Answer:
solution set={18,10}
Step-by-step explanation:
x²-8x-180
comparing the above equation with the standard quadratic ax²+bx+c=0 equation,we get
here a=1 and b=-8 and c=-180
the quadratic formula is
x=-b±√(b)²-4ac/2a
putting values in the quadratic equation
x=-(-8)±√(-8)²-4(1)(-180)/2(1)
x=8±√64+720/2
x=8±√784/2
either
x=8+√784/2 or x=8-√784/2
x=8+28/2 or x=8-28/2
x=36/2 or x=-20/2
x=18 or x=-10
solution set = {18,-10}
i hope it will help you
Answer:
Books'R'Us is proportional. Bargains'R'Us is not proportional.
Step-by-step explanation:
Susan buys books at two stores. At Books'R'Us, she can buy a book for $1.25 each. At Bargains'R'Us, she made a deal to buy a set of 3 books for $4.00 and a set of 5 books for $5.00.
Book'R'Us is proportional because each book costs a consistent value of $1.25. 0 books is $0. 1 book will be $1.25 and 2 books will be $2.50 and 3 books will be $3.75.
Bargains'R'Us is not proportional because each book has a different price depending on the bargain. Though 0 books is $0, a set of 3 costs $4.00 or $1.34 a book. A set of 5 costs $5.00 or $1 per book. The cost is not consistent or constant. It changes from situation to situation. This is not proportional.
Answer:
x
Step-by-step explanation:
According to Vieta's Formulas, if
are solutions of a given quadratic equation:
Then:
is the completely factored form of
.
If choose
, then:
So, according to Vieta's formula, we can get:
But
:
![d^4-8d^2+16=(d^2-4)^2=[(d+2)(d-2)]^2=(d+2)^2(d-2)^2](https://tex.z-dn.net/?f=d%5E4-8d%5E2%2B16%3D%28d%5E2-4%29%5E2%3D%5B%28d%2B2%29%28d-2%29%5D%5E2%3D%28d%2B2%29%5E2%28d-2%29%5E2)
Answer:
a, b, d and f
Step-by-step explanation:
To find which equation will have a a mass less than 50 mg after 2 hours, we just need to use the value of x = 2 and then verify if the values of y are less than 50:
a. y = 100*(0.5)^2 = 25 -> apply
b. y = 500*(0.3)^2 = 45 -> apply
c. y = 80*(2)^2 = 320 -> doesn't apply
d. y = 10*(1.2)^2 = 14.4 -> apply
e. y = 30*(1.5)^2 = 67.5 -> doesn't apply
f. y = 80*(0.2)^2 = 3.2 -> apply
g. y = 100*(2)^2 = 400 -> doesn't apply
