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trasher [3.6K]
3 years ago
13

Help please!

Mathematics
2 answers:
yawa3891 [41]3 years ago
6 0

Step-by-step explanation:

you're just going to switch x and y and then solve for y

m_a_m_a [10]3 years ago
4 0

Answer:

Hello,

Step-by-step explanation:

The problem is that the inverse function is not a function but

an union of 2 functions.

y=(x+6)^2+1\ is\ the\ orignal\ function\ f(x).\\\\Inverting\ x\ and\ y\ gives: \ x=(y+6)^2+1\\\\(y+6)^2=x-1 \ nota\ bene\ x-1\geq 0 \\(y+6)^2-(x-1)=0\\\\((y+6)-\sqrt{x-1} ) * ((y+6)+\sqrt{x-1}) =0\\\\y=-6+\sqrt{x-1}-6\ or\ y=-6-\sqrt{x-1}\\

For the fun

,f_1(x)= (x+6)^2+1=0\ if\ x

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Samuel was preparing for the triathlon. He did 3 activities every morning: Ran for 30 minutes, covering 4.5 miles. Swam for 20 m
Setler [38]

Speed can be defined as the <em><u>distance covered per time. </u></em>

The average speed formula is given as: Distance/Time

The average speed of Samuel's morning training is 7 2/3 miles/hour

We are to calculate the time in hours. Remember conversion rate :

60 minutes = 1 hour

He did 3 activities every morning

  • a) Ran for 30 minutes, covering 4.5 miles.

60 minutes = 1 hour

30 minutes = ?

Cross Multiply = 30 minutes x 1 hour / 60 minutes

= 0.5 hour

Hence: Speed = 4.5 miles/0.5 hour

=  9 miles/hour

  • b) Swam for 20 minutes, covering 2/3 miles

60 minutes = 1 hour

20 minutes = ?

Cross Multiply = 20 minutes x 1 hour / 60 minutes

= 1/3 hour

Hence: Speed = 2/3 miles/ 1/3 hour

=  2/3 x 3/1 (miles/hour)

= 2 miles/hour

  • c) Biked for 45 min, covering 9 miles.

60 minutes = 1 hour

45 minutes = ?

Cross Multiply = 45 minutes x 1 hour / 60 minutes

= 3/4 hour

Hence: Speed = 9 miles/ 3/4 hour

=  9 x 4/3 (miles/hour)

= 12 miles/hour

  • Samuel's average speed during his morning training is calculated as:

(9 + 2 + 12) miles/hour / 3

= 23/3

= 7 2/3 miles/hour

To learn more, visit the link below:

brainly.com/question/14796641

7 0
3 years ago
Evaluate 2 + 6(9-3^2)-2
8_murik_8 [283]

Answer:

0

Step-by-step explanation:

2+ 6(9-3^2)-2

3^2 = 3 x 3 = 9

2+ 6(9 - 9)-2

9-9 = 0

2 + 6(0) -2

6(0) = 0

2+ (-2) = 0

0

6 0
4 years ago
Could somebody please help me?
Ray Of Light [21]

When multiplying exponential terms with the same base, the exponents can be added:

3+-5

3-5

-2

5^-2

When raising a value to a negative exponent, it can be rewritten as a fraction.  Therefore, the answer is:

1/5^2

Hope this helps!!

6 0
3 years ago
Read 2 more answers
Solve for h S+2πr22πrh
ankoles [38]
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3 0
4 years ago
When the Bucks play Chiefs at football, the probability that the Chiefs, on present form, will win is 0.56. In a competition, th
Tom [10]

Answer:

The probability that Swallows will win the trophy is 0.8064

The probability that Rucks will win the trophy is 0.1936

Step-by-step explanation:

For each game, there are only two possible outcomes. Either the Swallows win, or they do not. The probability of them winning a game is independent of any other game, which means that the binomial probability distribution is used.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability the Swallows wins is 0.56

This means that p = 0.56

2 games:

This means that n = 2

The probability that Swallows will win the trophy is

Probability they win at least one game, so:

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{2,0}.(0.56)^{0}.(0.44)^{2} = 0.1936

Then

P(X \geq 1) = 1 - 0.1936 = 0.8064

0.8064 = 80.64% probability the Swallows win the trophy and 0.1936 probability that the Rucks win the trophy.

5 0
3 years ago
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