Answer:
(a)The cost of ordering 3 Custom T-shirts is $39.
The cost of ordering 3 Fancy T-shirts is $75
(b)15 T-Shirts
Step-by-step explanation:
(a)Let n be the number of T-Shirts ordered
Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered.
Cost, C=15+8n
Therefore, the cost of ordering 3 Custom T-shirts
= 15+8(3)
=15+24
=$39
Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered
Cost, C=60+5n
Therefore, the cost of ordering 3 Fancy T-shirts
= 60+5(3)
=60+15
=$75
(b)We are to determine the number, n at which the costs, C will be equal.
If C=60+5n and C=15+8n are equal, then:
60+5n=15+8n
8n-5n=60-15
3n=45
n=15
Therefore, the cost of both T-shirts will be equal when 15 T-shirts are ordered.
F(x)=-5(x-4)^2+80
f(x)=-5(x²-8x+16)+80
f(x)=-5x²+40x-80+80
f(x)=-5x²+40x
Replace f(x) to y, now switch the location of the variables x and y. Solve for new y.
y=-5x²+40x
x=-5y²+40y
0=-5y²+40y-x
Use quadratic formula to find the value of y.
y=-40+-√(40^2 -4(-5)(-x)/2(-5)
f^-1(x)= (-40+-√1600-20x)/-10 <--- Not too sure about this one :/
Hope I helped :)
It will take 24 minutes.
this is because the lowest common multiple is 24.
hope this helps you
Distance=√(x2−x1)2+(y2−y1)2 Distance = x 2 - x 1 2 + y 2 - y 1 2. Substitute the actual values of the points into the distance formula. √((8)−(3))2+((−7)−(−5))2 8 - 3 2 + - 7 - - 5 2. Simplify.
Recall that +(-1) = -1. Thus, +(-12) = -12. Then you have -6n - 12 + 4n, or
12-4n (answer)
This is equivalent to 2(2n-6).
You must also check 4(n-3) - 6n. Is the end result the same as 2(2n-6)?