Answer:
a. 19
b. 14
Step-by-step explanation:
From the venn diagram, we see that:
9 children like only Vanilla
7 like vanilla and chocolate
12 like only chocolate, and
2 like neither chocolate nor vanilla
Thus:
a. Number of children that liked Chocolate ice-cream = those that like chocolate only + those that like both chocolate and vanilla = 12 + 7 = 19
19 children like chocolate ice-cream.
b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14
14 children do not like vanilla ice-cream.
Answer:

Step-by-step explanation:
Given


Required [Missing from the question]
G(T(x))
We have:

This implies that:

Substitute: 
![G(T(x)) = 3[9(x + 6.9)]](https://tex.z-dn.net/?f=G%28T%28x%29%29%20%3D%203%5B9%28x%20%2B%206.9%29%5D)
Open bracket

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:
x=37/20
Step-by-step explanation:
4(2x-7)+3(3x-1)=3(2-x)
8x-28+9x-3=6-3x
17x+3x=6+31
20x=37
Answer:
TT➪T
Step-by-step explanation: