Answer:
Step-by-step explanation:
Check for continuity by evaluating 2^x and -x^2 - 4x + 1 at the break point x = 0: 2^0 is 1 and -x^2 - 4x + 1 is also 1, so these two functions approach the same value as x approaches 0.
Now do the same thing with
-x^2 - 4x + 1 and (1/2)x + 3 at x = 2; the first comes out to -11 and the second to 4. Thus, this function is not continuous at x = 2.
We must reject statement A.
Statement B: as x increases without bound, (1/2)x + 3 also increases without bound. This statement is true.
Statement C: False, because the quadratic -x^2 - 4x + 1 has a maximum at
x = -b/[2a], or x = -(-4)/[-2], or x = -2
Statement D: True: there are no limitations on the values of the input, x.
Answer:
b
Step-by-step explanation:
4x-5y=15
-5y=-4x+15
y=4/5x+15
Answer:
39.0625%
Step-by-step explanation:
The area of a 25 inc TV screen is 300in²
The area of a 40 inch TV screen is 768in²
Percentage of area of the smaller screen to larger screen is;
300/768 × 100 = 39.0625%
The probability of getting exactly zero tails is 1/8.
Step-by-step explanation:
When a fair coin is tossed three time, the set of equally likely outcomes is:
S= {HHH,HHT, HTH, THH, HTT, THT, TTH, TTT}
n(S)=8
Let A be the event that there are exactly zero tails which means there are all heads
Then
A= {HHH}
n(A)=1
The probability of getting exactly zero tails is 1/8.
Keywords: Probability, Equally likely events
Learn more about probability at:
#LearnwithBrainly
