Answer:
a_n=125×20^(n-1)
Step-by-step explanation:
a_n=x×y^(n-1)
a_3=50000=x×y^2
a_5=20000000=x×y^4
y^2=20000000/50000=400
y=20;x=125
Answer:
f(x) = -3x
--->#6
f(x) = |x-1|+3
--->#5
f(x) = √(x+3)
--->#3
1/2x²
--->#1
f(x) = (x+1)²-3
--->#4
4|x|--->#2
Step-by-step explanation:
Recall for transformations:
- Adding a number outside the function moves it up
- Subtracting a number outside the function moves it down
- Adding inside the function moves it to the left
- Subtracting inside the function moves it to the right
- Multiplying to the function by a number less than 1 compresses
- Multiplying to a function by a number greater than 1 stretched it
- Multiplying by a negative flips the graph
f(x) = -3x
This is multiplication by a number greater than 1 and a negative so this stretches and flip. This is #6, a reflection.
f(x) = |x-1|+3
Subtraction inside the function shifts it to the right 1 and addition outside shifts it up 3. This is #5.
f(x) = √(x+3)
Addition inside the function shifts it to the left 3. This is #3
1/2x²
Multiplication by 1/2 which is less than 1 compresses it. This is #1.
f(x) = (x+1)²-3
Addition inside the function shifts the function to the left once. This is #4.
4|x|
Multiplying by 4, a number greater than 1, stretches it. This is #2.
Answer:
The answer would be A.
Step-by-step explanation:
Answer:
Part 67) 
and 
Part 68) 
or 
Step-by-step explanation:
Part 67) we know that
The solution of the number line is the interval -------> (-2,3)
All real numbers greater than -2 and less than 3
so
The compound inequality could be
and
"And” indicates that, both statements must be true at the same time
Part 68) we know that
The solution of the number line is the interval (-∞,-1] ∪ [1,∞)
All real numbers less than or equal to -1 or all real numbers greater than or equal to 1
The compound inequality could be
or
"Or” indicates that, as long as either statement is true, the entire compound sentence is true
Answer:
The answer is 48.
Step-by-step explanation:
There are 4 triangles in each square. So multiply 4 by 12 because thats how many squares there are.
