of equality

Step-by-step explanation:

8+10p=12+10p-4
Help me please

Answers

Answer:

p=0

Step-by-step explanation:

subtract 10p from both sides that leaves 8+p=12-4 12-8=4 p=4-4 p=0

convert 3 and 7/8 to decimal

Answers

3.875 is 3 and 7/8 as a decimal

Hope this helped :)

Answer:

Hey!

[tex]3\frac{7}{8}[/tex] in decimal form is 3.875

Step-by-step explanation:

7/8 is 0.875

We just add this to 3 to make 3.875!

I HOPE THIS HELPED!

7 (2x - 9) = 6x – 15
what is this?

Answers

the answers would be x=6
Answer:

X= 6

Explanation:

7 (2x - 9) = 6x -15

14x-63 = 6x - 15

8x = 48

x = 6

HURRY FAST I NEED HELP ASAPThe linear function that is represented by which table has the same slope as the graph? On a coordinate plane, a line goes through points (0, negative 3) and (2, 1). A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9. A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.

Answers

Omg what type of math is this now I can not help u on that one that is 2 much like no cap it is 2 much do u get tired of that like for me that is 2 much math for me like that look like that is 2 much math like I do not understand that like I was going 2 help u but I can try 2 help u but that is 2 much for me 2 look at but anyways good luck with the math problem

(X-7)(3x+2) need answer!!

Answers

Answer: the answer is

=3[tex]x^{2}[/tex]−19x−14  

Step-by-step explanation:  (x−7)(3x+2)

=(x+−7)(3x+2)

=(x)(3x)+(x)(2)+(−7)(3x)+(−7)(2)

=3x2+2x−21x−14

=3x2−19x−14

Simplify the following expression using the commutative and associative properties (combining like terms);
-3x + 7 -12 + 5x
Its not showing a actual answer

Answers

Answer:

the answer will be

2x-5

Convert 0.4 J to kJ.
Please show working

Answers

Answer:

0.0004

Step-by-step explanation:

divide the energy value by 1000

0.4/1000

0.0004. Just like what the other comment said, divide the value of energy by 1000

Round each mixed number to the nearest whole number. Then, estimate the sum.
141 +31

Answers

Answer:

172

Step-by-step explanation:

It is already a whole number so you just add.

A baseball player swings at the ball 56 times over a season and hits 16 times.
What is the ratio of hits to misses?

Answers

Answer:

2:5.

Step-by-step explanation:

Number of misses = 56 - 16 = 40.

Ratio = 16:40

- which simplifies to   (16/8) : (40 / 8)

= 2:5.

Justified” is an option of paragraph formatting in a Word processor. Which of the following contain Justified option?
(1 Point)
Alignment
Orientation
Columns
Borders

Answers

Alignment is the answer to the question

PLZ HELP!!!!! DUE TODAY! 50 POINTS & BRAINLIEST FOR SOMEONE WHO CAN EXPLAIN TO ME WHAT I DID WRONG!!!!!!
p.s. thank you in advance!

Answers

Answer:

all angles are congruent, the smaller is just a dilation, but the angles are all congruent

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Yes.

all the internal angles on both similar triangle are congruent.

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units
x + 4
x + 4
3x + 13
3x + 43

Answers

Answer:

Step-by-step explanation:

Other Questions
5x-10+2x=7+7x-17Choose the Correct answer below:Sometimes trueNever trueAlways true Explain the process to come up with the command forms (imperative) of the following 2 verbs. Give both the singular and plural forms:Poner, cepillarse Add.(2x3+4x2+1)+(x3x24)Express the answer in standard form.Enter your answer in the box. 15. Radioactive nuclei are highly stable and emit radiation to becomeunstable.TRUEFALSE Which of the following is not a characteristic of a state A.its territory is undefined.B. It has a government systemC.it has a unified population D.it is sovereign Evaluate each expression .(-4)(5) + 8-27 divided by 9 - 11(-3)(-6)-7 Show that (3+4)2(34)2(4)(4)=32 Hey Guys...I need help... Not all scientists agree with commonly held views on global warming. Describe at least three issues on which there is some disagreement.And, make a Explanation to this...And, don't guess and... don't try to cheat in goggle... And, don't come in here because... I'm giving points out... natural resources10. Much of Canada's economic activity involvesa. hiringextractingb. depletingd. increasing Claire and her partner, Grace, are throwing for the javelin event as a team. Claire threw the javelin 42 5/8 feet and Grace threw it 39 3/5 feet. How far did the team throw the javelin? Show your work.PLZZZ HELP IM SO CONFUSED TY IN ADVANCE Which correctly lists three characteristics that are used to describe air?altitude, density, radiationdensity, radiation, massmass, pressure, densitypressure, altitude, radiation 3+b = 51 what is this answer If m CHAPTER IITHE SHE-WOLF, an excerptFrom White FangBy Jack LondonBreakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sadcries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.As darkness came on, the hunting-cries to right and left and rear drew closerso close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:"I wisht they'd strike game somewheres, an' go away an' leave us alone.""They do get on the nerves horrible," Henry sympathized.They spoke no more until camp was made.What is the main message of this excerpt of White Fang? Please respond in three to five complete sentences, including specific sections of text to support your answer. 1) a cold air mass and meets warm air mass. what will happen, in terms of the difference in their densities?2) archie needs to find the density of an intricately crafted crown, to see if it is pure gold. he has no trouble measuring mass, but he doesnt know what to do next. what should he do?I NEED HELP PLEASEEE hi there i love oitnb :) The length of the window is 2m longer than its width and the are is 32m Can anyone help please? when was the sand creek masacre ? what does it mean by "determine the equation of a line that passes through the given point. First find the slope" someone please help and give answer ASAP