Conditional statement is a statement with a hypotesis and a conclusion:
If 
, then 
or mathematically 
.
Converse statement of is statement 
.
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse: 
.
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive: 
.
Then,
Answer: the correct choice is D (the inverse of the original conditional statement).
Answer:
3.96mm/year
Step-by-step explanation:
Given that :
Given that:
Observed variation in water level over 6.2 years = - 13.64mm
Average annual trend shows rise in water level at 1.8 mm / year
difference between how much average water levels rose and how much the water level fell in the part of the river she observed?
Average Yearly observed variation :
Observed variation / number of years
-13.64mm / 6.2 years
= - 2.16 mm
Hence, observed yearly fall = - 2.16 mm
Yearly rise = 1.8mm / year
Difference :
( 1.8 mm/year) - (-2.16mm / year)
= (1.8 + 2.16) mm/year
= 3.96 mm/year
I would say. C
Since 100 factor is 10b. And -144 is 12a^2
hope this helps and you get it right
begin by pulling 2 out of the numerator using the distributive property.
numerator: 2(16x^4 - 25) and now factor
numerator: 2(4x^2 - 5)(4x^2 + 5)
Now go to the denominator. It looks messy but it will break down.
Pull out 4x^2 for the first two terms and 5 for the last 2 terms. Use the distributive property.
denominator: 4x^2(x - 3) - 5(x - 3) now x - 3 is the common term.
denominator: (x - 3)(4x^2 - 5)
Put the two results together.
After canceling out 4x^2 - 5 on both the numerator and the denominator, you are left with.
The zeros of a quadratic equation are equal to the x-intercepts of its graph. In other words, you must find the x-value that causes the expression to equal zero. Start by adding 4 to both sides of the equation:
X² - 5x + 4 = 0
Factor the equation:
(x - 1)(x - 4) = 0
Now calculate each piece separately, starting with the first one:
x - 1 = 0
Add 1 to both sides of the equation:
x = 1
We have proven that x = 1. Now calculate the second piece:
x - 4 = 0
Add 4 to both sides of the equation:
x = 4
We have proven that x = 4. Consequently, we have proven that (x = 1) and (x = 4) are the two zeros of this quadratic equation.
I hope this helps!
