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Dmitry [639]
3 years ago
15

The expression below is a sum of cubes. 216x3 +64 true or false?

Mathematics
1 answer:
zepelin [54]3 years ago
5 0

Since 216 is the cube of 6, 64 is the cube of 4 and x^3 is the cube of x, we have

216x^3 + 64= (6x)^3+4^3

so the expression is the sum of the cubes of 6x and 4

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Please Help, 35 Points.
Andrei [34K]

To answer this question, we have the start-up costs of $ 52,000

A monthly inflation of $ 0 is assumed

Operating costs  are $680

The daily gain  is $960

For the Part A.

The inequality that this situation represents

 960d-680d>52000

So:

d(960-680)>52000

Where d represents the number of days.

For the Part B.

To start earning, you must replace all the initial investment and cover the expenses per day. The time that must pass for this to happen is obtained by clearing "d" from the inequality.


 d>\frac{52000}{960-680}

d> 185.71 days

Then, the sum of the net profits will be greater than the initial investment after 186 days of starting the business.

4 0
3 years ago
Can you help me with explanation will give brainiest
Ipatiy [6.2K]

Answer:

Area of rectangular garden = lxb = 10*5

                                             = 50 sq. inch

when area increases by six times

new area = 50*6 = 300 sq inches

now,

let x be increasement in both  length and width

(5+x) (10+x) = 300

50 + 5x + 10x + x² = 300

x² + 15x - 250 = 0

x²+ 25x-10x -250 = 0

x(x+25) - 10 (x+25) = 0

( x-10) (x+25) = 0

either x + 25 =0

x = -25 length can be negative

0r x-10 = 0

x = 10

so 10 inches is increase on both side

Step-by-step explanation:

6 0
3 years ago
Steve got his car fixed for $557. After taxes it cost him $594. What was the tax rate to the nearest %?
I am Lyosha [343]
You're nearly there. Just some more steps.
557 * x = 594 tells us 
x = 594 / 557 (divide both sides by 557)
x ≈ 1.066427

When we've found this number we must realise the following:
the '1' in this answer is the 100% the car fixing costs (without taxes)
the '0.66427' stands for the tax rate.

To find the tax rate we multiply 0.66427 by 100, which gives us:
0.66427 * 100 = 6.6427 ≈ 7

So, rounded to the nearest %, the tax rate is 7%
6 0
3 years ago
I know this might be hard but how do you make 0.12 into a fraction
hichkok12 [17]

first you put 12 over 100 and that is 12/100 and then simplify

7 0
3 years ago
Read 2 more answers
Classify the system of equations -1/2 x = -2 - y
allsm [11]
Putting both equations into standard form, we have the system
  x -2y = 4
  x -2y = -12

The lines these equations describe are parallel.

5 0
4 years ago
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