x=3, you can find this by using finding common bases for equation b because 243=3^5. Because of that you can get rid of three on both sides to get the equation 2x-1=5 and then just solve for x to get x=3. For the first equation 5^3=625 so that also proves x=3.
Sorry if my explanation is a little disorganized if you need more help feel free to ask
Answer:
Option D is correct. All US households are among the population of interest.
Step-by-step explanation:
The Census bureau is a national body in the U.S. and they do the survey of 250000 different households monthly. The surveys go out to all corners of the U.S. depending on which part of the nation is doing the survey next.
It shows that the entire U.S. population is of interest to the census bureau.
Answer:

Step-by-step explanation:
We have to vertically stretch the function
by a factor of 2.
Then the function will become
.
Then it is reflected across the x-axis.
So, the new function will be
.
Now, if the function is shifted down 3 units then the final function will become
(Answer)
Question 6
Given:
QR = RS
QR = x + 6
RS = 4x
To find:
Length of line segment QS
Steps:
We know QR = RS, so substituting we get,
x + 6 = 4x
6 = 4x - x
6 = 3x
6/3 = x
2 = x
x = 2
Now,
QS = QR + RS
QS = x + 6 + 4x
QS = 2 + 6 + 4(2)
QS = 2 + 6 + 8
QS = 8 + 8
QS = 16 units
Therefore, the length of QS is 16 units
Question 7
Given:
QR = RS
QR = 2x - 2
RS = 2x
To find:
Length of line segment QS
Steps:
We know that QR = RS, so substituting the values we get,
QR = RS
3x - 2 = 2x
3x - 2 - 2x = 0
3x - 2x = 2
x =2
Now,
QS = QR + RS
QS = 3x - 2 + 2x
QS = 3(2) - 2 + 2(2)
QS = 6 - 2 + 2(2)
QS = 6 - 2 + 4
QS = 4 + 4
QS = 8 units
Therefore, the length of QS is 8 units
Happy to help :)
If u need any help feel free to ask
If the regular soccer goal was 24 ft wide and the kid soccer goal was 6 ft wide 6x4=24 so if you would do the same thing to the height the kid soccer goal would be 2 ft tall