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IrinaK [193]
2 years ago
15

The height of water shooting my fountain is modeled by the function f(x)= -4x^2 +24x -29 where x the distance from the spout in

feet. Complete the square to determine the maximum height of the path of the water.
Mathematics
1 answer:
Doss [256]2 years ago
7 0

By the use of the completing the square method, the maximum height is 3 ±√29/4 + 9 m.

<h3>What is the maximum height of the water?</h3>

The maximum height has been modeled by the use of the equation f(x)= -4x^2 +24x -29. Now we know that f(x)= h so we can write;

h = -4x^2 +24x -29

Now we have;

0 = -4x^2 +24x -29

-4x^2 +24x -29= 0

x^2 - 6x = -29/4

(x - 3)^2 = -29/4 + 3^2

(x - 3)^2 =  -29/4 + 9

x = 3 ±√29/4 + 9 m

Learn more about completing the square:brainly.com/question/4822356

#SPJ1

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Ulleksa [173]
The answer : x= one half
6 0
3 years ago
What is the solution of the equation 1.6m - 4.8 = -1.6m
Flauer [41]
Solve for m:
1.6 m - 4.8 = -1.6 m

Add 1.6 m to both sides:
1.6 m + 1.6 m - 4.8 = 1.6 m - 1.6 m

1.6 m - 1.6 m = 0:
1.6 m + 1.6 m - 4.8 = 0

1.6 m + 1.6 m = 3.2 m:
3.2 m - 4.8 = 0

Add 4.8 to both sides:
3.2 m + (-4.8 + 4.8) = 4.8

4.8 - 4.8 = 0:
3.2 m = 4.8

Divide both sides of 3.2 m = 4.8 by 3.2:
(3.2 m)/3.2 = 4.8/3.2

3.2/3.2 = 1:
m = 4.8/3.2

4.8/3.2 ≈ 1.5:
Answer:  m ≈ 1.5
6 0
4 years ago
(2x - (-5)) - (7x – 4)<br>please help!!!​
TEA [102]

the answer is -5x + 9. subtract liketerms.

Explaination:

2x - 7x = -5x

-(-5) is positive 5

5 - (-4) = 9

-5x + 9

8 0
4 years ago
GEOMETRY HELP!!
Vlada [557]

Answer:

0

Step-by-step explanation:

To find the coordinate of the midpoint of segment QB, first, find the distance from Q to B.

QB = |4 - 8| = |-4| = 4

The coordinate of the midpoint of QB would be at ½ the distance of QB (½*4 = 2).

Therefore, coordinate of the midpoint of QB = the coordinate of Q + 2 = 4 + 2 = 6

OR

Coordinate of B - 2 = 8 - 2 = 6

Coordinate of the midpoint of QB = 6

Coordinate of W = -8

Coordinate of A = 0

distance from W to A (WA) = |-8 - 0| = |-8| = 8

The coordinate of the midpoint of WA would be at ½ the distance of WA = ½*8 = 4.

Therefore, coordinate of the midpoint of WA = the coordinate of W + 4 = -8 + 4 = -4

Or

Coordinate of A - 4 = 0 - 4 = -4

Coordinate of the midpoint of WA = -4

Now, let's find the midpoint between the two new coordinates we have found, which are -4 and 4

Distance of the segment formed by coordinate -4 and 4 = |-4 - 4| = |-8| = 8

Midpoint = ½*8 = 4

Coordinate of the midpoint = -4 + 4 = 0

Or

4 - 4 = 0

5 0
4 years ago
Solve equation. Check solution. Round the solutions to the nearest hundredth if necessary
JulsSmile [24]
B + 4b = 8

You have to combine the like terms and then divide both sides by the coefficient to isolate the variable b. 

<em>b + 4b = 8
</em>5b = 8
(5b / 5) = 8 / 5
b = 1.6

Since it says to round to the nearest hundredth, I would just put a zero right after the tenths place. 

b = 1.60
3 0
3 years ago
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