The answer is b . You multiply the numbers and add the variables
Three consecutive integers...
Let call the first integer as ''x''.
They are consecutive integers. So, we have: x, x+1, x+2.
The sum is (x+(x+1)+(x+2)).
The sum is three more than twice the middle integer (x+1). So, we get the following equation:
3*(x+(x+1)+(x+2)) = 2*(x+1)
Let's solve the equation:
1. Multiplying...
3x + 3x + 3 + 3x + 6 = 2x + 2
2. Adding the terms...
9x + 9 = 2x + 2
3. Let's subtract 2x from both sides...
9x - 2x + 9 = 2x - 2x+ 2
7x + 9 = 2
Now, let's subtract 9...
7x + 9 - 9 = 2 - 9
7x = -7
Now, divide both sides by 7...
7x/7 = -7/7
So, we have:
x = - 1
First integer: x = -1
Second integer: x + 1 => -1 + 1 = 0
Third integer: x + 2 => -1 + 2 = 1
Answer:
1. Experiment
2. Observation study
3. Experiment
4. Observation study
5. Experiment
Step-by-step explanation:
Observational study Vs. Experiment
- An observational study is a study where researchers simply collect data based on what is observed and give results based on the data collected.
- There is no control over the variables in an observational study.
- An experiment is a method of applying treatments to a group and recording the effects.
- The variables in a an experiment can be controlled.
- An observational study is where nothing changes but in an experimental study we have control over groups and may change.
1. This is an experiment as people were divided into groups and treatment were given.
2. This is an observational study as no treatment was done on the people just political preference was measured on the basis of collected data.
3. This is an experiment as farmers were divided into groups and effects of a new pesticide was tested.
4. This is an observational study as the data collected told about effect of exercise on lowering the risk of cancer and no experiments were carried out.
5. This is an experiment as people were divided into groups and cholesterol was measured with and without exercise.
Step-by-step explanation:
The distance between two points, and is given by:
The endpoints are: Q(-5, -1), R(3, 7)
Point S is (4,-2).
The distance of S to Q is:
The distance of S to R is: