find three consecutive even integers if the third is 8 less than twice the second

Answers

Answer 1

Answer:

8, 10, 12

Step-by-step explanation:

Because they are even there is a whole number x so that (1st)2x, (2nd) 2x+2, and (3rd)2x+4 are the 3 consecutive integers.

so

If the third is 8 less than twice the 2nd then:

 3rd   = 2 (2nd) - 8

2x + 4 = 2 (2x+2) - 8

2x + 4 = 4x + 4 - 8

2x + 4 = 4x - 4         Add 4 to each side

2x + 4 + 4 = 4x - 4 + 4

2x + 8 = 4x    Subtract 2x from each side

2x - 2x + 8 = 4x - 2x

8 = 2x         Divide each side by 2

8/2 = 2x/2

8/2 = x

4 = x

No we plug into our equations to find the integers.

2x = 2(4) = 8    

2x + 2 = 2(4) + 2 =  8 + 2 = 10              

2x + 4 =  2(4) + 4 =  8 + 4 = 12

So our integers are 8, 10, 12


Related Questions

Please I need help with this

Answers

Answer:

2

Step-by-step explanation:

MARKING BRAINLIEST!! PLEASE HELP ME.

A. Name the angle relationship.

B. Find the value of x and show your work.

Answers

Answer:

Complementary angle

Step-by-step explanation:

It adds up to 90 degrees

Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long. Point C is on the line x = −1. If the area of ΔABC is 6 square units, then find a possible y-coordinate of point C.

A: 6
B: 7
C: 8

Answers

C:8 is the answer my guy welcome

Answer:

A.  6

Step-by-step explanation:

Segment AB is on the line y = 2 and is 3 units long.

Point C is on the line x = −1.

FIND:

If the area of ΔABC is 6 square units, then find a possible y-coordinate of point C.

SOLUTION:

Area of a triangle = 1/2 b * h

segment AB is a horizontal line

the base of our triangle and point C is somewhere on the height.

If we can find the height of the triangle, we can add or subtract that height from y = 2 to get the possible y coordinate of point C.

We know that the x coordinate is -1 so,

6 = 1/2 (3) h

12 = 3h

h = 4

we can either add 4 or subtract 4 to the y coordinate of 2 to get the possible y coordinate of point C.

option 1

2 + 4 = 6 so the coordinate for C could be (-1, 6) or

option 2

2 - 4 = -2 so the coordinate for C could also be (-1, -2).

Since -2 is not in our choices but 6.

therefore,

the answer would be A. 6

Amira is told there is a trick to finding the slope within an equation in standard form, Ax+By=C. She is told she can rewrite this equation in slope-intercept form, y=mx+b, to find the pattern. She correctly rewrites the equation 7x+9y=14 in slope-intercept form as y=− 7/9x +14/9. Which answer explains the pattern for how to find the slope using an equation in standard form?


A. In slope-intercept form, the slope is 14/9. These values are C and A, but with the opposite sign, so the slope of the line from the equation in standard form is − C/A.

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

C. In slope-intercept form, the slope is 14/9. These values are C and B, but with the opposite sign, so the slope of the line from the equation in standard form is − C/B.

D. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − B/A.

Answers

Answer:

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

Step-by-step explanation:

Let's convert the standard equation into slope-intercept form:

Ax + By = C              ⇒ subtract Ax from both sidesBy = -Ax + C             ⇒ divide both sides by By = -A/Bx + C/B        ⇒ converted to slope- intercept form

As we see the slope is -A/B

The equation 7x + 9y = 14 is converted as:

y = -7/9x + 14/9, where the slope is -7/9

Looking at the answer options and the correct one is option B, where both identification of slopes match.

B. In slope-intercept form, the slope is − 7/9. These values are A and B, but with the opposite sign, so the slope of the line from the equation in standard form is − A/B.

3(2 exponent2 +4) help

Answers

Answer:

16

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 8.5
B. 8.2
C. 13
D. 4

Answers

Answer:

B. 8.2

Step-by-step explanation:

[tex] In\: \triangle ABC, \:\angle ABC= 90\degree \: \&\: BD\perp AC[/tex]

So, by geometric mean property.

[tex] BD = \sqrt {AD\times CD} \\

BD = \sqrt {13\times 4}\\

BD = \sqrt {52}\\

Next\: in \: \triangle BDC, \:\\

By\: Pythagoras \: theorem \\

m^2 = BD^2 + CD^2 \\

m^2 = (\sqrt {52}) ^2 + (4)^2 \\

m^2 =52 + 16\\

m^2 =68\\

m =\sqrt{68} \\

m = 8.24621125\\

m = 8.2 [/tex]

A store normally sells a floor lamp for $83.99. The store is having a sale that reduces the lamp's price by 15%. How much does the lamp cost during the sale?​

Answers

The answer should be $71.39

select three ratios that are equivalent to 11 : 1​

Answers

Answer:

33:3 22:2 44:4 55:5 66:6

Step-by-step explanation:

what are your options? comment them if I didn't include them

A collection of objects, places, or people with common properties or qualities is called a ______. set median data mean

Answers

Answer:

collection of data

Step-by-step explanation:

frank is 5 years younger than twice the age of his cousin Alonso. Frank is 17 years old. Which equation could be used to determine a, alonzos age?

Answers

Answer:

Hi there!

Your answer is:

17= 2A-5

Alonzo is 11

Step-by-step explanation:

Frank=2A -5

Frank = 17

17= 2A-5

A = Alonzo's age

Alonzo's age is:

17= 2A-5

+5

22 = 2A

/2

11= A

pllssss help !!! Which table of values will generate this graph? On a coordinate plane, points are at (negative 3, negative 2), (negative 1, 0), and (1, 2). A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, negative 1, 1. Column 2 is labeled y with entries negative 2, 0, 2. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 3, 0, 1. Column 2 is labeled y with entries negative 2, negative 1, 2. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, 0, 2. Column 2 is labeled y with entries negative 3, negative 1, 1. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 2, negative 1, 2. Column 2 is labeled y with entries negative 3, 0, 1.

Answers

Answer:

D!

Step-by-step explanation:

edge2020

Answer:

its D

Step-by-step explanation: the numbers are graphed on line duh

¿Cuánto es 20% de 500?​

Answers

Answer:

100

Step-by-step explanation:

20% = 0.2

0.2 * 500 = 100

Answer:

100

Step-by-step explanation:

[tex]20\% \:es\:500[/tex]

[tex]\frac{20}{100}\times 500\\[/tex]

Convertir elemento a fracción

[tex]500=\frac{500}{1}\\\\=\frac{500}{1}\times \frac{20}{100}[/tex]

Factor común de cancelación cruzada 100

[tex]=\frac{20}{1}\times \frac{5}{1}\\\\=\frac{20\times \:5}{1\times \:1}\\\\=\frac{100}{1}\\\\=100[/tex]

A) (-6) - (+3) =

Please put the working also​

Answers

Rewrite expression as -6-3

Calculate the difference -6-3=-9

Answer:

-9

Step-by-step explanation:

A) (-6) - (+ 3) = -6 -3 = -9

Please help me!!!! I need to identify the point of rotation and label them PQR and XYZ

Answers

the red triangle is a rotation, the red one is a reflection. hope this helps

Solve for x: 3x - 5 = 2x + 6​

Answers

Answer:

3x - 5 = 2x + 6  

Step one- Subtract 2x to isolate the variable  

X – 5 = 6  

 

Step two- Add 5 to continue to isolate the variable  

X = 11  

 

Your answer is      x = 11  

 

Hopefully this helps! Feel free to mark brainliest!

Answer: x=11

Step-by-step explanation:

3x-5=2x+6

+5. +5

3x=2x+11

-2x -2x

x=11

Cameron challenges you to race on the first turn you run off the Course and your car strikes a large bale of hay. your car still produces 5000 Newtons of force but now it accelerates at 2 m\s2. what is the mass of your car now that the bail of hay is stuck to it?

