Answer:
B.
Step-by-step explanation:
When reflecting over the x-axis:
(x, y) (x, -y)
The y changes signs (+, -)
Answer:
x = 18
Step-by-step explanation:
Given
+ 1 = 
+ 7 ( subtract 1 from both sides )
= + 6
Multiply through by 15 to clear the fractions
9x = 4x + 90 ( subtract 4x from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
This is a geometric sequence because each term is twice the value of the previous term. So this is what would be called the common ratio, which in this case is 2. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a(n)=nth value, a=initial value, r=common ratio, n=term number
In this case we have r=2 and a=1 so
a(n)=2^(n-1) so on the sixth week he will run:
a(6)=2^5=32
He will run 32 blocks by the end of the sixth week.
Now if you wanted to know the total amount he runs in the six weeks, you need the sum of the terms and the sum of a geometric sequence is:
s(n)=a(1-r^n)/(1-r) where the variables have the same values so
s(n)=(1-2^n)/(1-2)
s(n)=2^n-1 so
s(6)=2^6-1
s(6)=64-1
s(6)=63 blocks
So he would run a total of 63 blocks in the six weeks.
Answer:
See the attachment please.
Step-by-step explanation:
Statistics!! All work is on the picture, plus the boxed answers.
Answer:
see below
Step-by-step explanation:
Order of operations is parenthesis, exponents, multiplication, division, addition, subtraction.
since there are no exponents in this problem the next step is -2(2.2)
Simplify the previous step and you get -4.4
final answer is -7.6 - 4.4 = -12
