Variable A is x. Variable B is y. (x,y)
2 , 2, 4, 5, 6, 7, 8, 9
Mean is computed by adding all the numbers in the data set and dividing it by its count.
2 + 2 + 4 + 5 + 6 + 7 + 8 + 9 = 43
43 / 8 = 5.375 rounded to 5.4
Slope of line passing through two points (x1,y1 ) and (x2 ,y2 ) is given by
m= y2-y1/x2 −x1
Since the line passes through (−2,5) and (6,4)
We have
Slope(m)= 4-5/6−(−2) =− 1/8
Answer:
32.5%
Step-by-step explanation:
His debt payments total $300 +350 = $650.
As a fraction of his income, that is ...
$650/$2000 = 325/1000 = 32.5/100 = 32.5%
Nicholas's debt to income ratio is 32.5%.
9514 1404 393
Answer:
100°
Step-by-step explanation:
The relevant relation for angle x is ...
x = (AB +DE)/2
and for angle y, it is ...
y =(AC -DE)/2
Using the second relation to write an expression for DE, we have ...
DE = AC -2y
In the first equation, this lets us write ...
x = (AB +(AC -2y))/2 = (AB +(2AB -2y))/2
2x = 3AB-2y . . . . . . . . . . . . . . multiply by 2
(2x +2y)/3 = AB = AC/2 . . . . . add 2y; divide by 3
AC = (4/3)(x +y) = (4/3)(60° +15°) . . . . multiply by 2, substitute known values
AC = 100°
Question says that the graph of function g is a vertical stretch of the graph of function f by a factor of 3.
Now we have to find about which equation describes function g.
We know that if f(x) is the given function then a*f(x) gives vertical stretch or compress by a factor of a.
when 0<a<1 then it compresses by factor of a.
when a>1 then it stretches vertically by factor of a.
Given that function f is stretched by a factor of a so that means we use a=3 in formula a*f(x)
Hence final answer will be g(x)=3f(x).
So choice A is correct answer.