F= ?
M= ?
A = 2m /s2

Answers

How is it possible to find an answer with only one given

50 POINTS NOW!! Which inequality is equivalent to the given inequality plz help

Answers

-4(x + 7) < 3(x - 2)

Let's simplify this inequality

-4x - 28 < 3x - 6

Subtract 3x from both sides and add 28 to both sides

-7x < 22

Answer choice B is correct

Answer:

-7x < 22

Step-by-step explanation:

1. -4(x+7) < 3(x-2)

distribute -4 to x and 7, distribute 3 to x and -2.

2. -4x-28 < 3x-6

add 28 to 28 to cancel it out, add 28 to -6.

3. -4x < 3x+22

subtract 3x from 3x to cancel it out, subtract -3x from -4x.

4. -7x < 22

the final product! the answer is B. -7 < 22. since there was no multiplication or division, there's no need to switch < to >. hope this helps! :)

8=4(q-2)+4
Please help

Answers

Answer:q=3

Step-by-step explanation:

Answer:

so, q=3

Step-by-step explanation:

8=4 (q-2)+4

8=4q-8+4

collect like terms

8=4q-4

8+4=4q

12=4q

divide by 4 both sides

12/4=4q/4

3=q

mark me as brainliest plyyyzzz

Graph the line with the equation y=1/6 + 7

Answers

Hey there!

[tex]Answer:\boxed{\text{Slope:}0}\boxed{\text{y-intercept:}(0,\frac{43}{6}) }[/tex]

Graph coming up right below!

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

How different is Algebra 2 from Pre-Calculus? I've heard that they're almost the same, is that true? Also what topics do you learn in Pre-Calculus?

Answers

Answer:

Algebra is just algebra but precalculus has algebra and other things. I forget what its called but I think in precalculus you also learn beginner level trigonometry and some other things. I know its not an exact answer but I hope it helps.

Long division always uses the same pattern of steps. Explore several different problems to discover this pattern. What is the step that follows multiplication? divide multiply subtract bring down

Answers

Answer:

Subtract

Step-by-step explanation:

I did the problem

The graph represents a mechanic’s labor costs for a given number of hours of car repair. A graph titled Car Repairs. The horizontal axis shows Labor Time (hours) numbered 0.25 to 2.5, and the vertical axis shows Labor Costs (dollars), numbered 25 to 250. The line remains constant at $50 dollars over 1 hour, then increases sharply. The line remains at 50 dollars from 0 to 1 hour, then move upward to end at 175 dollars at 2.5 hours.

Answers

Answer:

A: All repairs requiring 1 hour or less have the same labor cost.

Step-by-step explanation:

Answer:

A: All repairs requiring 1 hour or less have the same labor cost.

Step-by-step explanation: all right!

. The graph of the linear function g(x) = 2x - 2 is shown.

Answers

Complete Question:

The graph of the linear function g(x) = 2x - 2 is shown. The graph of f(x) = ()x is the graph of g(x) = 2x - 2reflected over the y-axis.

Which graph represents g(x)?

Answer:

[tex]f(x) = -2x - 2[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 2x - 2[/tex]

Required

Determine f(x)

When a graph g(x) is reflected over the y axis, the resulting function is:

[tex]f(x) = g(-x)[/tex]

Solving for g(-x)

[tex]g(x) = 2x - 2[/tex]

[tex]g(-x) = 2(-x) - 2[/tex]

[tex]g(-x) = -2x - 2[/tex]

Recall that [tex]f(x) = g(-x)[/tex]

[tex]f(x) = -2x - 2[/tex]

help! i cant figure this out.

Answers

Answer:

65 cm squared

Step-by-step explanation:

Find the value of x.
(3x + 7)º
(4x – 18)°
X =

Answers

Answer:

X=25

Step-by-step explanation:

3x+7 = 4x-18

Subtract 3x from both sides

7=x-18

Add 18 to both sides

25=x

What is a requirement of complementary angles?

Answers

Answer:

Complementary angles always create a right angle and measure to 90°.

Answer:

The measures of complementary angles must add up to 90°.

(FLVS)

Step-by-step explanation:

Does anyone know the answer ?

Answers

B is the answer...

Step-by-step explanation:

So what youll wnat to do is figure out what the angle is.Its a right angle, a right angle is 90° . so what youll do is take 90° - 36° = 54°

B. 54

Because 90 - 54 give you 36 which gives you 90 degrees due to it being a right angle

What two numbers have a product of -2 and a sum of 7

Answers

Greetings from Brasil...

