Answer:
70
+30x-140
Step-by-step explanation:
(7x+3) (10x-14)
70
-98+30x-42
70
+30x-42-98
70
+30x-140
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:
∡ZA = 66°
Step-by-step explanation:
Suplementary angles sum 180°
ZA + ZB = 180°
then:
(2x - 14)° + (3x-6)° = 180°
2x + 3x - 14 - 6 = 180
5x - 20 = 180
5x = 180 + 20
5x = 200
x = 200/5
x = 40
then:
∡ZA = (2x - 14)
∡ZA = (2*40 - 14)
∡ZA = (80-14)
∡ZA = 66°
Answer:
1312.5 cubic feet
Step-by-step explanation:
Let the swimming pool be a rectangular prism
The volume of a rectangular prism is:
Volume = length * width * depth
Length = 25 (given)
Width = 15 (given)
The depth is 4ft, but they want the volume when water is 6 inches FROM THE TOP, that is, out of 4 feet, 6 inches (1/2 feet) IS NOT FILLED. So the depth of water is
4 - 1/2 = 3.5 feet
So, we can say
Depth = 3.5 (found)
Hence, the volume would be:
Volume = 25 * 15 * 3.5 = 1312.5 cubic feet
Answer/Step-by-step explanation:
The first choice would be correct!
The solution for y-8 < = -2 is y < -2
And the solution for the first equation is the same solution.