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gladu [14]
3 years ago
12

Solve 5x^2-2x-8=0 using the quadratic formula

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0
Not sure if this is what you are looking for but welp

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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
How will you graphically represent data in cyber security with math?
qaws [65]

Answer:

Step-by-step explanation:

another math-based concept used in cybersecurity is hexadecimal math. Rather than having only two options, as in binary math, hexadecimal math is based on the idea that you can count up to any one of 16 different options. ... Cryptography is the science of codes and encryption and is based on mathematical theory

3 0
2 years ago
Someone please help!​
umka21 [38]
Im not sure, when in doubt pick C
3 0
2 years ago
HELP <br> what is 5.476 rounded to hundreths and how do you round the numbers <br> GIVING 12 POINTS
Bond [772]
Hundredths are the second number after the decimal, which is the 7. The number, 5.476, rounded is 5.48. You round numbers by looking at the number after what place you want to round by. For example, if I had 5.28 and wanted to round it to the nearest tenths, I would look at the number after 2, which is 8. If the number is 5 or higher and one to the place you need to the round. If it’s 4 or lower, just take away the numbers after the place you need to round, so it would be 5.3. However, if it was 5.23 and I wanted to round it to the tenths, I would just take away the three, making it 5.2
7 0
3 years ago
Using the functions f(x) = 2x + 7, g(x) = x2 - 4, and h(x) = 5x. Find all of the following. Make sure your answer is in simplest
Stolb23 [73]

Answer:

Given

f(x) = 2x+7

g(x) = x^2-4

h(x) = 5x

a. 4h(x)

= 4 * 5x

= 20x

b. f(x) - g(x)

f(x) - g(x) = 2x + 7 - (x^2 - 4)

= 2x+7-x^2+4

=-x^2+2x+7+4

=-x^2+2x+11

c. f(g(x)) = 2(g(x))+7

=2(x^2-4) +7

=2x^2-8+7

=2x^2-1

d. g(x)h(x) = (x^2-4)(5x)

= 5x^3 - 20x

e. g(x) / f(x) = x2 - 4/ 2x + 7

7 0
2 years ago
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