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3 years ago

If f(x)=3 x -1 and g(x)=0.03x^3-x+1 an approximate solution for the equation f(x)=g(x) is

Mathematics

1 answer:

lubasha [3.4K]3 years ago

3 0

Answer:

x ≈ {-11.789, +0.501, 11.288}

Step-by-step explanation:

The cubic g(x) - f(x) = 0 has three real solutions. It can be rewritten as ...

$g(x)-f(x)=0\\\\0.03x^3-x+1-(3x-1)=0\\\\0.03x^3-4x+2=0$

Since the solutions are irrational, they are best found using a spreadsheet or graphing calculator. My favorite graphing calculator shows the approximate solutions below.

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Comment on the problem statement

Your expression for f(x) is ambiguous in that many Brainly questions have the exponentiation indicator replaced by a blank: 3 x -1 often means 3^x -1 and sometimes means 3^(x-1). We have taken the expression at face value and have assumed it is a linear expression. If otherwise, the problem is basically worked the same way: write a function h(x) = g(x) - f(x) and look for solutions to h(x) = 0. Graphing can be useful.

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Suppose the scores on a trivia quiz are normally distributed with a mean of 80 and a standard deviation of 5.

Kitty [74]

I think it would be scores below 75

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3 years ago

If the Ramirez family deposits $5000 in a savings account at 7.5% interest compounded continuously, how much will be in the acco

GenaCL600 [577]

Answer: The amount is $14794.39 and the interest is $9794.39

Step-by-step explanation: If you deposit $5000 into an account paying 7.5% annual interest compounded yearly , how much money will be in the account after 15 years?

To find amount we use formula:

A-P(1+r/n) n*t

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

P=$5000, r=7.5, n=1 and, t=15 years

After plugging the given information we have

A= $5000 (1+0.075/1)^1.15

A= 5000 *1.075^15

A=14794.39

To find interest we use formula A=P+I'

since A= 14794.39 and P=5000

we have: A=P+I 14794.39=5000+I

I= 14794.39 -5000

I=9794.39

8 0

3 years ago

Read 2 more answers

What is the GCF 16 24 40

boyakko [2]

The factors of 16 are 1, 2, 4, 8, and 16.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. 
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. 
So the greatest common factor of 16, 24, and 40 is 8.

Hope this helps:)

4 0

3 years ago

PLZ HELP !! Which of the points (s, t) is not one of the vertices of the shaded region of the

stira [4]

Answer:

A(0,10)

Step-by-step explanation:

Given the 4 inequalities:

s ≥ 12 - 0.5t (1)

s ≥ 10 -t (2)

s ≤ 20-t (3)

s ≥ 0

t ≥ 0

Let analyse all 4 possible answer:

A(0, 10)

Let substitute this point into (1) we have: 10 ≥ 12 -0.5*0 Wrong

We do not choose A

B (0, 20)

Let substitute this point into (1) we have: 20 ≥ 12 -0.5*0 True

Let substitute this point into (2) we have: 20 ≥ 10 - 0 True

Let substitute this point into (3) we have: 20 ≤ 20 - 0 True

We choose B as the vertex

C. (4, 16)

Let substitute this point into (1) we have: 16 ≥ 12 -0.5*4 True

Let substitute this point into (2) we have: 16 ≥ 10 - 4 True

Let substitute this point into (3) we have: 16 ≤ 20 - 4 True

We choose C as the vertex

D. (16,4)

Let substitute this point into (1) we have: 4 ≥ 12 -0.5*16 True

Let substitute this point into (2) we have: 4 ≥ 10 - 16 True

Let substitute this point into (3) we have: 4 ≤ 20 - 16 True

We choose B as the vertex

Hence, the point A(0,10) is not one of the vertices of the shaded region of the set of inequalities.

3 0

3 years ago

I need help with this question

Helga [31]

i think its f it just seems to be the most reasonable awnser a and i dont know this stuff :P

Step-by-step explanation:

6 0

3 years ago