Answer:
The width which gives the greatest area is 7.5 yd
Step-by-step explanation:
This is an application of differential calculus. Given the area as a function of the width, we simply need to differentiate the function with respect to x and equate to zero which yields; 15-2x=0 since the slope of the graph is zero at the turning points. Solving for x yields, x=7.5 which indeed maximizes the area of the pen
Answer:
2.
Step-by-step explanation:
The first numbers in the ordered pairs are the x values;
Difference = 1 - 3 = -1
The absolute value is 2.
The equation is:
y
=
5
4
x
−
13
Explanation:
The slope-intercept form of a straight line is
y
=
m
x
+
c
In this case we have a point,
(
x
,
y
)
and the slope,
m
so all we need is a value for
c
.
Substitute into
y
=
m
x
+
c
−
3
=
5
4
(
8
)
+
c
−
3
=
10
+
c
c
=
−
13
Step-by-step explanation:
3/4 ×1/-24 +5/5
3×1/4×-24+4/5
3×1/4×-24+4/5
3/-96+4/5
-3/96+4/5
-1/32+4/5
ans:123/160