Answer: 120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
Step-by-step explanation:
=24x(x^2 + 1)4(x^3 + 1)5 + 42x^2(x^2 + 1)5(x^3 + 1)4
Remove the brackets first
=[(24x^3 +24x)(4x^3 + 4)]5 + [(42x^4 +42x^2)(5x^3 + 5)4]
=[(96x^6 + 96x^3 +96x^4 + 96x)5] + [(210x^7 + 210x^4 + 210x^5 + 210x^2)4]
=(480x^6 + 480x^3 + 480x^4 + 480x) + (840x^7 + 840x^4 + 840x^5 + 840x^2)
Then the common:
=[480(x^6 + x^3 + x^4 + x) + 840(x^7 + x^4 + x^5 + x^2)]
=120[4(x^6 + x^3 + x^4 + x) +7(x^7 + x^4 + x^5 + x^2)]
ANSWER
EXPLANATION
According to the power property of logarithms:
The given logarithm is
When we apply the power property to this logarithm, we get,
Answer:
About 20.8 minutes
Step-by-step explanation:
TO solve this just think of it as a ratio. The number of potatoes goes on top and the time goes on bottom.
48
__
10
That is what the first one would look like. In the second one we know the number of potatoes but we are trying to find the time (x).
100
___
x
Take these two ratios and set them equal to each other.
Next you cross multiply (take 48 times x and 100 times 10).
48x=1000 Now divide by 48 and you have your answer.
About 20.8 minutes
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
Step One
Factor f(x)
f(x) = (x + 5)(x - 2)
Step Two
The zeros occur when either (x + 5) = 0 or (x - 2) = 0
x + 5 = 0
x = -5
x - 2 =0
x = 2
Step 3
Record the zeros
(-5,0) or (2,0) <<<<<< answer.
