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mixas84 [53]
2 years ago
7

Find (fog)(x).

Mathematics
1 answer:
azamat2 years ago
3 0

Answer:

\large\boxed{(f\circ g)(x)=-15x+14}

Step-by-step explanation:

f(x)=-5x+9\\\\g(x)=3x-1\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)-\text{put}\ x=g(x)\ \text{in}\ f(x):\\\\(f\circ g)(x)=-5(g(x))+9=-5(3x-1)+9\qquad\text{use the distributive property}\\\\=(-5)(3x)+(-5)(-1)+9=-15x+5+9=-15x+14

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If you subtract 14 from my number and multiply the difference by -4, the result is -40 what is peters number?
alina1380 [7]

Answer:

-104?

Step-by-step explanation:

6 0
3 years ago
One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
Natalka [10]

Answer:

-10

-5

5

Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

x = - 5

x = 5

The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

f(10) = 1000 + 1000 - 250 - 250

f(10) = 2000 - 500

f(10) = 1500 which is  not 0.

==================

f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

f(1) = 1 + 10 - 25 - 250

f(1) = -264 which again is not zero

3 0
3 years ago
Read 2 more answers
Your task, to replicate this musical frequency is to write a method harmonicSeries that accepts an integer parameter n and retur
LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

JUst try your best

5 0
3 years ago
Show that 6^3-1 is divisible by 5 using our identities
Doss [256]

Answer:

Step-by-step explanation:

a³-b³=(a-b)(a²+ab+b²)

6³-1=6³-1³=(6-1)(6²+6*1+1²)=5×43

so 6³-1 is divisible by 5.

8 0
2 years ago
Read 2 more answers
Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Thre
grigory [225]

Answer:

About $1,178,974

Step-by-step explanation:

Alright, the sequence we have right now is:

500,000       550,000      605,000

We want to find the common ratio, so let's divide 550,000 by 500,000 and see if we get the same value as 605,000 divided by 550,000:

550,000/500,000 = 1.1

605,000/550,000 = 1.1

Now, we know that r = 1.1. We also know the first term is: a_1 = 500,000.

We use the explicit rule of a geometric sequence:

a_n=a_1*r^{n-1}

Here, we want to find a_{10} , which means that n = 10. We know r and a_1, so we just plug in these values:

a_{10}=500,000*(1.1)^{10-1}=500,000*(1.1)^{9} ≈ 1,178,973.85 ≈ 1,178,974

Thus, the answer is about $1,178,974.

Hope this helps!

6 0
3 years ago
Read 2 more answers
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