We're given the equation T = 3x + 2.
They're asking you to find the value of T when x = 1/3, so you all need to do is replace x by its value (in this case by 1/3) in the equation.
T = 3x + 2
T = 3 * (1/3) + 2
T = 3/3 + 2
T = 1 + 2
T = 3
So when x = 1/3 , T = 3.
Hope this Helps! :D
9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
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1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
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3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
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5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
Answer:
80+50P
Step-by-step explanation:
80 is fixed
50 is variable
1 device = 130
2 decices = 180
Well if she is making dinner for 10 people and each person want 2 pieces then you need to multiple 10 x 2 = 20. So she is going to need to make 20 pieces.
If each of her pumpkin pies only has 8 pieces then she is going to have to make 3 pies.
3 pies x 8 pieces = 24 pieces of pumpkin pie. So she has to make 3 pies because she needs 20 pieces since everyone wants 2.
In conclusion Mrs. Owens has to make 3 pies and she is going to have 4 pieces left over.
Great work! But please show more of the picture
