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3 years ago

Integral of (3x-2)/(x-1)^2

1 answer:

7 0

(3x−2)/(x−1)^2=A/(x−1) + B/x(x−1)^2
 =[A(x−1)+Bx(x−1)] / 2 3x-2=A(x-1)+Bx
3x-2=x(A+B)-A
A+B=3
-A=-2=>A=2
A+B=3=>2+B=3=>B=1

lets check our partial fraction we have 2/(x−1) + x/(x−1)^2 = [2(x−1)+x] / (x−1)^2
 =(3x−2) / (x−1)^2

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Angelo runs 7 miles per week and increases his distance by 1 mile each week. Marc runs 4 miles per week and increases his distan

Umnica [9.8K]

Answer:

Step-by-step explanation:

You have to set each runner's plan equal to each other because they are equal in the end. You start with 7 miles for Angelo and 4 miles for Marc.

x is a variable that is multiplied by the number of weeks it takes for both runners' distances to be equal. So multiply x by the miles increased every week.

Marc = Angelo

2x + 4 = x + 7

x = 3

In 3 weeks each runner will run 10 miles for the week.

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3 years ago

What is an inequality for x <12

natka813 [3]

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3 years ago

In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consis

BARSIC [14]

Answer:

The requirements for the hypothesis test does satisfied the method for testing the claim that from two population proportions the rate of polio is less for children given the salk vaccine.

Step-by-step explanation:

The percentage of children in the treatment group was:

(201229/401974)*100 = 49.9%

The percentage of children given placebo was:

(200745/401974)*100 = 50.1%

The percentage of children that developed polio in the treatment group:

(33/200745)*100 = 0.0164%

The percentage of children that developed polio in the placebo group:

(115/201229)*100 = 0.0571%

The percentage difference between the two group:

((0.0571-0.0164)/0.0571) = 61.62%

Therefore:

The amount of children used for each group was almost divided into half of the total amount of children. The test revealed although very small percentages of the both group developed polio, 68.62% more children given placebo than the children that was given the salk vaccine. Therefore, the study shows that the rate of polio is less for children given the salk vaccine and the the hypthesis test is satisfied.

6 0

3 years ago

If Jill is selling lemonade for $1.50 per cup on Tuesday. On Wednesday she is selling the lemonade for the same price and sells

Molodets [167]

Answer:

Jill make $18 on Wednesday

Step-by-step explanation:

Given :Jill is selling lemonade for $1.50 per cup on Tuesday.

To Find :On Wednesday she is selling the lemonade for the same price and sells 12 cups. How much money did she make on Wednesday?

Solution:

Jill is selling lemonade for $1.50 per cup on Tuesday.

Cost of 1 cup of lemonade = $1.5

Cost of 12 cups of lemonade = $1.5 \times 12 =$18$

Hence She make $18 on Wednesday

4 0

3 years ago

Acellus

USPshnik [31]

Answer:

Step-by-step explanation:

Corresponding angles have the same matching corner when a transversal line crosses tow straight lines.

Thus, in the diagram given, the angle that has the same matching corner with <2 is the angle that corresponds to <2.

<6 has the same matching corner with <2.

Therefore, <6 corresponds with <2

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3 years ago