F(x) = 3(3x + 4) The inverse

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

find the inverse of the function y=9x+12

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: y=9x+12 becomes x=9y+12.

Now, solve the equation x=9y+12 for y.

$f^{-1}$ (x) = (x-12)/9

y=(x−12)/9

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FABRIC You can spend at most $60 on lace. Cotton lace is $2 per yard and linen lace is $3 per yard. Write an inequality for the

IgorLugansk [536]

Answer:

2c + 3l ≤ 60

Step-by-step explanation:

Let's say you buy c yards of cotton lace and l yards of linen lace. The cotton lace will cost $2 per yard, and for c yards, you have to pay $2 c times, coming to a total of 2*c for the cotton lace. For the linen lace, you'd have to pay 3*l for l yards. The total amount of lace is thus equal to cotton lace cost + linen lace cost = 2c + 3l.

Total amount needs to be less than or equal to 60 (at most 60), so total amount = 2c + 3l ≤ 60

We can then plug our values of cotton and linen lace into our equation

12 yards of cotton lace, 15 yards of linen lace

2c + 3l ≤ 60

2(12) + 3(15) ≤ 60

24 + 45 ≤ 60

69 ≤ 60

This is false, so you cannot buy these amounts of lace.

3 0

3 years ago

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goldenfox [79]

$z_1=4+2i\\z_2=-1+2i\\\overline(z_2)=\sqrt{(-1)^2+(2i)^2}=\sqrt{1-4}=i\sqrt{3}\\ z_1+\overline(z_1)=4+2i+\sqrt{4^2+(2i)^2}=4+2i+\sqrt{16-4}=4+\sqrt{12}+2i\\z_2+\overline(z_2)=-1+2i+\sqrt{(-1)^2+(2i)^2}=-1+2i+\sqrt{1-4}=-1+(2+\sqrt{3})i$