Answer:
2,8,32,128,512
Step-by-step explanation:
f(x)=f(x-1)*4
f(1)=2
f(2)=f(2-1)*4=f(1)*4=2*4=8
f(3)=f(3-1)*4=f(2)*4=8*4=32
f(4)=f(4-1)*4=f(3)*4=32*4=128
f(5)=f(5-1)*4=f(4)*4=128*4=512
Answer:
Step-by-step explanation:
First, you want to do inverse operations like I said on the last equation
Just divide -4 with 64
You have to flip the inequality sign because you divided by a negative
Answer: g ≥ -16
Now what is greater than or equal to -16?
Answer =
-16
-11
-6
-13
Mohamed decided to track the number of leaves on the tree in his backyard each year. the first year, there were 500 leaves. each year thereafter, the number of leaves was 40% more than the year before. let f(n) be the number of leaves on the tree in Mohamed's backyard in the n^th year since he started tracking it. f is a sequence. what kind of sequence is it?
Number of leaves on the tree in first year = 500
The number of leaves was 40% more than the year before.
So rate of increase is 40/100 = 0.4
We use exponential growth formula,
f(n) = a(1+r)^n
Where a is the initial number, r is the rate of growth, n is the number of years
We know a= 500, r= 0.4
f(n) = 500(1+0.4)^n
f(n) = 500(1.4)^n
Plug in n=1,2,3...
f(1) = 500
f(2) = 500 * 1.4^1
f(3) = 500 * 1.4^2 and so on
From this we can see that the common ratio is 1.4
Hence it is a Geometric sequence.
The number is x
it is negative
the square is 28 more than 3 times itself
x²=28+3x
minus (28+3x)
x²-3x-28=0
factor
(x-7)(x+4)=0
set to zero
x-7=0
x=7
this is not the answer because we were told the number was negative
x+4=0
x=-4
correct
the number is -4
test
(-4)²=28+3(-4)
16=28-12
16=16
check
the number is -4
