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shutvik [7]
3 years ago
8

An umbrella sprinkler is positioned on a ceiling at a point whose x- coordinate is 0. Negative values of a indicate distances, i

n meters, to the left of the position of the sprinkler, and positive values indicate distances to the right. The path of water from the sprinkler can be modeled by the quadratic function
w(x) = -1/4(x^2 -12 ) where w(x) is the height of the water, in meters, at position x.

Required:
Which equivalent expressions displays the height of the ceiling as a constant or coefficient?
Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0

Answer:

-1/4x² + 3

Step-by-step explanation:

Given that:

Path of sprinkler is modeled by the quadratic function :

w(x) = -1/4(x^2 -12 )

w(x) = height of the water, in meters, at position x

The height of ceiling as a constant or Coefficient = w(x)

Expanding w(x)

-1/4(x^2 -12 )

-1/4 * x² + 1/4 * 12

-1/4x² + 3

The height of ceiling is -1/4x² + 3

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Peggy is thinking of a number such that when twice the number is added to three times one more than the number she gets the same
mars1129 [50]

Answer:

-7

Step-by-step explanation:

Lets assume the number Peggy is thinking of be "x".

Now as given, when twice the number is added to three times one more than the number. We can write it as

∴ 2x+3(x+1)--- Equation 1

Again, it is given that Peggy gets the same result as when she multiplies four times one less than the number.

∴ 4(x-1)-- equation 2

Next, we can equate both the equation 1 and 2 as it is given that result is same.

2x+3(x+1)= 4(x-1)

Let´s distribute 3 into (x+1) and 4 into (x-1)

⇒ 2x+3x+3=4x-4

⇒ 5x+3=4x-4

Subtract both side by 4x and 3

∴ x=-7

∴ Peggy was thinking of -7

4 0
2 years ago
What is 3/4 times 8/3 i need a correct
bija089 [108]
2 would be the correct answer:)

6 0
3 years ago
Read 2 more answers
The volume of a rectangular prism is 948.6 m3. The prism has a base that is 3.1 m by 5.1 m. Find the height of the prism.
saveliy_v [14]
Just divide 948.6 m^3 by 3.1 m and 5.1 m to get 60 m
6 0
3 years ago
I need help, -3x+9+4x=10 just wondering if the answer is X=1
enyata [817]

Answer:

it's correct good job :)

5 0
2 years ago
Read 2 more answers
the relationship between the relative size of an earthquake, S, and the measure of the earthquake on the Richter scale, R, is gi
omeli [17]

Answer:

Relative Size, S, is 1584.89


Step-by-step explanation:

The equation is R=log_{10}(S)

Where,

  • R is the measurement in Richter Scale
  • S is the relative size of the earthquare

<u>It is given that in Richter Scale, an earthquake measured 3.2, so R=3.2.</u>

<em>They want to know relative size, S, so we put given information in equation and solve for S:</em>

R=log_{10}(S)\\3.2=log_{10}(S)

<em>Converting to exponential form, we have:</em>

3.2=log_{10}(S)\\S=10^{3.2}\\S=1584.8932

<em>Rounding to nearest hundredth, we have:</em>

S=1584.89

8 0
3 years ago
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