According to the statement of the question, we can assemble the following system of equation:

X · Y = - 2      i

X + Y = 7       ii

isolating X from i and replacing in ii:

X · Y = - 2

X = - 2/Y

X + Y = 7

(- 2/Y) + Y = 7     multiplying everything by Y

(- 2Y/Y) + Y·Y = 7·Y

- 2 + Y² = 7X     rearranging everything

Y² - 7X - 2 = 0      2nd degree equation

Δ = b² - 4·a·c

Δ = (- 7)² - 4·1·(- 2)

Δ = 49 + 8

Δ = 57

X = (- b ± √Δ)/2a

X' = (- (- 7) ± √57)/2·1

X' = (7 + √57)/2

X' = (7 - √57)/2

So, the numbers are:

(7 + √57)/2

and

(7 - √57)/2

31 increased by 14? ​

Answers

Answer: 45

Step-by-step explanation

31+14=45

Start from the back

4+1=5

3+1=4

Then put them together

45.

Answer:

45

Step-by-step explanation:

31 increased by 14

= 31 + 14 = 45

Hope this helps

plz mark as brainliest!!!!!!!!!!

                                    3     1

                               +    1     4  

                                 -----------------

                                    4     5

                                 ------------------

6x + 14
Factor the polynomial using GCF

Answers

The answer is 2

2(3x)+14
2(3x)+2(7)
2(3x+7)
Other Questions
which are made matters One element of ethical research consists of being open minded while researching and ensuring that data is leading your thoughts and not your own bias. Choose the element of ethical research that best describes these ideals. ASAP!!! Please help!!! what should Susan say to the customer about the delivery date for the item 1. What is the difference between a dictatorship and an absolute monarchy?Monarchs come into power through coup d'tats. Dictators come into power through inheritance.Dictators are accepted as legitimate rulers because of tradition. Monarchs come into power by force.Monarchs come into power by force. Dictators come into power through inheritance.ODictators come into power by force. Monarchs come into power through inheritance. Enzos priority is to build more skateboards and get more customers, but his company has been losing customers due to the amount of time it takes to build a custom skateboard. He needs to focus on time-effectiveness over cost-efficiency for a month to be able to acquire more customers. What should Enzo do? Hire two more employees and spend an additional $3,000 on compensation to produce 1,200 skateboards for the month. Hire one more employee and spend $1,500 on compensation to produce 600 skateboards for the month. Get help from a friend at no cost to produce 500 skateboards for the month. Work day and night to produce 400 skateboards for the month. LIMITED TIME HELP!! Find the midpoint of the line segment with the given endpoints.(-4,7), (3,8) A large mixing tank initially contains 1000 gallons of water in which 40 pounds of salt have been dissolved. Another brine solution is pumped into the tank at the rate of 5 gallons per minute, and the resulting mixture is pumped out at the same rate. The concentration of the incoming brine solution is 3 pounds of salt per gallon. If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is Select the correct answer What is the value of f(-2)? The Shia did not think that caliphs had to be related to Muhammad.Please select the best answer from the choices providedTF Are the lines parallel, perpendicular, or neither? c Line 1:3y+6=2x Line 2:2y3x=6 Divide: 6 12Choose the expression that shows the correct way to use the rule multiply by the reciprocal. One-sixth times StartFraction 2 Over 1 EndFractionStartFraction 6 Over 1 EndFraction times one-half6 times 2One-sixth times one-half List the four workplace trends discussed in the lecture Find the midpoint M of the line segment joining the points C = (4, - 7) and D = (-6, -3). 21+ 6m=3(m-1) not sure what to do here How did the Anasazi and Pueblo peoples use the land? When Apple introduced its iPhone 11 with Slofie (slow-motion selfie) capability and a high price tag, it used_______ to avoid direct competition with Samsung,Google, and others. City workers plan to build a picnic shelter in apark. They must first clear a square-shapedsection of ground so the foundation can be poured.The area of the foundation will be 200 ft?.Which expression represents the side length of thefoundation, in feet?Answer is A help asap with domain and range. 9f+16=70 whats the anwerrr plzzz