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Katyanochek1 [597]
3 years ago
5

Given the function f(x)=x2+2x+1, find: f(2b)

Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

I will do the first one only. The second question is done the same way.

Replace every x you see in the function with 2b and do the math.

f(x) = x^2 + 2x + 1

Let x = 2b

f(2b) = (2b)^2 + 2(2b) + 1

f(2b) = 4b^2 + 4b + 1

Did you follow? That's all there is to it.





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The distribution of the number of hours people spend at work per day is unimodal and symmetric with a mean of 8 hours and a stan
Wewaii [24]

Answer: 95% of all people work between 7 hours and 9 hours per day and It is true.

Step-by-step explanation:

Since we have given that

Mean = 8 hours

Standard deviation = 0.5 hours

According to Empirical Rule,

at 95% confidence, it lies within 2 standard deviations  from the mean

so, lower value is given by

mean-2\times sd\\\\=8-2\times 0.5\\\\\=8-1\\\\=7\ hours

upper value is given by

mean+2\times s.d\\\\=8+2\times 0.5\\\\=8+1\\\\=9\ hours

Hence, 95% of all people work between 7 hours and 9 hours per day.

Therefore , it is true.

4 0
3 years ago
Help please lol :)))))))
nasty-shy [4]
How come it’s a right triangle, I think you do a2+b2=C2. Therefore, you do 9.4 times 9.4 and then 15.1 times 15.1. So it will be 9.4 + b2=15.1. 88.36+ b2=228.01. Then you subtract that and it will be 139.65. Then you do square roots because you are trying to get rid of the second power. And the final answer is 11.81736011. How they told you to round it to the nearest tenth, I will be 11.8. I think this is the answer.
6 0
3 years ago
Complete the sequence of numbers in the set. Explain the pattern.The completed sequence of numbers is​ 8.5, 7.15,​ 5.8,
Mademuasel [1]

Answer:

8.5,7.15,5.8,4.45,3.1,...

Step-by-step explanation:

The first step to solve this question is to analyze the given sequence.

We can notice that the difference between 8.5 and 7.15 is

8.5-7.15=1.35

And again the difference between the second and the third term is :

7.15-5.8=1.35

One way to describe all the numbers in the sequence is by using a formula.

We can write :

Given the sequence a_{0},a_{1},a_{2},a_{3},...

a_{n}=8.5-(1.35)n with n ∈ IN_{0}

For example :

a_{2}=8.5-(1.35).2=5.8   which verifies our original sequence.

We can obtain any term we want of the sequence.

Some of the terms that complete the sequence are :

8.5,7.15,5.8,4.45,3.1,...

8 0
4 years ago
15. I had 180 mL of water in a measuring cylinder. I added a stone. The reading is now 195 mL. What is the volume of the stone?​
alexira [117]

Answer: 15 mL

Step-by-step explanation:

Before the stone the reading was 180 mL

When the stone was added the reading rose to 195 mL

So, we subtract them both, this will give us the volume of the stone

195 mL - 180 mL = 15 mL

7 0
3 years ago
Samochód osobowy przebył drogę 120 km w czasie 75 minut. z jaką prędkością się poruszał (km/h) daje naj proszę
lesya692 [45]

Answer:

The speed of the car is 96 km/h

Step-by-step explanation:

Your question, trasnlated into English, is teh following

"The passenger car traveled 120 km in 75 minutes. at what speed he moved (km / h) "

We use the definition of speed

Speed  = Distance / time

Distance = 120 km

time = 75 minutes = 1.25 h

Speed   = 120 km / 1.25 h

Speed    = 96 km/h

The speed of the car is 96 km/h

4 0
3 years ago
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