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3 years ago

What is the inverse function of y=x^2-7

1 answer:

3 0

With inverse functions you just swap 'x' and 'y' and solve for 'y'.

$\sf y=x^2-7$

Swap 'x' and 'y':

$\sf x=y^2-7$

Add 7 to both sides:

$\sf x+7=y^2$

Take the square root of both sides:

$\sf y=\boxed{\sf\pm\sqrt{x+7}}$

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What is the solution to the following question

Anastaziya [24]

Answer:

Step-by-step explanation:

2(x + 1) = 3(5 - x) + 2

Distribute,

2(x + 1) = 3(5 - x) + 2

2x + 2 = 3(5 - x) + 2

Rearrange terms,

2x + 2 = 3(5 - x) + 2

2x + 2 = 3(-x + 5) + 2

Distribute,

2x + 2 = 3(-x + 5) + 2

2x + 2 = -3x + 15 + 2

Add the numbers,

2x + 2 = -3x + 15 + 2

2x + 2 = -3x + 17

Subtract 2 from both sides,

2x + 2 = -3x + 17

2x + 2 - 2 = -3x + 17 - 2

2x = -3x + 17 - 2

2x = -3x + 15

Add 3x to both sides,

2x = -3x + 15

2x + 3x = -3x + 3x + 15

5x = -3x + 3x + 15

5x = 15

Divide both sides by the same factor (15),

5x = 15

5x/5 = 15/5

x = 15/5

x = 3

Hence, the answer is 3.

4 0

2 years ago

Please help with a Step by step!!! Will mark Brainliest

Dvinal [7]

See the attached picture. You'll find a tree with four branches at level 1 (each of the four sectors of the spinner). Each of these branches is divided in four sub-branches: the possible results of tossing two coins (HH, HT, TH, TT).

So, there are 16 possible outcomes (numbered below each leaf).

If you want to roll an odd number, you have to take branch 1 or 3 at first level.

Then, for each of those, you have to toss exactly one head, so you have to take HT or TH.

The good outcomes are thus 2, 3, 10 and 11, leading to a probability of 4/16=1/4=25%.

3 0

3 years ago

At a pressure 41 kPa, the gas in a cylinder has a volume of 16 liters. Assuming temperature remains the same, if the volume of t

DiKsa [7]

If temperature (T) and amount of gas (n) remain constant, but pressure (P) and volume (V) change, then the ideal gas law: PV = nRT becomes
P1V1 = P2V2 --> (41)(16) = P2 (4)
--> P2 (4) = 656
P2 = 656/4 = 164 kPa

6 0

4 years ago

What can you conclude about the signs of two integers whos product i a positive and negative

KengaRu [80]

If two integers product is:

Positive: then the integers were both negative or both positive (same sign)
Negative: then the integers consisted of one negative and one positive (opposite signs)

7 0

3 years ago

Two bags with 3 oranges in each bag is the same amount as 3 bags with 2 oranges in each bag. Which property of multiplication do

kodGreya [7K]

Answer:

Commutative Property

Step-by-step explanation:

The property of multiplication that is being demonstrated is known as Commutative Property. This property basically shows that when multiplying two numbers the actual order in which they are multiplied does not matter and does not affect the result at all. For example, the in this scenario to get the total number of oranges we have to multiply the number of bags by the number of oranges in each bag, but whatever way we do this they equal the same

2 bags * 3 oranges per bag = 6 oranges

3 bags * 2 oranges per bag = 6 oranges

Therefore,

2 * 3 = 3 * 2

7 0

3 years ago