Answer:
The feasible region in the attached figure
Step-by-step explanation:
Let
x ----> the number of shirts
y ----> the number of pants
we know that
The cost of the shirts (number of shirts multiplied by the cost of one shirt) plus the cost of the pants (number of pants multiplied by the cost of one pant) must be less than or equal to $80
so
The inequality that represent this problem is

using a graphing tool
The feasible region is the triangular shaded area
see the attached figure
16<ac<24
If it is less than 16 it will not form a triangle and if it is more than 24 the other two legs will not be larger than ac is.
Answer:
x= 4.24
y= 4.24
Step-by-step explanation:
1) I began by analyzing the given number, which in this case is the hypotenuse. I know the hypotenuse is equal to x√2.
2) I divided 6 by √2, which gave me 4.24.
Answer:
<em>k = - 7.5 </em>
Step-by-step explanation:
Slope "m" of a line through points
(
,
)
(
,
)
is m =
Slopes of perpendicular lines are opposite reciprocal:
= - 1
~~~~~~~~~~~~~~~
The slope of a line through points (0, 7) and (2, 10)
=
=
Slope of perpendicular line through points (3, 5) and (k, 12) is
=
or
=
=
2(k - 3) = - 21
k - 3 = - 10.5
<em>k = - 7.5</em>
The Phase Shift is how far the function is shifted horizontally from the usual position.