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earnstyle [38]
3 years ago
5

What is the answer to 20-3x=175

Mathematics
2 answers:
Nikitich [7]3 years ago
6 0
Subtract 20 from both sides to get -3x = 155. Divide both sides by -3. X = -51 2/3
NeX [460]3 years ago
5 0
The answer would be 51.6
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Type the correct answer in each box. (____)
trapecia [35]

Answer:

1. -16; 2. +64; 3. 16

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²x

Data:

r = (x - 8)   mm

V = 1024π mm³

Calculations:

1. Find the cubic equation  

V = πr²h

1024π = π(x - 8)² × x

Divide each side by π

1024 = x(x - 8)²  

1024 = x(x² - 16x  + 64)

1024 =    x³ - 16x² + 64x

x³ - 16x² + 64x - 1024 = 0

2. Solve the cubic equation

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is  

f(x) = x³ - 16x² + 64x - 1024

a = 1; d = -1024

According to the <em>rational roots theorem</em>, the possible roots are

factors of d/factors of a

Factors of d = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

Factors of a = ±1

Potential roots are x = ±1, ±2, ±4, ±8, ±16, ± 32, ± 64, ±128, ±256, ±512, ±1024

That's a lot of possibilities to check by trial and error. I will just use the one that works.

Try x = 16 by synthetic division.

16|1  -16   64  -1024

  <u>|     16     0   1024 </u>

   1     0   64        0

So,

(x³ - 16x² + 64x - 1024)/(x – 16) = x² + 64

and

(x - 16)(x² + 64) = 0

x - 16 = 0        x² + 64 =    0

     x = 16       x²         = -64

                       x          =  ±8i

There is only one real root: x = 16 mm

6 0
3 years ago
An initial deposit of $7,000 earns 6.5% interest, compounded monthly. How
zavuch27 [327]

Answer:

$34,300

Step-by-step explanation:

First, we need to find how much interest is earned in one month : 7,000 * 6.5% = 455

455 is how much you gain monthly, multiply that by 12 to find the annual interest so 455 * 12 = 5,460

You then multiply that number by 5 to find the interest of the span of the 5 years

5,460 * 5 = 27,300

You add the original number to the interest with 27,300 + 7,000 = 34,300 in the account

6 0
2 years ago
Please help and show all work!
Soloha48 [4]
2 is Reflexive property
4 is (I don't remember the specific property of this)
3 0
3 years ago
when adding two rational numbers tell what the sign of the sum will be if one rational number is positive and one is negative
Mekhanik [1.2K]

Answer:

True

When you add two negative numbers the sum is always negative ex.

When you add two numbers with different signs get the difference and get the sign by the larger absolute value ex.

Step-by-step explanation:

8 0
2 years ago
What is the common ratio between successive terms in the sequence
wel
Let a₁ , a₂ , a₃ , a₄ ,... .be a given sequence.
The common ratio of this sequence is the following:
 a₂/a₁ = a₃/a₂ = a₄/a₃ = r

Example: 5, 25, 125, 625, ...The common ration  is:
 25/5 = 125/25 = 625/125 = 5. So r=5 is the common ratio
7 0
3 years ago
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