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Viktor [21]
3 years ago
6

COMMON FACTOR QUESTION❌

Mathematics
2 answers:
Degger [83]3 years ago
8 0
The answer is D 40 and 48 bc
It goes 8,16,24,32,40,48 and so on. Therefor it would be those two bc the other number are not in the number pattern
Agata [3.3K]3 years ago
5 0
The correct answer is D.
40/8=5 and 48/8=6
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Express as a single fraction a/b+b/b - b/a-a/a​
Harrizon [31]

Answer:

a exponent 2-b exponent 2

ab

5 0
3 years ago
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
The number of professors in a college is p and the number of students is s, there are 16 times as many students as professors wr
Reika [66]
Algebraic expression is:

\boxed{p=16x}
8 0
4 years ago
Paul has $78 in the bank and saves $30 each week. What is the initial value? Be sure to use negative signs if needed.
marin [14]

Answer:

The initial value is $78

Step-by-step explanation:

Given

Base\ Amount = \$78

Additional = \$30 (weekly)

Required

Determine the initial value

The initial value is the amount he has in its bank account before making his weekly savings.

From the question, we have that his initial balance is $78.

Hence, the initial value is $78

However, his weekly balance can be expressed as:

Balance = Base\ Amount + Additional * number\ of weeks

Represent number of weeks with x; So, we have:

Balance = 78 + 30 * x

Balance = 78 + 30 x

6 0
3 years ago
Please let me know ASAP
aksik [14]

Answer:

∠ BAC = 80°

Step-by-step explanation:

The sum of the interior angles of quadrilateral ACDB = 360°

DB and DC are tangents to the circle, thus

∠ DBA = ∠ ACD = 90° ( angle between tangent/ circle at point of contact )

Thus

∠ BAC + 90° + 90° + 100° = 360°

∠ BAC + 280° = 360° ( subtract 280° from both sides )

∠ BAC = 80°

4 0
3 years ago
Read 2 more answers
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