All categories

3 years ago

If f(x)=2x^2+2 and g(×)=x^2-1 find (f-g)(x)

1 answer:

8 0

$f(x)=2x^2+2\qquad\qquad g(x)=x^2-1\\\\\\
\big(f-g\big)(x)=f(x)-g(x)=(2x^2+2)-(x^2-1)=2x^2+2-x^2+1=\\\\=\boxed{x^2+3}$

Answer B)

You might be interested in

The cost in dollars to print n books is 500 + 10n. How many books are printed for a cost of $15 000?

12345 [234]

N= the # of books
So you're trying to find n and you have the cost for the printed books, which is 15,000, so you would set up your equation like this:
15,000=500+10n
Subtract 500 from each side
14850=10n
Divide by 10
n=1,485 books are printed

8 0

3 years ago

How many ways are there to choose eight coins from a piggy bank containing 100 identical pennies and 80 identical nickels?

Ahat [919]

I think it's two but I'm not sure don't count on it.

3 0

3 years ago

A painter can paint a building in 15 days and a coworker can do the same job in 10 days. If the first painter starts and 3 days

Sonja [21]

Answer: 7.8 days

<u>Step-by-step explanation:</u>

Painter can get the job done in 15 days so gets $\dfrac{1}{15}$ of the job done in 1 day.

Coworker can get the job done in 10 days so gets $\dfrac{1}{10}$ of the job done in 1 day.

Together, they get $\dfrac{1}{15}+\dfrac{1}{10}$ of the job done in 1 day.

Painter worked for 3 days so completed $\dfrac{1}{15}(3)=\dfrac{1}{5}$ of the job.

That leaves a remaining of $1-\dfrac{1}{5}=\dfrac{4}{5}$ of the job to be completed.

Let x represent the number of days it will take them to work together.

Painter + Coworker = Together

$\dfrac{1}{15}(x)\quad +\quad \dfrac{1}{10}(x)\quad =\quad \dfrac{4}{5}$

Multiply by 30 to eliminate the denominator:

$\dfrac{1}{15}(x)(30) +\ \dfrac{1}{10}(x)(30) = \dfrac{4}{5}(30)$

Simplify and solve for x:

2x + 3x = 24

5x = 24

$x=\dfrac{24}{5}$

x = 4.8

Remember that Painter worked 3 days alone in addition to the 4.8 days they worked together.

So the total time to paint the building is 3 + 4.8 = 7.8

7 0

3 years ago

Which of the following is equal to [(x^2 y^3)^-2/x^6 y^3 z)^2]^-3

maksim [4K]

Answer:

it's A,B and D , Edge 2021

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Unit l2 trigonometry homework 6 law of cosines <br>Does anyone know the answer please help!

guapka [62]

Step-by-step explanation:

The law of cosine states that:

$C^2=B^2+A^2-2AB\cos(\theta)$ , where C is the side opposite of angle theta, and A and B are the adjacent sides of the angle.

In this case, A is equal to 21, and B is equal to 30 (or it could also be the other way around). That means that:

$C^2=21^2+30^2-2\cdot21\cdot30\cos(73)\\C=\sqrt{21^2+30^2-2\cdot21\cdot30\cos(73)}=\boxed{31.186722}$ (to nearest 6 digits)

7 0

3 years ago

Read 2 more answers