Answer:
3
Step-by-step explanation:
2x+2=8
2x=8-2
2x=6
x=6/2
x=3
The complete question is
<span>-2 2/3, -5 1/3, -10 2/3, -21 1/3, -42 2/3, ... Which formula can be used to describe the sequence?
a. f(x + 1) = –2f(x)
b. f(x + 1) = f(x)
c. f(x + 1) = -f(x)
d. f(x + 1) = 2f(x)
case a) </span>f(x + 1) = –2f(x)
for f(x)=-2 2/3
f(x+1)=-2*[-2 2/3]=5 1/3
5 1/3 is not -5 1/3
therefore
this is not the formula
case b) f(x + 1) = f(x)
for f(x)=-2 2/3
f(x+1)=-2 2/3
-2 2/3 is not -5 1/3
therefore
this is not the formula
case c) f(x + 1) = -f(x)
for f(x)=-2 2/3
f(x+1)=2 2/3
2 2/3 is not -5 1/3
therefore
this is not the formula
case d) f(x + 1) =2f(x)
for f(x)=-2 2/3
f(x+1)=2*[-2 2/3]=-5 1/3
for f(x)=-5 1/3
f(x+1)=2*[-5 1/3]=-10 2/3
for f(x)=-10 2/3
f(x+1)=2*[-10 2/3]=-21 1/3
for f(x)=-21 1/3
f(x+1)=2*[-21 1/3]=-42 2/3
therefore
the answer is the option
d. f(x + 1) = 2f(x)
I assume you mean the mixed number 1 + 7/9.
As an improper fraction, we have
1 7/9 = 1 + 7/9 = 9/9 + 7/9 = (9 + 7)/9 = 16/9
Then the square root of this is
√(1 7/9) = √(16/9) = √(4²/3²) = √((4/3)²) = 4/3
The slope would be 1/4
if you count up one and over four from the first point, you’ll get to the second point, and slope equals rise over run
