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bija089 [108]
3 years ago
9

If f(x) = x-5 and g(x) = 3x2-1, what is (fºg)(x)?

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

Answer:

<h2>(f\circ \: g)(x) =  {3x}^{2}  - 6</h2>

Step-by-step explanation:

f(x) = x - 5

g(x) = 3x² - 1

To find (fºg)(x) substitute g(x) into f(x) that's for every x in f (x) replace it with g (x)

That's

<h3>(f\circ \: g)(x) = 3 {x}^{2}  -1 - 5</h3>

We have the final answer as

<h3>(f\circ \: g)(x) =  {3x}^{2}  - 6</h3>

Hope this helps you

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Nathena needs to buy a fence to put around her rectangular yard for her dog. Nathena forgot the width of his yard, but knows the
BabaBlast [244]

Answer:

The real answer is 6

Step-by-step explanation:

Fairly simple. You know the length and the area, but you don't know the width. So your equation looks like this: 30 x ? = 180. But to figure out the width, you change the position of the numbers in the equation like this:

180 ÷ 30 = ?. Then you solve. 180 ÷ 30 = 6. If you want to double check your answer, you can plug in your answer to your original equation, 30 x 6 = 180.

Hope this helps!

7 0
3 years ago
Read 2 more answers
Find the area of the shape shown below.
rusak2 [61]

Answer:

12.5

Step-by-step explanation:

So this is basically a rectangle. You make the 2 triangles a square.

2.5x2.5=6.25

6.25x2=12.5

3 0
3 years ago
1-Andrea tenía una deuda de $25 850 en el banco y abonó $18700. ¿Cuál es su deuda<br> actualmente?
lora16 [44]

Answer:

Current debt of Andrea = $7,150

Step-by-step explanation:

Given:

Loan taken by Andrea from bank = $25,850

Amount paid by Andrea to bank = $18,700

Find:

Current debt of Andrea

Computation:

⇒ Current debt of Andrea = Loan taken by Andrea from bank - Amount paid by Andrea to bank

⇒ Current debt of Andrea = 25,850 - 18,700

Current debt of Andrea = $7,150

Note: O information provide about interest.

6 0
3 years ago
The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
Paraphin [41]

Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
3 years ago
Frequently on tour, a band called the Chieftains
JulijaS [17]

Correct option is C. Frequently on tour, a band called the Chieftains

<u>revered internationally</u><u> as spirited performers of </u><u>traditional Irish music</u><u>.</u>

<u />

<h3>What are Chieftains?</h3>

The Chieftains are a traditional Irish folk band formed in Dublin in 1962, by Paddy Moloney, Sean Potts and Michael Tubridy. Their sound, which is almost entirely instrumental and largely built around uilleann pipes, has become synonymous with traditional Irish music and they are regarded as having helped popularise Irish music around the world.

They have won six Grammys during their career and they were given a Lifetime Achievement Award at the prestigious BBC Radio 2 Folk Awards in 2002. Some music experts have credited The Chieftains with bringing traditional Irish music to a worldwide audience, so much so that the Irish government awarded them the honorary title of 'Ireland's Musical Ambassadors' in 1989.

To learn more about Chieftains from given link

brainly.com/question/16235817

#SPJ4

8 0
1 year ago
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