Set equal to each other
x^2 - 8 = 2x
x^2 - 2x - 8 = 0
Factor
(x - 4)(x + 2) = 0
x = 4 or x = -2
Plug in 4
y = 2x or y = x^2 - 8
y = 2(4) or y = 4^2 - 8
y = 8
Plug in -2
y = 2x or y = x^2 - 8
y = 2(-2) or y = (-2)^2 - 8
y = -4
There are two solutions
(4, 8) and (-2, -4)
Answer:
3.9125 × 10⁵² people
Step-by-step explanation:
A rumor starts with 3 people and the number of people who heard it doubles each day.
How many people would have heard the rumor after 20 days?
To calculate exponential growth, we use the formula:
where;
a = value at the start =3
k = growth rate = 2×3 = 6
t = time = 20 days
y(t) = value of the population at the given time (t) =??
y(t) = 3.9125 × 10⁵² people
First, solve the given system of linear equations.
Second, multiply the first equation by 4 (which was an arbitrary choice). Add your result to the 2nd equation.
You should now have the following:
First equation: No change: <span>2x + 7y = 1
Second equation: 4(</span><span>-3x – 4y = 5) = -12x -16y = 20
Solve this new system of linear equations. Do you (or do you not) obtain the same solution as your earlier one?</span>
Answer:
d
Step-by-step explanation:
9/11 is the answer because 1 and 1/2 x 6 is 9
