1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s2008m [1.1K]
3 years ago
11

Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0
F(x) = 4x^2 + 12
g(x) = x - 1
(f o g)(x) = f(g(x)) = 4(x - 1)^2 + 12 = 4(x^2 - 2x + 1) + 12 = 4x^2 - 8x + 4 + 12 = 4x^2 - 8x + 16

(f o g)(3) = 4(3)^2 - 8(3) + 16 = 4(9) - 24 + 16 = 36 - 8 = 28
You might be interested in
How do u stop whaching adds if ur new
Alexxx [7]

Answer:

to be honest I dont know

Step-by-step explanation:

I dont know  how.

6 0
3 years ago
Read 2 more answers
Probabilities with possible states of nature: s1, s2, and s3. Suppose that you are given a decision situation with three possibl
amm1812

Answer:

1. P(s_1|I)=\frac{1}{11}

2. P(s_2|I)=\frac{8}{11}

3. P(s_3|I)=\frac{2}{11}

Step-by-step explanation:

Given information:

P(s_1)=0.1, P(s_2)=0.6, P(s_3)=0.3

P(I|s_1)=0.15,P(I|s_2)=0.2,P(I|s_3)=0.1

(1)

We need to find the value of P(s₁|I).

P(s_1|I)=\frac{P(I|s_1)P(s_1)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}

P(s_1|I)=\frac{(0.15)(0.1)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}

P(s_1|I)=\frac{0.015}{0.015+0.12+0.03}

P(s_1|I)=\frac{0.015}{0.165}

P(s_1|I)=\frac{1}{11}

Therefore the value of P(s₁|I) is \frac{1}{11}.

(2)

We need to find the value of P(s₂|I).

P(s_2|I)=\frac{P(I|s_2)P(s_2)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}

P(s_2|I)=\frac{(0.2)(0.6)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}

P(s_2|I)=\frac{0.12}{0.015+0.12+0.03}

P(s_2|I)=\frac{0.12}{0.165}

P(s_2|I)=\frac{8}{11}

Therefore the value of P(s₂|I) is \frac{8}{11}.

(3)

We need to find the value of P(s₃|I).

P(s_3|I)=\frac{P(I|s_3)P(s_3)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}

P(s_3|I)=\frac{(0.1)(0.3)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}

P(s_3|I)=\frac{0.03}{0.015+0.12+0.03}

P(s_3|I)=\frac{0.03}{0.165}

P(s_3|I)=\frac{2}{11}

Therefore the value of P(s₃|I) is \frac{2}{11}.

4 0
3 years ago
Sixteen scholars have volunteered to stay after school to help set up for the school musical. The musical director plans to orde
lapo4ka [179]
The director would have to pay $40.47.

If each scholar eats one slice of pizza, then there would be two pizza pies because 8 slices plus another 8 slices in 16

8+8=16

If all of them eat another .5 slice, adding up the halves would equal 8

.5 x 16 = 8

In total, the director would have to buy three pizzas which equals up to our total of $40.47
3 0
3 years ago
Suppose the scientist performs an experiment in which she cools the three gases. Will the changes in temperature be positive or
Yuliya22 [10]
Gjdudnshksnssinjm884857290283747939
5 0
3 years ago
10
Jlenok [28]

Answer:

False

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • The sum of 2.5x10 and 2.05x10 is
    11·2 answers
  • Yvonne put $4,00 in a savings account. At the end of three years, the account had earned $960 in simple interest.
    15·1 answer
  • Larissa invested $19,000 in an eleven-year CD giving 7.5% interest, but needed to withdraw $2,500 after four years. If the CD’s
    5·2 answers
  • A(-1,2)B(-7,4) find the midpoint of AB
    9·2 answers
  • Tom ate 1/6of the left overs.How much pie did he eat.
    7·2 answers
  • Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some pe
    15·1 answer
  • 110 is 20% of what number
    7·2 answers
  • Will give brainliest need anwser now: Karen and Kevin collect coins. Karen has x coins. Kevin has 4 coins fewer than four times
    11·1 answer
  • Which table contains only values that satisfy the equation y = 0.52 + 14?
    12·2 answers
  • An automobile manufacturer has developed a new compact automobile. A random sample of 64 of the new automobiles showed that the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!