Step-by-step explanation: Explanation:
y
−
2
=
3
(
x
−
1
)
3
x
−
y
=
3
−
2
=
1
x
1
3
+
y
−
1
=
1
is the intercept form of the equation.
Now we know the two points on the line as
(
1
3
,
0
)
,
(
0
,
−
1
)
By plotting the two points on a graph sheet and joining them gives the line required.
graph{3x - 1 [-10, 10, -5, 5]}
Hope this helps!!!
The standard form of a hyperbola is <span><span><span>x2/</span><span>a2 </span></span>− y<span><span>2/ </span><span>b2 = 1
the tangent line is the first derivative of the function</span></span></span><span>y′ = <span>b^2x/ a^2 y
hence the slope is </span></span><span>m = <span>b^2 x0 / <span>a^2 <span>x1
</span></span></span></span>Therefore the equation of the tangent line isy−x1 = b^2 x0 / a^2 x1* (x−x0)
Answer:
A) Yes, for each increase of 25 employees there is an increase of 150 products.
B) y = 6x + 10
C) the slope indicates the increase that will occur in the y-value for each unitary increase in the x-value, and the y-intercept indicates the inicial value of y (when x = 0)
Step-by-step explanation:
A)
Yes, there is a linear correlation, because a linear increase in the number of employees causes a linear increase in the number of products. For each increase of 25 employees there is an increase of 150 products.
B)
We can use two pair of points to write a linear equation in the model:
y = ax + b
Using x = 0 and y = 10, we have:
10 = a * 0 + b -> b = 10
Using x = 25 and y = 160, we have:
160 = a * 25 + 10
25a = 150 -> a = 6
So the equation is:
y = 6x + 10
C)
the slope indicates the increase that will occur in the y-value (number of products) for each unitary increase in the x-value (number of employees), and the y-intercept indicates the inicial value of y (when x = 0, that is, no employees)
