Answer:
b.
42+x+90+8=180° linear pair
x=180-140=40°
<em>x=40°</em>
c.
10+x+90+3x=180 linear pair
4x=180-100
x=80/4=20
<em><u>x=20</u></em>°
Each square is 2.2*2.2= 4.84 sqin
6 squares: 4.84*6= 29.04
hope this helps
The formula of the line is
y=mx + b
The likes goes through the point (0,0)
that means that y-int = 0, b=0
y=mx
So we need to find only slope.
[This question is such you will not understand a thing without your involvement as well. So follow my step and check by yourself]
First plot both functions on graph (this you gotta do yourself and check because only then you will learn)
How you plot the function?
f(x)=-3x³+5x-5
Put y=f(x)
y=-3x³+5x-5➡eqn(1)
So note the corresponding values of y on putting different values of x in that function.
I'll show u:
When x=0,y=-5 [calculate yourself it's easy just put x=0 and find value of y in eqn(1)]
Similarly,
x=1,y=-3
x=2,y=-19
[Similarly put x=-1,-2..and find corresponding y]
So you got points (0,-5),(1,-3),(2,-19)...plot these points and you have successfully plotted f(x).
Same process for plotting function g(x)....at least 6 points must be plotted.
❇After plotting f(x) and g(x):
1)check by yourself if they have same y-intercept (which is the distance between origin and the point of intersection of y-axis and the curve/line)
2) To check if they have same behavior or not,
increase the value of x[ie,1,2,3...] and note the corresponding value of y in function f(x) . Then decrease value of x[ie,-1,-2,-3..] and note corresponding value of y [note that y means function or f(x)]
Suppose f(x) has following end behavior:
When x increases f(x) tends to decrease
and when x decreases f(x) tends to increase
Now find end behavior of g(x) also..and if above end behavior matches with g(x), they will have same end behavior.
3) check by yourself by looking in plotted graphs of f(x) and g(x) whether they have at least one x-intercept or not.
4)g(x) is even function but f(x) is odd function.
So, g(x) is symmetrical over y-axis but f(x) is not.
5) Actually most of the algebraic polynomial functions don't show periodicity(but trigonometric and exponential function do). You can check by yourself by looking in plotted graph. If graph seems to be repeating same behavior it is periodic otherwise not. I am sure the given functions are not periodic. {Plz google periodic function if you want to know more}
Answer:
C. They most likely used an observational study asking students to keep track of their TV habits and weight.
A. This is an experiment because a treatment was applied to a group.
Step-by-step explanation:
According to our question:
1. The study concluded that there is a relation between watching TV and the weight gain in college freshmen.
Now, this is possible when a group of college students were asked to participate to watch TV for more than 1 hour for a specific amount of time and have a record of their weights.
So, the study is an observational study where the habits and weights of college students were observed.
Hence, option C is correct.
2. The students were divided onto two groups where one group used the computer program and the other did not to check the improvement in the reading levels.
This means that the students were given a procedure to follow during the study in order to see the results..
So, the study is an experiment where a treatment is applied to the group of students.
Hence, option A is correct.
