You have the correct answer. The answer is choice D) Set of real numbers less than -1. Nice job.
As x approaches negative infinity, then -3^x approaches 0 though never actually gets there. So overall, f(x) approaches -1 as x approaches negative infinity. Plugging in x = 0 leads to f(x) = -2 which supports choice D.
Answer:
1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11
Step-by-step explanation:
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 803,000,000New Number: 8.03000000Step 2
Now, to find b, count how many places to the right of the decimal.
New Number:8.03000000Decimal Count:12345678
There are 8 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 8.03 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
8.03 x 108
Step 4
Check your work:
108 = 100,000,000 x 8.03 = 803,000,000
Answer:
3. (-3,-2)
Step-by-step explanation:
For an absolute value the equation, the transformations are as shown:
y= ±a|b(x-h)|+k.
'h' and 'k' are the vertex coordinates, meaning if y= |x+3|-2:
h= -3
and k= -2
Therefore, we get:
(-3,-2)
Answer:
A. 7.07 units
Step-by-step explanation:
Use the distance formula for coordinates:
Fill in the coordinates accordingly:
which simplifies down to
which is of course
Plug that into your calculator and you'll get the answer
