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defon
3 years ago
9

If f(x) = 2x - 5 , Find f(3). Substitute 3 for x then type your final answer.

Mathematics
2 answers:
Savatey [412]3 years ago
5 0

Answer:

f(3)=1

Step-by-step explanation:

take f(x)=2(x)-5

put a three wherever you see an x in parentheses

f(3)=2(3) - 5

simplify

f(3)=6-5

simplify

f(3)=1

answer:f(3)=1

mr_godi [17]3 years ago
5 0

Answer:

f(3) = 1

Step-by-step explanation:

You substitute 3 for x.

f(3) = 2(3) - 5

Multiply the 2 terms.

f(3) = 6 - 5

Subtract.

f(3) = 1

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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

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

41 + 76 + x + 70 = 180

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7 0
2 years ago
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maxonik [38]

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