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murzikaleks [220]
3 years ago
8

What’s the inverse of 4x + 12

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

1/4x -3

Step-by-step explanation:

To find the inverse of a function, exchange x and y and then solve for y

y =4x+12

Exchange x and y

x = 4y+12

Solve for y

Subtract 12 from each side

x-12 = 4y+12-12

x-12 = 4y

Divide by 4

(x-12)/4 = 4y/4

The inverse is

1/4x -3

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Step-by-step explanation:

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HELP!!!!
ss7ja [257]
<h3>3 Answers: Choice D, Choice E, Choice F</h3>

============================================================

Explanation:

The inequality 6x - 10y ≥ 9 solves to y ≤ (3/5)x - 9/10 when you isolate y.

Graph the line y = (3/5)x - 9/10 and make this a solid line. The boundary line is solid due to the "or equal to" as part of the inequality sign. We shade below the boundary line because of the "less than" after we isolated for y.

Now graph all of the points given as I've done so in the diagram below. The points in the blue shaded region, or on the boundary line, are part of the solution set. Those points are D, E and F.

We can verify this algebraically. For instance, if we weren't sure point E was  a solution or not, we would plug the coordinates into the inequality to get...

6x - 10y ≥ 9

6(5) - 10(2) ≥ 9 .... plug in (x,y) = (5,2)

30 - 20 ≥ 9

10 ≥ 9 ... this is a true statement

Since we end up with a true statement, this verifies point E is one of the solutions. I'll let you check points D and F.

-----------

I'll show an example of something that doesn't work. Let's pick on point A.

We'll plug in (x,y) = (-1,1)

6x - 10y ≥ 9

6(-1) - 10(1) ≥ 9

-6 - 10 ≥ 9

-16 ≥ 9

The last inequality is false because -16 is smaller than 9. So this shows point A is not a solution. Choices B and C are non-solutions for similar reasons.

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3 years ago
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Step-by-step explanation:

You can use this equasion to solve the problem: 75+52x=c

In this case, x would equal the number of hours he would work and c would represent the final cost.

Basically, you can just multiply the hourly cost by the hours he works and then add the service fee. Hope this helped!

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the curved surface of a cylindrical surface is 704 cm square calculate the height when the radius is 8cm​
AlexFokin [52]

Answer:

CSA of cylinder = 704cm²

We know that

CSA of cylinder = 2πrh

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or, 2*22/7 *8 *h = 704 ( since r=8cm)

or, 352h = 704*7

or, h = 4928/352 = 14cm

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3 years ago
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