When trying to gather information in order to identify a problem, it is important to _______.a. Evaluate the best course of action
b. Find reliable sources
c. Embrace your assumptions
d. Generate multiple solutions

Answers

Answer 1
Answer:

When trying to gather information in order to identify a problem, it is important to find reliable sources.

What is a reliable source?

A reliable source is known to be that source of information that gives a thorough, well-think through theory, argument, etc. and it is one that is found to be true.

So therefore, When trying to gather information in order to identify a problem, it is important to find reliable sources.

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Answer 2
Answer:

Answer:

B. Find reliable resources

Step-by-step explanation:


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You can jog around your block twice and the park once in 10 minutes. you can jog around your block twice and the park 3 times in 22 minutes. a. write a system of linear equations that represents this situation. let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park. system of equations:


b. how long does it take you to jog around the park? it takes you minutes to jog around the park.

Answers

Answer:

Part a) The system of equations is

2x+y=10

2x+3y=22

Part b) The number of minutes it takes you to jog around the park is 6\ min

Step-by-step explanation:

Part a)  Write a system of linear equations

Let

x-----> the number of minutes it takes you to jog around your block

y---> the number of minutes it takes you to jog around the park

we know that

2x+y=10 ----> equation A

2x+3y=22 ----> equation B

Part b) How long does it take you to jog around the park?

Multiply equation A by -1 both sides

-1(*2x+y)=-10 ------> -2x-y=-10 ----> equation C

Adds equation B and equation C

2x+3y=22\n-2x-y=-10\n-------\n 3y-y=22-10\n2y=12\ny=6\ minutes

Find the value of x

2x+(6)=10

2x=10-6

x=4/2=2\ minutes

Final answer:

Write the information as a system of linear equations: 2x + y = 10 and 2x + 3y = 22. Solving these equations, we find that it takes 6 minutes to jog around the park.

Explanation:

Given the information provided in the question, we first need to represent the given information through a system of linear equations. Following the instructions in the question, let  x represent the time in minutes to jog around the block, and y represent the time in minutes to jog around the park.

From the given problem, we know:

  • 2x + y = 10
  • 2x + 3y = 22

To find how long it takes you to jog around the park (the value of y), we can use the method of substitution or elimination. In this case, let's use the method of substitution: we can start by solving the first equation for 2x, giving us 2x = 10 - y.

Substituting that into the second equation gives us 10 - y + 3y = 22, simplifying which leads to 2y = 12, and further simplification yields y = 6. Therefore, it takes you 6 minutes to jog around the park.

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Calculate ten minus three point nine

Answers

10 - 3.9=6.1

this is the preferred answer. 
10 - 3.9

10.0
  3.9
-----------------
6.1
------------------

In the diagram below, the top of each stair is parallel to the floor. What is the value of y?(Picture below.)

Answers

25°
as the stair is // to floor
we can use alternate angle

Which of the following statements is true

Answers

The correct statement regarding the operations with polynomials is given as follows:

C. (10x³ + 2x² - 11) + 9x² + 2x - 2 = 10x³ + 11x² + 2x - 13.

What are like terms?

Like terms are terms that share these two features:

  • Same letters. (algebraic variables).
  • Same exponents.

If two terms are like terms, then they can be either added or subtracted, that is, we can use them to simplify a polynomial.

Hence the polynomial that is correctly simplified in this problem is given as follows:

(10x³ + 2x² - 11) + 9x² + 2x - 2 = 10x³ + 2x² + 9x² + 2x - 11 - 3 = 10x³ + 11x² + 2x - 13.

Meaning that option C is the correct option in the context of this problem.

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The graphs of ​ f(x)=−32x+2 ​ and ​ g(x)=3x−10 ​ intersect at (2, −1) What is the solution of −32x+2=3x−10 ?

Answers

Answer:

The solution of the equation is 2.

Step-by-step explanation:

The given functions are

f(x)=-(3)/(2)x+2

g(x)=3^x-10

It is given that the graph of f(x) and g(x) intersects each other at (2,-1).

The given equation is

-(3)/(2)x+2=3^x-10

The solution of this equation is the value of x where both the functions are eqaul.

Since both functions are equal at x=2, therefore the solution of the equation is 2.

The solution of -32x+2=3x-10 is (2,-1)

The regular octagon has a perimeter of 122.4 cm. Which statements about the octagon are true? Check all that apply.

Answers

Answer:

The length of segment XY can be found by solving for a in

20^2-7.65^2=a^2

The measure of the central angle \angle ZXW is 45\degree.

Step-by-step explanation:

If the regular octagon has a perimeter of 122.4cm, then each side is (122.4)/(8)=15.3cm

The measure of each central angle is (360\degree)/(8)=45\degree

The angle between the apothem and the radius is (45)/(2)=22.5\degree

The segment XY=a is the height of the right isosceles triangle.

We can use the Pythagoras Theorem with right triangle XYZ to get:

a^2+7.65^2=20^2

a^2=20^2-7.65^2

Therefore, the correct options are:

The length of segment XY can be found by solving for a in

20^2-7.65^2=a^2

The measure of the central angle \angle ZXW is 45\degree.