Answer:
x=13
Step-by-step explanation:
8x - 10 = 94
Make 8x the subject
8x=94+10
8x=104
Divide both sides by 8
8x/8=104/8
x=104/8
x=13
-x + 7 = x - 5
add x to both sides of the equation
7 = 2x - 5
add 5 to both sides of the equation
12 = 2x
divide 2 from both sides of the equation
6 = x
a. Let us say that c(x) is the cost of one t shirt based
on the number of increases therefore:
c = 10 + x
b. Say that t(x) is the number of t shirts sold based on
the number of increases so:
t = 2500 – 100 x
b. The revenue is simply the product:
r(x) = (10 + x) (2500 – 100 x)
Combining:
r(x) = 25000 – 1000 x + 2500 x – 100 x^2
r(x) = 25000 + 1500 x – 100 x^2
Taking the 1st derivative and setting dr / dx
= 0 to get the maxima:
dr / dx = 1500 – 200 x
1500 = 200 x
x = 7.5
t = 2500 – 100 x = 2500 – 100 (7.5) = 1750
Hence 1750 shirts should be sold.
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A = (3,2)
B = (7,5)
The difference between x coordinates is 7-3 = 4, which squares to 4^2 = 16
The difference in y coordinates is 5-2 = 3 which squares to 3^2 = 9
add up the squares: 16+9 = 25
Then take the square root: sqrt(25) = 5
So the distance from A to B is 5 units
The length of segment AB is 5 units
The scale factor of 3 tells us to lengthen the segment by a factor of 3. In other words, triple the length
new length = (scale factor)*(old length)
new length = (3)*(5)
new length = 15
Answer: 15