All categories

2 years ago

If f(x) = 2x^2 - 5 and g(x) = 3x3, find (f-g)(x).

1 answer:

4 0

$\text{Given that,}~ f(x) = 2x^2 -5 ~ \text{and}~ g(x) = 3x^3\\\\\text{Now,}\\\\ ~~(f-g)(x)\\\\=f(x) - g(x)\\\\=2x^2 -5 - 3x^3\\\\=-3x^3 +2x^2 -5$

You might be interested in

Liz earns a salary of $2,100 per month, plus a commission of 3% of her sales. She wants to earn at least $2,900 this month. Ente

juin [17]

Answer:

x≥26667

Step-by-step explanation:

let x= her sales

so the money she gets from her sales is .03x

if we wants at least 2900 we can write

2100+.03x≥2900

Solve for x

.03x≥800

x≥26666.6667

round up (because you can make a fraction of a sale) to get

x≥26667

8 0

3 years ago

Find all solutions in the interval [0,2π) of the equation.

Sauron [17]

Step-by-step explanation:

2sin(x)cos(x) - sin(x) + 2cos(x)-1= 0

<=> sinx( 2cosx -1) + ( 2cosx -1) =0

<=> (sinx +1) + ( 2cosx-1)=0

<=> sinx=-1 or cosx= 1/2

+) sinx=1 => x= pi/2 + k×2pi

+)cosx=1/2 => x= pi/3+ k×2pi or x=-pi/3 + k×2pi

x€ [0,2pi] => x= pi/2, pi/3.

3 0

2 years ago

At total of 2 feet of snow falls over three days on the first day 1/6 of the snow falls on the second day 7/12 of the snow falls

ioda

Answer:

$Day\ 3 = 1\frac{3}{12}$

Step-by-step explanation:

Given

$Total = 2ft$

$Day\ 1 = \frac{1}{6}$

$Day\ 2 = \frac{7}{12}$

Required

Determine the amount of snow on day 3

This can be calculated using:

$Day\ 1 + Day\ 2 + Day\ 3 = Total$

Substitute values for the known parameters

$\frac{1}{6} + \frac{7}{12} + Day\ 3 = 2$

Collect Like Terms

$Day\ 3 = 2 - \frac{1}{6} - \frac{7}{12}$

Take LCM

$Day\ 3 = \frac{24 - 2 - 7}{12}$

$Day\ 3 = \frac{15}{12}$

Express as mixed number

$Day\ 3 = 1\frac{3}{12}$

5 0

3 years ago

For which value of x is the equation 3x + x = 2x + 24 true?

Lynna [10]

Answer:

D) 12

Step-by-step explanation:

3x+x=2x+24

4x=2x+24

4x-2x=24

2x=24

x=24/2

x=12

4 0

3 years ago

I NEED HELP FOR THIS QUESTION PLSSS

defon

Answer: 132 degrees

5 0

2 years ago

Read 2 more answers