Answer:
A.(26)X =1
26x =1
divide both sides by 26 to make x the subject
26x/1=1/26
x = 1/26
Step-by-step explanation:
B 50(x) =1
50x =1
x =1/50
All squares are equal sides.Let X be the side of a square.
Area of square,A = x^2
Here a tile is a square of side length 'x'. The following polynomial represents,
(x - 4) represents "the width of the new tile" (because 4 inches cut from the tile)
4x represents "the area removed from the tile" (since one side of removed tile is 'x' and other is 4 inches.)
x2 represents "area of original tile" of side equal to 'x'
x represents "the length of the new tile" (since length of new tile is not reduced. Length =x and breadth is x-4
Answer:
Audrey can afford 4 hours of lesson.
Step-by-step explanation:
Given that:
Amount Audrey has to spend = $111
Cost of racket = $55
Cost per lesson = $14
Let,
y be the total cost
x be the number of hours
According to given statement;
y = 14x + 55
111 = 14x + 55
111 - 55 = 14x
14x = 56
Dividing both sides by 14

Hence,
Audrey can afford 4 hours of lesson.
Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²
Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.
A'(x)=3000-18X
Set derivative equal to 0
0=3000-18X
166.6666666=X
Now test the intervals
(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -
Plug the X value back into the secondary equation
5y+3(166.666666)=1000
5Y=500
Y=5
Answer:
X= 166.6666666666
Y=5
Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.