-2 x 1 y = -1
Find the slope of this line
make y the subject
1 y = 2 x -1
Divide by 1
y = 2 x -1
Compare this equation with y=mx+b
slope m = 2
The slope of a line parallel to the above line will be the same
The slope of the required line will be 2
m= 2 ,point ( 2 , -2 )
Find b by plugging the values of m & the point in
y=mx+b
-2 = 4 + b
b= -6
m= 2
Plug value of the slope and b in y = mx +b
The required equation is y = 2 x -6
Answer: 17 years
Step-by-step explanation:
Exponential equation for compund amount( compunded continuously):
, where P= Principal value , r= rate of interest , t= time.
Given: A= 2P
r =4%= 0.04
To find : t
Substitute all values in the formula , we get
Taking natural log on both sides
hence, it will take 17 years (approx).
Answer: 1
-----------------------------------------------------
Explanation:
Replace every copy of x with -1. Then use PEMDAS to simplify
F(x) = -x^3 - x^2 + 1
F(-1) = -(-1)^3 - (-1)^2 + 1 ... every x has been replaced with -1
F(-1) = -(-1) - 1 + 1
F(-1) = 1 - 1 + 1
F(-1) = 0 + 1
F(-1) = 1
Answer:
<em>100feet</em>
Step-by-step explanation:
Given the height of the object modelled by the equation
y = -16x^2 + 48x + 64
We can find the maximum height reached by the object since we are not told what to find.
The velocity of the object at its max height is zero.
dy/x = 0
dy/dx = -32x + 48
0 = -32x + 48
32x = 48
x = 48/32
x = 1.5secs
get the max height by substituting x = 1.5 into the given equation:
y = -16x^2 + 48x + 64
y = -16(1.5)^2 + 48(1.5)+ 64
y = -36+72+64
<em>y = 100 feet</em>
<em>Hence the maximum height reached by the object is 100feet</em>