Answer:
44 yards
Step-by-step explanation:
Answer:
The answer is 0.3629
Step-by-step explanation:
Let E represent the elder bridge
Let Y represent the younger bridge
Let A represent the ancient bridge
The chance that the elder bridge will collapse next year is 16%
Pr(E) = 16%
= 0.16
The chance that the elder bridge will not collapse next year is Pr(E')
Pr(E')= 1 – 0.16
= 0.84
The chance that the younger bridge will collapse next year is 4%
Pr(Y) = 4%
= 0.04
The chance that the younger bridge will not collapse next year is Pr(Y')
Pr(Y')= 1 – 0.04
= 0.96
The chance that the ancient bridge will collapse next year is 21%
Pr(A) = 21%
= 0.21
The chance that the ancient bridge will not collapse next year is Pr(A')
Pr(A')= 1 – 0.21
= 0.79
The probability that exactly one of the bridge s will collapse next year is
1 – (Pr(E') n Pr(Y') n Pr(A'))
= 1 – (0.84*0.96*0.79)
= 1 – 0.637056
= 0.362944
= 0.3629(to 4 decimal place)
Factoring the term
we get ![-4x^2y^3(y-x)\\](https://tex.z-dn.net/?f=-4x%5E2y%5E3%28y-x%29%5C%5C)
Step-by-step explanation:
We need to factor the term: ![-4x^2y^2y^2+4x^3y^3](https://tex.z-dn.net/?f=-4x%5E2y%5E2y%5E2%2B4x%5E3y%5E3)
For factoring we need to find the common term in the expression given.
Solving:
![-4x^2y^2y^2+4x^3y^3\\=-4x^2y^4+4x^3y^3\\=-4x^2y^3(y-x)\\](https://tex.z-dn.net/?f=-4x%5E2y%5E2y%5E2%2B4x%5E3y%5E3%5C%5C%3D-4x%5E2y%5E4%2B4x%5E3y%5E3%5C%5C%3D-4x%5E2y%5E3%28y-x%29%5C%5C)
It cannot be simplified further.
So, Factoring the term
we get ![-4x^2y^3(y-x)\\](https://tex.z-dn.net/?f=-4x%5E2y%5E3%28y-x%29%5C%5C)
Keywords: Finding Factors
Learn more about Finding Factors at:
#learnwithBrainly
Start with the x intercepts.
You need to factor the original function.
y = x^2 - 4x - 21
y = (x - 7)*(x + 3) These are the correct factors.
The two roots are
x = 7
x = - 3
So the two points you want are (7,0) and (-3,0)
That makes the answer C <<<<========
The vertex is a little harder. You need to complete the square to get it. (I take it you don't know any calculus yet.
y = x^2 - 4x - 21
y = (x^2 - 4x + ... ) - 21
y = (x^2 - 4x + 4) - 21 - 4
y = (x - 2)^2 - 25
The vertex is (2,- 25)
The answer is B <<<<<<=======