Answer:
vertex = (- 1, 3 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= -
y = 2x² + 4x + 5 ← is in standard form
with a = 2, b = 4, then
= - = - 1
Substitute x = - 1 into the equation for corresponding value of y, that is
y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3
vertex = (- 1, 3 )
We have that if we assume standard exponential growth, the equation of the population will be:
if we start counting from the moment that the population was 7000. We are given that 7000*
=12000, namely that P(5)=12000 and we need to find
. Since e^(10k)=e^(5k)*e^(5k), and since we can solve for e^(5k) from P(5), we have:
e^(5k)=12000/7000 and we can calculate P(10). P(10)=7000
= 20571 people.
Answer:
The slope is −4 . The equation is in slope-intercept form, y=mx+c , where m is the
Step-by-step explanation:
thanks me
#3)answer is choice D.77+W<_95;W<_18
#4)answer is choice A. t<7