Hello from MrBillDoesMath!
Answer:
a(n) = 12 - 3(n-1) , n = 1,2,3.,,
Discussion:
The terms are 12, 9, 6, 3 so we are apparently subtracting 3 from each succeeding term. . Hence
a(n) = 12 - 3(n-1) , n = 1,2,3.,,
Thank you,
MrB
Answer:
100000
Step-by-step explanation:
Move the decimal point to the right as many places as there are zeros in the factor.
Move the decimal point one step to the right (10 has one zero). Move the decimal point two steps to the right (100 has two zeros).
there I hope this helps you
Answer:
by 
by 
Step-by-step explanation:
In this problem I'm assuming the office is rectangular.
so
The area of rectangle is equal to

where
L is the length of the rectangle
W is the width of the rectangle
In this problem we have

so
------> equation A
Find two possible dimensions of the office
case A) Assume a length side L and find the value of W in the equation A
so
For 
substitute in the equation and solve for W


The dimensions are
by 
case B) Assume a length side L and find the value of W in the equation A
so
For 
substitute in the equation and solve for W


The dimensions are
by 
Answer:
<u><em>(x+5) is not a factor of f(x)</em></u>
Step-by-step explanation:
Step 1 : we solve the equation x +5 = 0
x + 5 = 0 then x = -5
Step 2: we plug in -5 into f(x)
If we get zero then x+5 is a factor of f(x)
If we get a number other than zero then x+5 is not a factor of f(x)
Calculation:
f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233
Since we got -233 and not 0
Therefore ,(x+5) is not a factor of f(x)
Isolate the p. First, add 16 to both sides
3p - 16 (+16) < 20 (+16)
3p < 36
Next, isolate the p. Divide 3 from both sides
3p/3 <36/3
p < 12
p < 12 is your answer
hope this helps