A math class is having a discussion on how to determine if the expressions 4 x minus x + 5 and 8 minus 3 x minus 3 are equivalent using substitution. The class has suggested four different methods.Which describes the correct method?
Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two expressions must be equivalent.
Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are positive, then the two expressions must be equivalent.
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.

Answers

Answer 1

Answer:

Answer: Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two expressions must be equivalent.

Step-by-step explanation:

4x - x + 5 = 8 - 3x - 3

Combine like terms

4x - x + 5 = 5 - 3x

Subtract x from 4x

3x + 5 = 5 - 3x

Add -3x to both sides

6x + 5 = 5

Subtract 5 from each side

6x = 0

Divide by 6

x = 0

Put 0 into the equation

4(0) - 0 + 5 = 8 - 3(0) - 3

Multiply

0 - 0 + 5 = 8 - 0 - 3

Subtract

5 = 5

Answer 2

Answer:

Answer:

Step-by-step explanation:

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ALGEBRA! NEED HELP!~A glass prism on a chandelier is 75 millimeters long. A base of the prism is an equilateral triangle with side lengtsh of 9 millimeters and a height of about 7.8 millimeters. What is the approximate surface area of the prism?

Answers

To find out a glass prism's surface are you should first find the, base's are. Since the base is triangle, it's are formula is : $A\quad =\quad \frac { h.b }{ 2 }$ (which h is height and b is base length). $A\quad =\quad \frac { 7,8.9 }{ 2 } \n A=\quad \frac { 70,2 }{ 2 } \n A=\quad 35,1$ since there are two triangle's their total area will be 70.2 To find the remaining surface's are multiply the perimeter of the base with the length. $perimeter\quad =\quad 9\cdot 3=27\n 27\cdot 75=2025$ then sum the total surface : 70,2 + 2025 = 2095,2

What are all the roots of x2-4x+29=0

Answers

To solve a quadratic equation in the form $ax^2+bx+c=0$ you can use the quadratic formula:

$x_(1,2) = (-b\pm√(b^2-4ac))/(2a)$

In your case, the equation $x^2-4x+29=0$ is identified by the coefficient choice $a=1,\ b=-4,\ c=29$ , so the solving formula becomes

$x_(1,2) = (4\pm√(16-116))/(2) = (4\pm√(-100))/(2)$

As you can see, we have a negative number under a square root, an operation impossible to perform using real numbers. So, this equation has no real solutions.

Dr. Muniz recorded the wind speed at various locations within two counties, Lincoln and Tyler. She then made line plots from these data.What is the degree of overlap of the two data sets’ distributions?

Answers

I think it is moderate. Not positive.

What is the opposite of 4.25

Answers

It is -4.25.

Your welcome!

✡ Answer: -4.25✡

- - The opposite of POSITIVE 4.25 is NEGATIVE 4.25

✡Hope this helps✡

Sarah uses a recipe to make 7 gallons of her favorite mixed-berry juice. The containers she plans to use to store the juice have a capacity of 1 pint.How many containers will Sarah need?

Answers

Answer:

Step-by-step explanation:

Answer:

56 containers

Step-by-step explanation:

There are 8 pints in 1 gallon

8 x 7 = 56

A company famous for its nacho-flavored corn chips has developed two new formulas, A and B, which they hope their customers will like even more than the original formula. To determine whether customers prefer one of the new formulas over the current nacho flavoring, a sample of 50 customers is obtained. Each customer tastes both formula A and formula B in a randomly assigned order and indicates which one they prefer more. Which of the following best describes this study?This study is not well designed because there is no replication. Each customer tasted the formulas only once.

A

This study is not well designed because formulas A and B are not compared with the original formula.

B

This study is not well designed because the sample may not have been randomly selected.

C

This study is not well designed because each customer should taste the two new formulas in the same order.

D

This study is not well designed because there is not enough replication with only 50 customers.

Answers

Answer:

The study is not well designed because the formulas A and B are not compared with the original formula.

Hence, option B is correct.

Step-by-step explanation:

Given information:

As the company needs to check the flavors of nachos which are newly launched and to sell a particular amount the nachos should be liked by the customers.

Now, the sample of 50 customers are taken to taste the nachos as compared to previous one and if the sample is being liked by the customers then surely the demand will increase but the formula is not compared with the original hence the study is not well designed.

From, the above observation one can conclude that the study is not well designed because the formulas A and B are not compared with the original formula.

Hence option B is correct.

For more information visit:

brainly.com/question/24204162?referrer=searchResults

flavored nachos, so as to deliver it with proper mentioned reason.Hence,

Hence, This study is not well designed because formulas A and B are not compared with the original formula.

Step-by-step explanation:

As mentioned above, the cmpany needs to check the new upcoming flavors of nachos i.e., A and B and is said that it should meeet the requirement of getting better from their regular ones as well. For this, the company must release the two new nachos flavors A and B, irrespective of quantity and let the customers compare it with along the regular nachos.This demands for a fact that the 50 nachos been tasted should be compared with the regular flavored nachos so as to meet the demand getting better than the usual ones. For this to happen,the above mentioned study describes it the best.

This is the correct explanation for the above question

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