Answer:
x = 15
Step-by-step explanation:
As given, the equation 40 = 25 + x
As on the R.H.S of the equation, there is one constant and a variable x
As to isolate the variable we have to subtract the same constant so that that constant gives 0.
As we have the constant value 25
So, subtract 25 from both side of the equation, we get
40 - 25 = 25 + x - 25
⇒15 = x
∴ we get
x = 15
Answer: 2.5 miles per hour
Step-by-step explanation:
this problem is all about conversions
220 ft per minute
first get it to hours, since there is 60 minute in an hour multiply by a factor of 60
220 ft per minute becomes 13200 ft per hour
then you need to covert from ft to mi, there are 5280 ft in 1 mi so divide by 5280
13200 ft per hour becomes 2.5 miles per hour
Y= ∛(-x) - 3
for x = -8 → y = ∛-(-8) - 3 ↔ y = 2-3 ↔y = -1
for x= 8 → y= ∛(-8) - 3 ↔ y = -2 -3 ↔ y = -5
Then - 5≤ y≤ - 1
hence the range of y is {y|-5≤y≤-1}
Answer:
The first 5 terms of the sequence is 2,7,15,26,40.
Step-by-step explanation:
Given : Consider the sequence defined recursively by

To find : Write out the first 5 terms of this sequence ?
Solution :
and
The first five terms in the sequence is at n=1,2,3,4,5
For n=1,




For n=2,




For n=3,




For n=4,




For n=5,




The first 5 terms of the sequence is 2,7,15,26,40.
Answer:
Part 1)
----->
Part 2)
----> 
Part 3)
----> All real numbers
Part 4)
----> 
Step-by-step explanation:
we know that
The domain of a function is the set of all possible values of x
Part 1) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=0 the function is not defined
therefore
The domain is

Part 2) we have

we know that
In a quotient the denominator cannot be equal to zero
so
For the value of x=-4 the function is not defined
therefore
The domain is

Part 3) we have

Applying the distributive property

This is a vertical parabola open upward
The function is defined by all the values of x
therefore
The domain is all real numbers
Part 4) we have

we know that
In a quotient the denominator cannot be equal to zero
so
Equate the denominator to zero

Remember that

(
The solution is x=-4
so
For the value of x=-4 the function is not defined
therefore
The domain is
