25.04.2023

What is the value of x in the equation below?



3|x – 3.5| + 7.5 = 7.5

. 1

Step-by-step answer

15.12.2022, solved by verified expert
Unlock the full answer
1 students found this answer . helpful

Answer:

x = 3.5

Step-by-step explanation:

3|x – 3.5| + 7.5 = 7.5  

3|x – 3.5| = 7.5-7.5 

3|x – 3.5| = 0 

|x – 3.5| = 0

x-3.5 = 0

x = 3.5

It is was helpful?

Faq

Mathematics
Step-by-step answer
P Answered by PhD

option: A is true.

(There is a strong positive relationship between x and y ).

Step-by-step explanation:

We are given a table of values of y for different values of x as:

x         7    8     9     10     11       12      13  

y          3     5     7      9      10     13      14

by the help of the correlation coefficient we can tell whether the relationship is strong or weak.

if the correlation coefficient is equal to one than the relationship is strong else it is weak.

Here we have correlation correlation coefficient for the data to be 0.9976 which is close to 1; hence the relationship is strong.

Also on plotting these points we see that the values are constantly increasing hence it is positive.

Hence option A is correct (There is a strong positive relationship between x and y ).



21. (06.07 mc) the table below shows the values of y for different values of x:   x 7 8 9 10 11 12 1
Mathematics
Step-by-step answer
P Answered by PhD

option: A is true.

(There is a strong positive relationship between x and y ).

Step-by-step explanation:

We are given a table of values of y for different values of x as:

x         7    8     9     10     11       12      13  

y          3     5     7      9      10     13      14

by the help of the correlation coefficient we can tell whether the relationship is strong or weak.

if the correlation coefficient is equal to one than the relationship is strong else it is weak.

Here we have correlation correlation coefficient for the data to be 0.9976 which is close to 1; hence the relationship is strong.

Also on plotting these points we see that the values are constantly increasing hence it is positive.

Hence option A is correct (There is a strong positive relationship between x and y ).



21. (06.07 mc) the table below shows the values of y for different values of x:   x 7 8 9 10 11 12 1
Mathematics
Step-by-step answer
P Answered by PhD

f'(x)\ge0 for all x in [-3, 0], so f(x) is non-decreasing over this interval, and in particular we know right away that its minimum value must occur at x=-3.

From the plot, it's clear that on [-3, 0] we have f'(x)=-x. So

f(x)=\displaystyle\int(-x)\,\mathrm dx=-\dfrac{x^2}2+C

for some constant C. Given that f(0)=7, we find that

7=-\dfrac{0^2}2+C\implies C=7

so that on [-3, 0] we have

f(x)=-\dfrac{x^2}2+7

and

f(-3)=\dfrac52=2.5

Mathematics
Step-by-step answer
P Answered by Specialist

The answer you are looking for is -2.

To solve the equation given, 7 ÷ 2 - 4.5 · 3 + 8, you follow the rules of PEMDAS.

First, solve 7 ÷ 2 to get 3.5. This leaves the equation to say "3.5 - 4.5 · 3 + 8".

Next, multiply 4.5 by 3 to get 13.5. The equation would now say "3.5 - 13.5 + 8".

Then, you subtract 13.5 from 3.5. 3.5 - 13.5 = -10. The equation says "-10 + 8"

Finally, add 8 to -10 to get a final answer of -2.

I hope this helps!

Mathematics
Step-by-step answer
P Answered by Master

The answer you are looking for is -2.

To solve the equation given, 7 ÷ 2 - 4.5 · 3 + 8, you follow the rules of PEMDAS.

First, solve 7 ÷ 2 to get 3.5. This leaves the equation to say "3.5 - 4.5 · 3 + 8".

Next, multiply 4.5 by 3 to get 13.5. The equation would now say "3.5 - 13.5 + 8".

Then, you subtract 13.5 from 3.5. 3.5 - 13.5 = -10. The equation says "-10 + 8"

Finally, add 8 to -10 to get a final answer of -2.

I hope this helps!

Mathematics
Step-by-step answer
P Answered by Master

8. Answer the original questions. (2 points: 1 point each question)

a) How long is each individual act?

Each individual act is 5 minutes.

b) How long is each group act?

Each group act is 10 minutes.

9. Discussion.

Discuss the reasonableness of your answers. (2 points: 1 point for each part)

a) Is the answer you found reasonable? Does it seem like enough time?

Yes, I believe the answer if found was reasonable. I think it is reasonable because 5 minutes seems to be enough time for an act with one person, and 10 minutes seems to be enough time for an act with multiple people.

Step-by-step explanation:

Mathematics
Step-by-step answer
P Answered by Specialist

8. Answer the original questions. (2 points: 1 point each question)

a) How long is each individual act?

Each individual act is 5 minutes.

b) How long is each group act?

Each group act is 10 minutes.

9. Discussion.

Discuss the reasonableness of your answers. (2 points: 1 point for each part)

a) Is the answer you found reasonable? Does it seem like enough time?

Yes, I believe the answer if found was reasonable. I think it is reasonable because 5 minutes seems to be enough time for an act with one person, and 10 minutes seems to be enough time for an act with multiple people.

Step-by-step explanation:

Mathematics
Step-by-step answer
P Answered by Specialist
Is (2,12) a solution to the given system? y>2x+4 y<3x+7
 
Yes

What is the solution of the system of equations shown below?
2x+2y=10 5x-2y=4

(2,3)

The point (-3,11) is a solution of which of the following systems?
y≥x-2 

Melissa keeps a jar for holding change. The jar holds 21 coins. All of the coins are quarters and nickels. The total amount in the jar is $3.85. How many quarters are in the jar?
21

Steve is taking a 50 question test and he answered all questions. He earned 3 points for each question he answered correctly. He lost 1 point for each question he answered incorrectly. His final test score was 102 points. The system of equations below describes the relationship between the number of questions he answered correctly (x) and the number of questions he answered incorrectly (y).
x+y=50 3x-y=102
Part of the solution of the system of equations is x=38. What does this value represent?

the number of points Steve earned from questions he answered correctly

Drake is recording a new album. The record company wants him to record 14 or fewer songs and the album must be shorter than 72 minutes. He can record short songs that are about 3 minutes in length or long songs that are about 5 minutes in length. Which system of inequalities best represents the number of short songs (x) and the number of long songs (y) Drake can record for his new album?
3x+5y≤72

Try asking the Studen AI a question.

It will provide an instant answer!

FREE