Answer:
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Answer:
(0, - 7 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(0, 7 ) → (0, - 7 )
Answer:
For w = 18 units perimeter is minimum
P = 2(18 + w)
Step-by-step explanation:
Given;
Area of the rectangle = 324 units²
P is the perimeter
w is the width
Let L be the length of the rectangle
therefore,
P = 2(L + w) ............(1)
also,
Lw = 324
or
L =
..........(2)
substituting 2 in 1
P = 
now,
for minimizing the perimeter
= 0
or
= 0
or
= 0
or
= -1
or
w² = 324
or
w = 18 units
For w = 18 units perimeter is minimum
therefore,
from 2
L = 
or
L = 18 units
objective function for P is:
P = 2(18 + w)
Answer:
The price of the jacket was $31.43
Step-by-step explanation:
Let the cost of a jacket = x
Let the cost of a pair of pants = y
Such that,
x + y = $66.12.........Equation 1.
From the conditional statement,
x = y - $3.26..........Equation 2.
Solve both equations simultaneously, using the substitution method
From Equation 2;
x = y - 3.26
Substitute y - 3.26 for x in Equation 1.
x + y = 66.12, now becomes,
y - 3.26 + y = 66.12
collect like terms
y + y = 66.12 + 3.26
2y = 69.36
y= 69.36/2 = $34.69.
Put y = $34.69 in Equation 2. to obtain x
x = 34.69 - 3.26
x = $31.43