The product of 3 consecutive even integers is equal to the cube of the first plus the square of the second plus twice the square of the third. Find the integers. Please show work.

Answers

Answer 1

Answer:

6, 8 and 10  and  -2, 0, 2

There are two roots x = -2 and 6,    

but the since I don't believe 0 is an even number the answer is 6, 8 and 10

I was incorrect according to G0ggle zero is an even number so another answer is  -2, 0, 2

Step-by-step explanation:

read the question and convert the English to mathematics

x, y and z    even consecutive number

y = x+2

z = y+2 = x+4

and

xyz = x³ + y² + 2z²                                   substitiute x terms  in for y and z

x(x+2)(x+4)  = x³ + (x+2)² + 2(x+4)²           solve for x by graphing on DEMOS

                                                                 x = -2, 6  solved algebraically below

x = -2   y=0   z=2

x = 6    y=8   z=10

Checked both answers

xyz = x³ + y² + 2z²

-2(0)2 = -8 + 0 + 8                  when x = -2

   0   =  0

and

6(8)(10)  =  6³ + 8² +2(10)²      when x = 6

   480   =  216+64+200

             =  480

x(x+2)(x+4)  = x³ + (x+2)² + 2(x+4)²                           solved algebraically

(x²+2x)(x+4)   = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + x² +4x +4 + 2x² + 16x + 32

x³ + 6x² + 8x = x³ + 3x² + 20x + 36

      3x² - 12x - 36 = 0         factor out the 3

      3[x² - 4x - 12] = 0

       3(x+2)(x-6) = 0     x = -2 and -12


Related Questions

I need help im struggling plz help ​

Answers

Answer:

I believe the circumference is 37.699

HOPE I HELPED!

PLEASE GIVE BRAINLIEST!

Step-by-step explanation:

Answer:

37.68 cm

Step-by-step explanation:

The photo shows the diameter as 12cm

The formula for the circumference of a circle is [tex]2\pi r[/tex]

If the diameter is 12, the radius is 6

[tex]2 \pi 6[/tex] = 2 x 3.14 x 6 = 37.68

Write (2/3)^2 in expanded form,​

Answers

Answer:

4/9, or 0.4∞

but 0.4∞ has a repeating decimal, so the expanded form is ∞ also

HELP PLEASE!!! WILL CROWN BRAINLIEST....
The temperature on Sunday was 7 C. The temperature dropped 8 C on Monday
and dropped twice as much on Tuesday. What was the temperature on Tuesday?

Answers

Answer: - 17 C

Step-by-step explanation: 7 - 8 is negative 1 and twice as much of 8 is 16. -1 minus 16 is negative 17 (-17).

pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you

Answers

Answer:

Median is the middle line of the box, Lower quartile is the number of the lower end of the box, Upper quartile is the line at the larger end of the box, Maximum is the largest number in the box plot (end of right whisker), Minimum is the lowest number (end of left whisker).

Step-by-step explanation:

32.

Median: 88

Maximum (largest number): 102

Minimum (lowest number): 38

Interquartile range:

96 - 72 = 24

b.

25 % higher

75 % lower?

c.

You can see the range is more towards the right of the box meaning they have higher scores, and that the median or middle is a higher number so it means that most of the students understood and did well on the test.

???.

First quartile: 16

Second: 19

Third: 20

Range: 4

34.  Since they are already in least to greatest order, all we have to do is graph it!

85 - 99 is 2

100 - 114 is 1

115 - 129 is 5

130 - 144 is 6

I need help with (G)

Answers

Answer:

[tex]2^{5}[/tex]

Step-by-step explanation:

The graph of which function(s) will contain the point (4, 12)?

y = x + 8
y = 3x
y = 2x
y = x + 6

(one or more than one)

Answers

Answer:

y=3x

Step-by-step explanation:

help I will give brainiest if you do the last ones​

Answers

Can A can hold more than can B

1/3 of your birthday cake is leftover from your party. If you eat 1/4 of the leftover cake, what fraction of the original birthday cake is left

Answers

Answer:

a twelth= 1/12

Step-by-step explanation:

answer easy question quick ​

Answers

Answer:

