Answer:
0 and -1
Step-by-step explanation:
I used a Graphing Calculator.
Its called Desmos, I really recommend it
For this question the answer is -3/2
Answer:
y =
x + 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)
m =
=
, hence
y =
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (1, 5 ), then
5 =
+ c ⇒ c = 5 -
= 
y =
x +
← in slope-intercept form
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:
125
Step-by-step explanation:
x + y = 5
We need to have x^3 and y^3 in the expression, so cube both sides.
(x + y)^3 = 5^3
Expand the left side.
(x + y)(x + y)^2 = 125
(x + y)(x^2 + 2xy + y^2) = 125
x^3 + 2x^2y + xy^2 + x^2y + 2xy^2 + y^3 = 125
x^3 + 3x^2y + 3xy^2 + y^3 = 125
Now we need to separate x^3 + y^3.
x^3 + y^3 + 3x^2y + 3xy^2 = 125
We need to turn 3x^2y + 3xy^2 into 15xy.
Factor the GCF, 3xy, out of 3x^2y + 3xy^2.
x^3 + y^3 + 3xy(x + y) = 125
We know that x + y = 5, so substitute x + y with 5.
x^3 + y^3 + 3xy(5) = 125
x^3 + y^3 + 15xy = 125
Answer: 125