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Lostsunrise [7]
3 years ago
7

F(x) = x²+1 What is f(f(x))?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
7 0

Answer:

f(f(x)) = x⁴ + 2x² + 2

Step-by-step explanation:

if f(x) = x² + 1, then f(f(x)) is equal to:

f(x)² + 1

= (x² + 1)² + 1

= x⁴ + 2x² + 1 + 1

= x⁴ + 2x² + 2

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Find the equation of a line perpendicular to x=6+6y that passes through the point (-8,6)
alexgriva [62]

Answer:

y = -6x - 42

Step-by-step explanation:

First solve for y in x = 6 + 6y.

6y + 6 = x

6y = x - 6

6/6y = x/6 - 6/6

y = 1/6x - 1    the slope is 1/6.  

Perpendicular lines slopes are negative reciprocals of each other.

So the new equation will have the slope of -6 ( the negative reciprocal of 1/6)

Next solve for "b" by  using y = mx + b and the new slope of -6 and the point (-8,6)

y = mx + b

6 = -6(-8) + b

6 = 48 + b

-42 = b

The equation of the line is y = -6x - 42

8 0
2 years ago
When a softball player gets a hit, it can be a single, double, triple, or home run. When Josephine is at bat, the protectity
Fofino [41]

Answer:

The probability of hitting a single or a double is 1/5 or 20% or 20/100 or 0.2

Step-by-step explanation:

In probability, whenever we are to answer an ‘or’ question, we add up the probabilities involved.

The probability of hitting a single is 15%, that is same as 15/100 or just simply 0.15

The probability of hitting a double is 5%, that is simply 5/100 or just simply 0.05

The probability of hitting a single or a double = Probability of hitting a single + Probability of hitting a double = 0.15 + 0.05 = 0.20 or 20/100 or 1/5

6 0
3 years ago
Maria bought seven boxes. A week later half of all her boxes were destroyed in a fire. There are only 22 boxes left. With how ma
Sloan [31]

Answer:

44

22*2

=44

Step-by-step explanation:

7 0
3 years ago
A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best repres
masya89 [10]

J.

x represents the minutes and y shows how many gallons over that time.

5 0
3 years ago
The probability that a household owns a pet is 0. 55. Suppose there are 5 houses on a block. Assuming each household is independ
Alexandra [31]

If the probability that a household owns a pet is 0.55 then the probability that all households will have pets is equal to 0.0503.

Given that the probability that a household owns a pet is 0.55 and there are 5 houses on a block.

We are required to calculate the probability that all the five households will have pets.

Probability is basicallly the chance of happening an event among all the events possible. It cannot be negative.

Binomial probability distribution is basically the probability calculations but in different combinations.

In this we have to calculate the probability that all the houses will have the pets then the probability that all five households will have pets is equal to 5C_{5}(0.55)^{5} (1-0.55)^{0}

=1(0.0503)(0.45)^{0}

=1*0.0503*1

=0.0503

Hence the probability that all the five households will have pets is equal to 0.0503.

Learn more about probability at brainly.com/question/24756209

#SPJ4

6 0
1 year ago
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