Step-by-step explanation:

a) 9.80- 98/10

b) 7.3- 73/10

a) 7/100- 0.07

b) 82/10- 8.2

Hope this helps

Fraction:

a) 98/100

b) 73/10

Decimal:

a) 0.07

b) 8.2

Hey guys I really need help please help me

Answers

The answer could be 111? If you need to get 180 but I can’t remember exactly if you need to get to 180

Answer:

I believe x would be 30

Step-by-step explanation: When you add 20+10 it will give you the other triangle side, which is  30, and then 22+11 will be 33. And for the final side 24+12 will give you 36

henry ford had 900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 car parts and the rate of 99999999999999999999999999999999999999999999999999999999999999999999 x 99999999999999999999999999999999999999999. how many car parts will he have?

Answers

Answer:

900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

I will give 50 points for the answer

Answers

Answer:

nosee

Step-by-step explanation:

The student forgot about the tenth and hundredth place value.
17.5 and 17.05 are different
Make them same place value
17.50 and 17.05
.50 is greater than .05
The correct answer would be 17.5>17.05

A small company has a fleet of 3 pickup trucks and 4 delivery vans. A larger company has the same ratio of pickup trucks to delivery vans. If the larger company has 45 pickup trucks, how many delivery vans does it have?

Answers

Answer:

60 delivery vans

Step-by-step explanation:

Smaller company:

Pickup truck : delivery van = 3 : 4

If the larger company has 45 pickup trucks

Let x = number of delivery vans

Larger company:

Pickup truck : delivery van = 45 : x

Equate both ratios

3 : 4 = 45 : x

3/4 = 45/x

Cross product

3 * x = 4 * 45

3x = 180

x = 180/3

x = 60

x = number of delivery vans = 60


For this data set, the best measure of center is the
, and its value is

Answers

Answer:

median, 60

Step-by-step explanation:

Answer:

it is 60 my friend.

Step-by-step explanation:

the bakers at a bakery can make 160 bagels in 4 hours. how many bagels can they bake in 6 hours? what is the rate per hour

Answers

Answer: they can make 240 bagels in 6 hours and the rate per hour is 40

Step-by-step explanation:

Find ZUWT helpp plzz dont put links

Answers

Answer:

i can't see clear

2/5+3/6 GETS BRAINLIEST​

Answers

Answer:

27/30

Step-by-step explanation:

yepyffghhhhgghjj

Answer:

9/10 or 0.9

Step-by-step explanation:

When adding fractions, you look at each of them as an equal number, or a whole.

25+36

91

So, now all we have to do is convert it to it's closest form. (In tenths, since we are adding tenths.)

90

And it would be 9/10, or 0.9

Hope this helps!

1 point
Ravi is shooting arrows at a target. The experimental probability that one
will hit a bull's eye is 12. If Ravi shoots 20 arrows, how many times can he
expect to hit a bull's eye?
O 10
O 20

Answers

Answer:

20

Step-by-step explanation:

The answer is 20 you’re welcome

Hey I'm Chloe Can you Help Me I will give Brainlest, Thank you :)
Pythagoras lived over 2500 years ago. What is his theorem and why do we still use it today?

Answers

Answer:

The Pythagorean Theorem is helpful for two-dimensional navigation.   You can use it along with two lengths to calculate the shortest path. The lengths north and west will be the triangle's two wings, and the diagonal will be the shortest line separating them.  The same principles can be used for air navigation. He is best known in the modern day for the Pythagorean Theorem, a mathematical formula which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.

- Hope this helps! :)

Jaelynn rolled a number cube that has sides labeled 1 to 6. What is the probability that she rolled a 2 or a 4?

Answers

6 possibilities

Rolling a 2 is 1/6
Rolling a 4 is 1/6

2 or 4 is 1/6 + 1/6
2/6
1/3 or 33.3% chance

help pls Evaluate.



​​ 169−−−√ ​



Enter your answer in the box.

Answers

Answer:

square root is 13

Step-by-step explanation:

Answer:

13!

