Answer:
170
Step-by-step explanation:
19 45 - 16 55
For convenience, let's find the lapse from 17 00 till 19 45, it's simple 2 hours and 45 mins.
Now add the 5 mins we neglected (from 16 55 to 17 00).
That's 2 hours and 50 mins
1 hour = 60 mins
2 hours = 120 mins
2 hour 50 mins = 170 minutes
Answer:
m<BXY = 36degrees
Step-by-step explanation:
If XY bisects ∠AXB, then;
<AXY + <BXY = <AXB
Given
m∠AXY = (3x^2 - 12)°
m∠AXB = -18x°
Required
Find m∠BXY.
From the formula above;
Find m∠BXY = <AXB - <AXY
m<BXY = -18x - (3x^2-12)
m<BXY = -18x - 3x^2 + 12
m<BXY = -3x^2 -18x + 12
Also <AXY = m<BXY
3x^2 - 12 = -3x^2 -18x + 12
6x^2 + 18x -24 = 0
x^2+3x-4 = 0
Factorize
x = -3±√9+16/2
x = -3±5/2
x = -3+5/2 and -3-5/2
x = 2/2 and -8/2
x = 1 and -4
Substitute x = 1 into m<BXY
m<BXY = -3x^2 -18x + 12
m<BXY = -3(1)^2 -18(1) + 12
m<BXY = -3 -18+ 12
m<BXY = -9
when x= -4
m<BXY = -3(-4)^2 -18(-4) + 12
m<BXY = -3(16) +72+ 12
m<BXY = -48+84
m<BXY = 36degrees
D because if you sub in 1 for x the answer is 4 which is y
Let's consider each of the options;
A) The range is the values that y can be of the function f(x). We can see that no matter what x values you put in, f(x)>0. It will never be negative. Although, if you put (1/2)^2, you can get a y value of (1/4) so this statement is incorrect.
B) It would have to put in the x or y value into the function and check. f(0)=(1/2)^0
You know that anything to the zero-th power gives 1, therefore, this statement is correct.
C) Again, if you put in a value such as (1/2)^2, you would be getting a number that is smaller than 1/2, so it isn't always increasing.
D) Again, it is possible to input any value in x and you would still be getting a positive y-value, therefore, this statement is incorrect.
Hope I helped :)
You need more information for this question... such as how much pens were in the bag