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3 years ago

If f(1) = 0, what are all the roots of the function f(x)=x3+3x2-x-3 ?

Mathematics

1 answer:

finlep [7]3 years ago

4 0

The roots are 1, -3 and -1.
Solving a cubic equation:
http://www.1728.org/cubic2.htm

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A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P t = P 0 ⋅ 2 t d

Crazy boy [7]

Answer:

Population of bacteria in culture after 14 hours is 285541.

Step-by-step explanation:

We are given with $P_{t} =P_{0}(2)^{\frac{d}{t}}$

Here initial population is 41000 , t=5 and d=14

Plug in these values into the formula

$P_{14} =41000(2)^{\frac{14}{5} }$

Simplify

$P_{14}= 41000(2)^{2.8}$

=41000(6.9644)

=285540.5847...

To the nearest whole number is 285541.

3 0

3 years ago

What is the y- intercept of the function described in the table x: 1,2,3,4 y: 8,6,4,2

weeeeeb [17]

Answer:

The y-intercept of the function is: b=10

Step-by-step explanation:

Given the table

x y

1 8

2 6

3 4

4 2

Taking any two points to find the slope

(1, 8)

(2, 6)

The slope between (1, 8) and (2, 6) is:

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:8\right),\:\left(x_2,\:y_2\right)=\left(2,\:6\right)$

$m=\frac{6-8}{2-1}$

$m=-2$

We know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept.

Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).

$y=mx+b$

8 = -2(1) + b

8 = -2 + b

b = 8+2

b = 10

Thus, the y-intercept of the function is: b=10

6 0

3 years ago

Read 2 more answers

A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye

Svetlanka [38]

Answer: The total number of logs in the pile is 6.

Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32 and common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

$a_n=a+(n-10)d.$

Since there are n logs in the pile, so we get

$a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.$

Thus, the total number of logs in the pile is 6.

6 0

3 years ago

If y(x) = 4x, what is x when y(x) = 4 A. 1 B. 4 C. 2 D. 0

Eva8 [605]

Answer:

Step-by-step explanation:

cause if :

y=4

4(x)=4

4(1)=4

4=4

hope this helps

4 0

3 years ago

5у - 4х = -7 2y + 4x = - 14

Nuetrik [128]

1. Y= 5/4x -1.4
2.Y=-2/4x -7
Formula is Y=MX+B
To solve these equations you have to make the Y separate so add or subtract the x value depending on the charge remember what you do to one side you do to the other after you divide everything by the number in the Y value and for the x you put the y value on-top and make it a fraction

3 0

3 years ago