Step-by-step explanation:

i used my calculator and did the test k-12! its right!

pls helpppppp !!
tysmmmm <33

Answers

Answer:

180

Step-by-step explanation:

From basic rules of a triangle we know that the interior angles of a triangle have to add up to equal 180°

But here is a formula for future references for finding the sum of the interior angles

interior angle sum = (n-2)180

where n = number of sides

and here is an example:

a triangle has 3 sides so we plug in 3 for n

(3-2)180

3-2=1

1*180 = 180

so the interior angles add up to equal 180

During a blind taste test of 8 different sodas, some people were asked to choose a favorite. Each dot represents one person. If the ratio of people choosing B to people choosing H stays the same, he many people will choose H if the number of people who choose B increases to 20​

Answers

Answer:

20:5

Step-by-step explanation:

1. What is the ratio for B and H?

Ratio = 4 to 1 or 4:1

2. What is the question asking?

The question is increasing 5 to 20. What is the quotient of 20 and 5? 4! The question is basically multiplying B by 5. Now, since math is a very jealous subject, it needs to be done on the other side too! So you need to multiply the B, which is 1, by 5.

3. 1 x 5?

5

4. Answer

So, since B is 20 and H is 5, the ratio would be 20:5!

Hiii, so I REALLY want to rank up, and I just need 4 more Branliests, so if you liked my answer, can you please give me one? Thank you so much, and thanks for the points!!

Answer:

Step-by-step explanation:

J

what is the answer to
-6x+4(-2+8y)- 2y+ 4

Answers

Answer:

− 6 + 3 0 − 4

Answer:

do you mean simplify the expression?

-6x+4(-2+8y)- 2y+ 4

-6x - 8 + 32y - 2y + 4

-6x + 30y + 4 - 8

-6x + 30y - 4

3x+5⁰ 2x-25⁰ supplementary angles​

Answers

Answer:

x=40, ∠ACB=125, ∠ACD= 55

Step-by-step explanation:

In order to solve this, you have to find the x-value. We know that these angles are supplementary, which means that the angles, ∠ACB and ∠ACD, both add up to 180°.

With this information, we can conclude 3x+5+2x-25=180.

To solve this equation for x,

1. Combine like terms

5x-20=180

2. Add 20 to both sides

5x=200

3. Divide both sides by 5.

x=40

Now we have the x-value. All we have left to do is plug that in to both of the equations for the angles.

1. ∠ACB: 3(40)+5

120+5

∠ACB = 125

2. ∠ACD: 2(40)-25

80-25

∠ACD = 55

Answer:x=40

Step-by-step explanation:

5x-20=180

5x=200

X=40

Explain how you can tell whether the sum of two integers is positive or negative, before adding them.

Answers

Answer:

The sum of any integer and its opposite is equal to zero. adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.

Answer:

Step-by-step explanation:

The sum will have the same sign as the integer with the greater magnitude.

Example:  the sum of -11 and 5 is -6, where the 6 takes the sign of -11 (which has a greater magnitude than does 5).

A running track consists of two parallel lines that are connected at each end but the curved boundary of a semicircle. The parallel lines are 30 meters long and 7 meters apart. Fine the area inside the running track.

Answers

Answer:

The area inside the running track is 248.5 m².

Step-by-step explanation:

The area inside the running track is given by the sum of the area of a rectangle and the area of a semicircle:

[tex] A_{t} = A_{r} + 2A_{c} [/tex]                

[tex] A_{t} = x*(2r) + 2*(\frac{\pi r^{2}}{2}) [/tex]      

Where:

x: is one side of the rectangle = 30 m            

r: is the radius = half of the other side of the rectangle = 7/2 m = 3.5 m

Hence, the total area is:

[tex] A_{t} = 30*7 + \pi (3.5)^{2} = 248.5 m^{2} [/tex]                            

Therefore, the area inside the running track is 248.5 m².

I hope it helps you!                                                    

find cos B in the triangle

Answers

Answer: A: 5/13

Explanation: Cos = Adjacent/ Hypotenuse

One house key weighs 1/2
ounce.
Which model represents the total weight in ounces of 5 house keys?

Answers

Answer: 5/2

Step-by-step explanation:

If 1 house key weighs 1/2 ounce,

Then do 5×1/2 which is 5/2

or [tex]\frac{1key}{5key} \frac{1/2ounce}{?}[/tex]

With this cross multiply and get 1x=5/2

giving a total of 5/2 again when divided by 1.

what is 7 8/9 written as a decimal

Answers

The number 7 8/9 as a decimal is 7.89
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