For a parallelogram, the parallel sides must be the same length. This means you can set their lengths equal to each other. Get like terms on the same side to calculate x.
3x-5=2x+3
3x-5+5=2x+3+5
3x=2x+8
3x-2x=2x-2x+8
x=8
x=8
Given:
The function is

where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
To find:
Number of complex and real zeros.
Time intervals for which the population increased and population deceased.
Solution:
We have,


Here, degree of function x is 3. It means, the given function has 3 zeros.
From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.
So, the given function r(x) has only one real root and other two real roots are complex.
Therefore, function r has 2 complex zeros and one real zero.
Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.
Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.
Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.
Answer:
h = 1.403733341286
Step-by-step explanation:
17.
the triangle of sides ‘l’ and ‘l-h’ is a right angled triangle.
Then

Then

Then

18.
For l = 6 and θ = 40 :

= 6-6cos(40)
= 1.403733341286
Answer:
Sams Investment will be $9995.62
Step-by-step explanation:
Answer:
x = 75
Step-by-step explanation:
x/15 = 5
Multiply each side by 15
15*x/15 = 5*15
x = 75