Answer:
A function is said to be an even function if its graph is symmetric with respect to the y-axis. For example, the function f graphed below is an even function. Verify this for yourself by dragging the point on the x-axis from right to left. Notice that the graph remains unchanged after a reflection across the y-axis!
The correct answer would be option D.
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
The population represents all of the students in the school. Apart from his science class there can be students in arts class, music class, literature class and so on. He used convenience sampling by just surveying the students of his science class. The students in science class are those who are interested in science and related topics so these students will be more inclined towards watching a science program. Thus the survey of Johnny does not yield valid result and his inference is not valid.
Thus, option D is the correct answer.
Paralell has same slope
slope of ax+by=c is -a/b
so a paralalell line to ax+by=c is ax+by=z where a=a and b=b and z is a constant
so
paralalel to 3x-2y=-6 is 3x-2y=?
find ?
given point (4,2)
sub
3(4)-2(2)=12-4=8
equation is 3x-2y=8
solving for slope itnercept or y
minus 3x both sides
-2y=-3x+8
divide by -2
y=3/2x-4
B is answer
The shifts of the sinus function can be described with the formula:
<span>a<span>sin<span>(<span><span>bx</span><span>−c</span></span>)</span></span></span>+<span>d, where
a is the amplitude
b is the period
c is the phase shift
d is the vertical shift
So, the graph y=3sinx is phase shifted. The phase shift can be calculated as c/b= pi/3/1=pi/3
So, the function is phase shifted for pi/3.</span>
