Answer:
<h2>FALSE</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>
order of PEMDAS
- parentheses
- exponent
- multiplication or
- division
- addition
- subtraction
<h3>let's solve:</h3><h2><u>L.</u><u>H.S</u><u>=</u></h2>
- <u></u>
- <u></u>
<h2><u>≠R.H.S</u></h2>
therefore
<h3>the equality is false</h3>
Answer:
D.
Step-by-step explanation:
Find the average rate of change of each given function over the interval [-2, 2]]:
✔️ Average rate of change of m(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, m(a) = -12
b = 2, m(b) = 4
Plug in the values into the equation
Average rate of change =
=
Average rate of change = 4
✔️ Average rate of change of n(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, n(a) = -6
b = 2, n(b) = 6
Plug in the values into the equation
Average rate of change =
=
Average rate of change = 3
✔️ Average rate of change of q(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, q(a) = -4
b = 2, q(b) = -12
Plug in the values into the equation
Average rate of change =
=
Average rate of change = -2
✔️ Average rate of change of p(x) over [-2, 2]:
Average rate of change =
Where,
a = -2, p(a) = 12
b = 2, p(b) = -4
Plug in the values into the equation
Average rate of change =
=
Average rate of change = -4
The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]
Answer:
Step-by-step explanation:
Side z is the adjacent, since it is next to the angle you are solving for.
Side x is the opposite, since it is opposite the angle you are solving for.
The side measuring 14 is the hypotenuse, since it is across from the right angle.
Answer:
Step-by-step explanation:
Using the given expressions, we can write the area as ...
A = BH
42 = (2x +1)(x +3) = 2x^2 +7x +3
2x ^2 +7x -39 = 0
(x -3)(2x +13) = 0
x = 3 or -6.5 . . . . . these values make the factors be zero
In order for the parallelogram to have positive dimensions, the value of x must be 3. So, the base and height are ...
base = 2(3) +1 = 7
height = 3 +3 = 6
Answer:
Check the explanation
Step-by-step explanation:
Since each and every one of the 4 hallways is equally likely then
Now, if he chooses H1 he escapes after 12 minutes then
If he chooses H2 then he wastes 10 minutes and then he is again in the same starting
position so he expects to escape in E(T) minutes, then
Analogously, if he chooses H3 then he wastes 40 minutes and then he is again in the same starting
position so he expects to escape in E(T) minutes, then
Therefore
So we have
Therefore he is expected to escape in 72 minutes