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3 years ago

A population of insects doubles every month. this particular population started out with 20 insects

1 answer:

8 0

Start with 20
After 1 month, 20 * 2 = 20 * 2^1
After 2 months, (20 * 2) * 2 = 20 * 2^2
After 3 months, (20 * 2^2) * 2 = 20 * 2^3
After x months: 20 * 2^x

2x+20, x being a month

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According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

notsponge [240]

Answer-

$\boxed{\boxed{\frac{7}{3}}}$

Solution-

Rational Root Theorem-

$f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0$

All the potential rational roots are,

$=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})$

The given polynomial is,

$f(x) = 9x^8 + 9x^6-12x + 7$

Here,

$a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7$

The potential rational roots are,

$=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}$

$=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}$

From, the given options only $\frac{7}{3}$ satisfies.

6 0

3 years ago

Read 2 more answers

Which of these is a simplified form of the expression –b – 2(2b + 5)?

monitta

Answer:

Step-by-step explanation:

-b -4b - 10

-5b - 10

hence c is the answer

3 0

2 years ago

Read 2 more answers

A solid cylinder has a radius of 4.9 cm and a height of 3.5 cm. Work out the total surface area of the cylinder. Give your answe

Novosadov [1.4K]

Answer:

252 cm²

Step-by-step Explanation:

=>Given:

r = 4.9 cm, and h = 3.3 cm of a solid cylinder, π = 3.14

=> Required:

Total Surface Area (T.S.A) = 2πrh + 2πr²

T.S.A = 2*3.14*4.9*3.3 + 2*3.14*4.9²

= 101.5476 + 150.7828

= 252.3304

= 252 cm² (approximated)

8 0

3 years ago

On a map, the distance between two towns is 2. 5 inches, and 1 inch represents 6 miles. What is the actual distance between the

Aleks04 [339]

Answer:

15 miles

Step-by-step explanation:

1/2 inch = 3 miles

1 inch = 6 miles

2 inches = 12 miles

2.5 inches = 15 miles

8 0

2 years ago

Identify the recursive formula for the sequence given by the explicit formula An) = 20

UNO [17]

Answer: f(n) = {f(1)=-4

{f(n) = f(n-1) / 20 if n > 1

Or Answer B.

Step-by-step explanation:

8 0

3 years ago