Lets use 1 to solve this problem because it is easiest to show.
Multiply 1 by 1.3 for a 30% increase (1*1.3=1.3).
Then multiply 1.3 by .7 for a 30% decrease. (1.3*.7=.91)
Therefore the page had a 9% reduction from its original size or is 91% of its original size.
1024 , multiply the last number by 4
Answer:
The correct answer is p = K × x × (m - p) , where K is the constant of proportionality and x is the current population of the habitat.
Step-by-step explanation:
A habitat of prairie dogs can support m dogs at most.
Let us consider the current population of the habitat be x.
Given the condition that the habitat's population, p, grows proportionally to the product of the current population (x) and the difference between m and p.
Thus the proportional equation would look like:
p ∝ x × (m - p)
⇒ p = K × x × (m - p) , where K is the constant of proportionality.
Thus the equation describing the above mentioned relationship is given by the above equation.
X/-9 ≥3 multiply both side by -9 to get rid of fraction
-9/1•x/-9 ≥-9•3
Cross cancel -9 on left side
x ≥ -27
Given
Endpoints of the diameter (5,2) and (-7,4)
Step One
Find the center
Center = (x2 + x1)/2 , (y2 + y1)/2
x2 = -7; x1 = 5; y2 = 4; y1 = 2
Center = (-7 + 5)/2 ; (4 + 2)/2;
Center = (-1 , 3)
Step Two
Find the radius squared using the distance formula. Use (5,2) as the second point. The other point is the center.
Distance squared = (5 - - 1)^2 + (2 - 3)^2
Distance squared = ( 6)^2 + (-1 )^2
Distance squared = 37
Step Three
State the circle's formula
(x - - 1 )^2 + (y - 3)^2 = 37
(x + 1)^2 + (y - 3)^2 = 37
