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Bumek [7]
3 years ago
13

I need the inverse operation for questions 1,3,7,9

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0

3. g(x) = (x-3)^2 -5

Replace g(x) with y

y = (x-3)^2 -5

Switch the x and the Y:

x = (y-3)^2 -5

Solve for y:

Add 5 to both sides:

x + 5 = (y-3)^2

Take the square root of both sides:

+ /- SQRT(x+5) = y -3

Add 3 to both sides:

y = +/- SQRT(x +5) +3

The solution is both the positive and negative:

SQRT(x +5) +3 and -SQRT(x+5) +3

7. Following the same steps as 3

The answer is SQRT(x-2) -6 and -SQRT(X-2) -6

9. Following thw same steps as 3.

The answer is SQRT(2(x+4)) +2 and - SQRT(2(x+4))

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Answer:

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Step-by-step explanation:

Since the given figure is a 3-dimensional shape, we know that there must be three zeroes.

Our equation is:

6x³ - 3x² - 45x

First, we can factor out an x:

x (6x² - 3x - 45)

From here, we can see that by factoring out a 3:

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Now, after completing the square and factoring:

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3 years ago
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3 years ago
For the equation --4y = 8x, what is the constant of variation?
larisa86 [58]

Answer: 1) B is correct, constant of variation is -2.

Step-by-step explanation:

1)

Direct variation states that a relationship between the two variables. we say y varies directly as x

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Given the equation:

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6 0
3 years ago
. Orlando needs to fix windows in his house. He must buy 3 feets of wood,
ira [324]

Answer:(7x3)+(4x24)=117

Step-by-step explanation:

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4 0
2 years ago
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A rectangular field has an area of 162 m² the width of this field is 9m what is the perimeter of this field
Andru [333]

Answer:

54 m

Step-by-step explanation:

Alrighty, what have we here: an area of 162 m² and a width of 9m.

So: A=162m², W=9m, let's draw this: (see the screenshot attached)

Using the formula for area (Area = width x length) we see that:

162m^{2} =9m*L

Thus: (equating to L by dividing both sides by 9m)

⇒ \frac{162m^{2} }{9m}=18m=L

Now we have all of our dimensions, we can use the formula for the perimeter to calculate it:

perimeter=2W+2L=2*9m+2*18m=18m+36m=54m

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3 0
3 years ago
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