Answer:
Corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )
Explanation:
When a graph f(x) is multiplied by a factor k, the points on the graph also changes by (kx, ky).
Here it is given that (2,8) is on the graph of f(x)
Now we need to find corresponding point to (2,8) along -3/4 f(x)
x - coordinate = 
y - coordinate = 
So corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )
Answer:
Step-by-step explanation:
-2.8f + 0.7f - 14 - 4
- 2.1f - 18
(120x)^1/2 see attached photo for steps
Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent switches, each one set on or off. The receiver (wired to the door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches independently.<u>The probability of at least one pair of neighbors using the same settings is 0.65633</u>
Step-by-step explanation:
<u>Step 1</u>
In the question it is given that
Automatic garage door opener utilizes a transmitter control with four independent switches
<u>So .the number of Combinations possible with the Transmitters </u>=
2*2*2*2= 16
<u>
Step 2</u>
Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.
= 1- 16*15*14*13*12*11/(16^6)
<u>
Step 3</u>
Probability of at least one pair of neighbors using the same settings=
= 1- 0.343666
<u>
Step 4</u>
<u>So the probability of at least </u>one pair of neighbors using the same settings
is 0.65633
Answer:
6
Step-by-step explanation:
The equation for this would be:
n+8=14, since we are adding 8 to a number and getting 14
To solve, isolate the variable n, by subtracting 8 from both sides
n+8=14
n+8-8=14-8
n=6
The number is 6