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malfutka [58]
3 years ago
5

Proportional to 45⁄3?

Mathematics
1 answer:
loris [4]3 years ago
8 0
<span>Proportional to 45⁄3 
= 15/1 or 30/2

hope it helps</span>
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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
algol [13]

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

6 0
2 years ago
What is the slope, m, and y-intercept for the line that is plotted on the grid below? On a coordinate plane, a line goes through
cricket20 [7]

Answer:

m = 2, (0, –2) Im 90% sure

6 0
3 years ago
Read 2 more answers
Please please please help
grin007 [14]

Answer:

hello, i don't know what is answer, beacose im Ukrainian, sorry

8 0
2 years ago
A scientist running an experiment starts with 100 bacteria cells. These bacteria double their population every 15 hours. Find ho
emmasim [6.3K]

Answer

It will take (t) = 24 hours to reach 300 .

Step by step explanation

It doubles every 15 hours.  initial bacteria = 100

We need to find how long it take for the bacteria cells to increase to 300.

300 = 100(2)^t/15

300/100 = 2^t/15

3 = 2^t/5

Taking "ln" both sides, we get

ln(3) = t/15 ln(2)

t/15 = ln(3)/ln(2)

t/15 = 1.585

t = 1.585 * 15

t = 23.78 hours

t = 24 hours to nearest whole hours.

Thank you.


6 0
3 years ago
What is the value of 2 in 0.259
expeople1 [14]
The two is in the tenths place. 
4 0
3 years ago
Read 2 more answers
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