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Phoenix [80]
2 years ago
11

The height of water shooting from a fountain is modeled by the function f(x) = -4x2 + 24x - 29 where x is the distance from the

spout in feet. Complete the square to determine the maximum height of the path of the water.
Mathematics
1 answer:
Softa [21]2 years ago
8 0

Step-by-step explanation:

f(x) = -4x^2+24x-29

= -4(x^2-6x)-29

= -4(x-3)^2 -4(-9) -29

= -4(x-3)^2 +36-29

= -4(x-3)^2 +7

maximum height = 7m

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How much water is needed to completely fill a mini-aquarium measuring 20 cm x 35 cm x 50 cm?
labwork [276]

volume =  l x w x h

volume = 20 x 35 x 50  = 35,000 cubic cm


 1 cubic cm = 0.001 liter

35000 x 0.001 = 35 liters of water is needed


6 0
3 years ago
Can someone help me with this with step by step explanation plssss
liberstina [14]

Answer:

m = - 16/10

= - 1.6

Step-by-step explanation:

m2 + 8m

(the - 16 here is divided into 10 m's as you can see in m2 and 8m)

So, in order to find out what 1m is, you have to <em>divide</em> - 16 by 10, which gives you - 1.6

Good luck!

5 0
2 years ago
Solve the system of equations 7x+10y=36 y=2x+9
Damm [24]

Answer:

x = -2

y = 5

Step-by-step explanation:

Given two equations

1. 7x + 10y = 36

2. y = 2x + 9

Substitute 2x + 9 for y in equation 1.

We have

7x + 10y = 36

7x + 10(2x + 9) = 36

Distribute 10 into (2x + 9)

We have

7x + 10 x 2x + 10 x 9 = 36

7x + 20x + 90 = 36

27x + 90 = 36

Subtract 90 from both sides to eliminate 90 on the left side

27x + 90 - 90 = 36 - 90

27x = -54

Divide both sides by 27 to isolate x

27x/27 = -54/27

x = -2

Now substitute -2 into either equation to get y

Using equation 2, we have

y = 2x + 9

= 2 x -2 + 9

= -4 + 9

= 5

x = -2

y = 5

Check

7(-2) + 10(5) = 36

5 0
3 years ago
Not sure how to find what x equals
Llana [10]

Answer:

Its 48 °

Since its a triangle, the total angle will be 180°

So,

x° + 42°+90°=180°(90° as one angle in triangle is 90°)

x°=180°-90°-42°

x°=48°

7 0
2 years ago
Read 2 more answers
28 + 2A = 5A + 7<br><br> Please explain thank you!
Vinvika [58]
First you need to get x on one side of the equation and to do that subtract 2a from both sides.
28 + 2a = 5a + 7
-2a -2a
28=3a+7

Then we need to get a alone by subtracting 7 on both sides.
28=3a+7
-7 -7
21=3a

Finally divide each side by 3 and you should get a = 7. Hope this helps!
3 0
2 years ago
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