The equation is
R=100(1/2)^(d/5)
After one day the remaining is
R=100×(1÷2)^(1÷5)
R=87.06 remaining
It decreased by 12.94 (100−87.06)
So the daily percent of decreases is 12.94%
8 - 2x + 12x - 3
8 + (-2x + 12x) - 3
8 + 10x - 3
8-3 + 10x
5 + 10x
10x +5
Answer: Q=1/2p+15,= p=2q-30= Slope = 1.000/2.000 = 0.500
p-intercept = -30/1 = -30.00000
q-intercept = 30/2 = 15
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p-(2*q-30)=0
Solve p-2q+30 = 0
we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line p-2q+30 = 0 and calculate its properties
Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000
q-intercept = 30/2 = 15
When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000
p-intercept = -30/1 = -30.00000
Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.000/2.000 = 0.500
Answer:
y = 2 sqrt(2) - 2 or y = -2 - 2 sqrt(2) thus B. is the correct answer
Step-by-step explanation:
Solve for y:
-y^2 - 4 y + 4 = 0
Multiply both sides by -1:
y^2 + 4 y - 4 = 0
Add 4 to both sides:
y^2 + 4 y = 4
Add 4 to both sides:
y^2 + 4 y + 4 = 8
Write the left hand side as a square:
(y + 2)^2 = 8
Take the square root of both sides:
y + 2 = 2 sqrt(2) or y + 2 = -2 sqrt(2)
Subtract 2 from both sides:
y = 2 sqrt(2) - 2 or y + 2 = -2 sqrt(2)
Subtract 2 from both sides:
Answer: y = 2 sqrt(2) - 2 or y = -2 - 2 sqrt(2)