MATHEMATICS HIGH SCHOOL

Using the U- Substitution u=sqrt(2x), integral form 2-8 dx/ sqrt(2x) + 1 is equivalent to ...I'm not quite sure how to solve using u substitution.

Help please!

Answers

Answer 1
Answer: We will use u-substitute:u= √(2x) , (du)/(dx)= (1)/( √(2x) )= (1)/(u)Then for substitution:dx=u du. and integral becomes:\int { (u)/(u+1) } \, du = \int { (u+1-1)/(u+1) } \, du= \int{1} \, du- \int { (1)/(u-1) } \, dx=u-ln(u+1)=√(2x)-ln( √(2x)+1). Now we will change the values of limits: √(16)-ln( √(16)+1)-( √(4)-ln( √(4)+1))=4-ln(5)-2+ln(3)=2+ln(0,6)=2-0.51=1.49

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Can someone help me please

Answers

Wow !  If I understand what's go0ing on here, then
we have to be careful, and THINK .

I was going to ask you "What does  Ф  mean ?", and then I realized,
Ф is a new operation that the teacher invented.

The first line on the board is the definition of Ф .

Ф means "Add the two numbers and subtract 4."

Now you have to use this new invention to find the value
of the second line:

Take care of the stuff inside the parentheses first: ( 4 Ф 2 )
Add the two numbers and subtract 4
4 + 2 - 4 = 2
That's the part inside the parentheses. It's 2 .

NOW, we have to do the new operation with the 2 inside,
and the 3 that's outside the parentheses:

3 Ф 2
Add the two numbers and subtract 4
3 + 2 - 4 = 1

And that's the final value of 3 Ф (4 Ф 2) .  It's 1 .

Pretty sneaky.

The correct answer I got was 1

A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, and the total money collected was $275. Which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers? A.) 75 children and 25 adults
Equation 1: a + c = 100
Equation 2: 3a − 2c = 275

B.) 75 children and 25 adults
Equation 1: a + c = 100
Equation 2: 3a + 2c = 275

C.) 25 children and 75 adults
Equation 1: a + c = 100
Equation 2: 3a − 2c = 275

D.) 25 children and 75 adults
Equation 1: a + c = 100
Equation 2: 3a + 2c = 275

Answers

Answer:

Option D is correct.

Step-by-step explanation:

A team t-shirt costs $3 per adult and $2 per child.

Let the number of children be = c

Let the number of adults be = a

A team t-shirt costs $3 per adult that is 3a and $2 per child that is 2c, also given is that the total money collected is $275, so equation becomes:

3a+2c=275

On a certain day, the total number of adults (a) and children (c) who bought shirts was 100, equation becomes: a+c=100

Now to know the number of children and adult, we can check by plugging in the values from options provided.

25 children and 75 adults  = 25(2)+75(3)=50+225 =275

Rest options do not fulfill the requirements, so Option D is correct.

The answer is: 

25 children and 75 adults 
Equation 1:a + c=100
Equation 2: 3a + 2c=275

Have a nice day!

If f(x) = x(2x – 1) and g(x) = 2x – 1, find f(x)/g(x).

Answers

Answer:

(f(x))/(g(x)) =x

Step-by-step explanation:

If f(x) = x(2x – 1) and g(x) = 2x – 1, find f(x)/g(x).

To find f(x)/ g(x) , we divide both the functions

Replace f(x) and g(x)

(f(x))/(g(x)) = (x(2x-1))/((2x-1))

WE have 2x-1 at the top and bottom

so we cancel it out

(f(x))/(g(x)) =x
(x(2x-1))(2x-1)=x
f(x)/g(x)=x

Can someone answer this question?

Answers

The inequality is: 5>x≥0

Step-by-step explanation:

We have to write the inequality one by one

The inequality symbols are used to write inequalities.

So,

5 is greater than x will be written as:

5>x

And

0 is less than or equals to x:

0≤x or x≥0

We have to combine the both inequalities so that the variable is not repeated. The inequality symbols have to be written carefully while writing the compound inequalities.

5>x≥0

Keywords: Inequality, Relationships

Learn more about inequality at:

#LearnwithBrainly

In general, the median of a data set is less resistant to outliers than the mean. A. True B. False

Answers

A. true, the median of a data set is less resistant to outliers than the mean

Answer:

FALSE  is the correct answer

Step-by-step explanation:

Which expression is equivalent to 56 + 21?07(49 + 14)
8(7 + 21)
8(48 + 13)
07(8 + 3)

Answers

Answer:

07(8 + 3) is the right answer

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