Y = x^2 +2x
y = 3x +20
so:
x^2 + 2x = 3x + 20
subtract 3x from both side:
x^2 +2x -3x = 20
combine like terms:
x^2 -x = 20
subtract 20 from each side:
x^2 -x -20 = 0
factor the polynomial:
(x-5) (x+4) = 0
solve for x
x = 5 and x = -4 ( 5-5 = 0 and -4 +4 = 0 )
replace x = 5 in 2nd equation: y = 3(5) +20
y = 15 +20
y = 35
replace x with -4 in same equation:
y = 3(-4) +20
y = -12 +20
y = 8
so solution is (5,35) and (-4,8)
Answer is 13 i hope this helps like it
Answer:
d = 2750/Cos 48
Step-by-step explanation:
We need the value of the angle from the vertical axis
90 - 42 = 48°
We are trying to find the distance d which is the Hypotenuse of the right angled triangle formed.
The relationship between the adjacent and hypotenuse is help by the cosine of the angle between them
such that
Cos 48 = Adj/Hyp
Cos 48 = 2750/d
d Cos 48 = 2750
d = 2750/Cos 48
Answer:
62.77 million gallons
Step-by-step explanation:
Given,
The function that shows rate of leaking oil per minute in after t hours,

∵ 1 hour = 60 minutes ⇒ 3 hours = 180 minutes,
Hence, the quantity of oil leaked out in the first 3 hours,



![=0.7[tan^{-1}(t)]_{0}^{180}](https://tex.z-dn.net/?f=%3D0.7%5Btan%5E%7B-1%7D%28t%29%5D_%7B0%7D%5E%7B180%7D)


= 62.77 million gallons
Answer:
Seth has 21 nickels
Step-by-step explanation:
Let n represent the number of nickels. Since Seth has 8 more nickels than dimes, then (n-8) is the number dimes.
Nickel is worth 5 cents and dime is worth 10 cents. Thus, n nickels are worth 5n cents and (n-8) dimes are worth 10(n-8) cents. The total value of Seth's coins is $2.35 that is 235 cents, then

Solve this equation:
