Answer: The equation is y = 0.25/(x - 4) + 3
Step-by-step explanation:
If we have a function y = f(x)
A compression means that we multiply the function by a factor smaller than 1.
Then the vertical compression by a factor of 0.25 is:
y = 0.25*f(x)
a translation by A units to the right, means that we need to valuate the function in x - A.
So now we have:
y = 0.25*f(x - 4)
A translation in the y-axis means that we need to add a constant to the equation, then if we tralate it by 3 units up, we have:
y = 0.25*f(x - A) + 3
Then, if f(x) = 1/x
Our new equation is:
y = 0.25/(x - 4) + 3
Answer:
A' = 6(3t +1)
Step-by-step explanation:
The area is the square of the side length, so ...
A = (3t +1)²
The derivative with respect to t is then
A' = 2(3t +1)·(3) = 6(3t +1)
If you like, you can multiply out the area expression first, then differentiate.
A = 9t² +6t +1
A' = 18t +6
This can be factored, if you like, to ...
A' = 6(3t +1)
Answer:
Claire owed Martha $8 she originally owed Martha 12 but already gave her 4 this was a problem for Claire considering she only got $4 a week
Answer:
Cheryl is correct.
Step-by-step explanation:
Cheryl solved a problem : 84 ÷ 0.01 = 8,400.
This is absolutely right.
When we divide any whole number with the divisor having decimal, we change the divisor to a whole number before performing the division.
To do this, we multiply both the numbers (divisor and dividend) by the same power of 10, until the divisor is a whole number.
= 
to make divisor a whole number we will again multiply both the numbers by 10.
=
= 8,400
Now answer would be 8400.
Therefore, Cheryl is correct.