You use the quadratic formula:
2x {}^{2} - 3x = 5
2x {}^{2} - 3x - 5 = 0
x = \frac{3 + - \sqrt{9 -4(2)( - 5)}}{2 \times 2}
x = \frac{3 + - \sqrt{49} }{4}
x = \frac{3 + 7}{4} \: and \: x = \frac{3 - 7}{4}
x = \frac{5}{2} \: and \: x = - 1
Answer:
Decay
Step-by-step explanation:
The equation shown has a ratio(number raised to the power) less than 1, so therefore it is decay. This basically comes from the fact that if you raise a number less than 1 to a power, it become smaller than the number itself.
(In the cases talked about above, we are neglecting negative numbers)
Answer:
x^2+y^2=9^2
Step-by-step explanation:
The standard equation of a circle is:

Where the center of a circle is (h,k) and r is the radius of the circle. In this case because a circle is equidistant from the center and we have a point where it passes through 9 that means that the radius is 9. However, since the standard equation states that we must write r in the form of
this means that
. Therefore by plugging in the values we have:

Answer:
1) The size of the colony after 4 days is 6553 mosquitoes
2) After
Step-by-step explanation:
To answer this question you must use the growth formula

Where
is the initial population of mosquitoes = 1000
t is the time in days
k is the growth rate
N is the population according to the number of days
We know that when t = 1 and
then N = 1600
Then we use these values to find k.

Now that we know k we can find the size of the colony after 4 days.

To know how long it should take for the population to reach 10,000 mosquitoes we must do N = 10000 and solve for t.

Answer:
100/100
Step-by-step explanation: