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satela [25.4K]
3 years ago
8

What is the equation for g(x)=

Mathematics
1 answer:
hammer [34]3 years ago
6 0

Answer:

g(x) = -(x + 3)^2  - 1

Step-by-step explanation:

g(x) has a peak, and goes down on both sides, it needs a negative sign.  From the vertex, when x increases by 1, y decreases by 1, and when x increases by another 1, y decreases by 3.  a = -1.  The function is 3 units to the left and 1 unit down.  That will make h = -3 and k = -1 to the function g(x) = a(x - h)^2 + k.

Plug the values in to get the answer.

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stiks02 [169]

Any 3 digit number can be expressed in the form of:

(a*100)+(b*10)+(c*1)

Where a, b, c represent any natural number from 0 to 9.

We are told the hundreds number (this means a*100 in the expression above) is equal to the value of 40 tens, 40 tens is 400. Then, we know the digit in the tens is greater then 6, this means b>6 in the expression above.

So, there are multiple numbers the room number could be, namely:

400+(b*10)+(c*1)\\

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8 0
2 years ago
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2 years ago
Which function has a vertex at the origin?
Wewaii [24]

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f(x) = –x2

Step-by-step explanation:

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6 0
2 years ago
The total height of an office building b and the granite statue that stands on top of it g is 326.6 feet. The difference in heig
Zepler [3.9K]

Answer: The height of building is 311 feet and the height of statue is 15.6 feet.


Step-by-step explanation:

Let the height of the building be 'b' and the height of the statue be 'g'.

Then according to the question, we get the following equation

b+g=326.6.......(1)\\b-g=295.4............(2)

Now, add both the equations, we get

2b=622\\\Rightarrow\ b=311

Substitute the value of b in equation (2), we get

311-g=295.4\\\Rightarrow\ g=311-295.4\\\Rightarrow\ g=15.6

Hence, the height of building = 311 feet and the height of statue =15.6 feet.


7 0
2 years ago
75% of a university’s freshman class are majoring in engineering. if 3000 students in the freshmen class are engineering majors,
elixir [45]

Answer:

4000

Step-by-step explanation:

75% of 4000, is 3000. Hope this helps! :)

8 0
3 years ago
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