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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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Solve the<br> equation:<br> 18 + x = 1
qwelly [4]

Answer:

x=-17

Step-by-step explanation:

Subtract 18 on both sides

18-18+x=1-18

x=-17

Hope this helps :D

Please mark brainliest

5 0
3 years ago
Read 2 more answers
15 points help! Select the correct answer from the drop-down menu.
Leokris [45]

Answer:The value of m for the given equation is, 35

Step-by-step explanation:

Given an equation:  https://tex.z-dn.net/?f=x%5E%7B3m%7D%3D(x%5E%7B65%7D)*(x%5E%7B40%7D)

Use the above property on  RHS in equation [1];

Since the base are same i.e, x ; we can add the exponents.

or

Using:  , then a=b.

Therefore, 3m=105.

Divide 3 on both sides of an equation:

Simplify:

m=35

Therefore, the valur of m is, 35.

6 0
1 year ago
1/3 cup of flour is used to make 5 dinner rolls.
RoseWind [281]

we know that

\frac{1}{3} cup of flour is used to make 5 dinner rolls.

Part a) How much flour is needed to make one dinner roll?

by using proportion

\frac{\frac{1}{3}}{5}  =\frac{x}{1} \\ \\ x=\frac{\frac{1}{3}}{5}\\ \\ x=\frac{1}{15}

therefore

the answer Part a) is

To make one dinner roll is needed \frac{1}{15} cup of flour

Part b) How many cups of flour are needed to make 3 dozen dinner rolls?

Multiply the value obtained in part a) by 36

so

\frac{1}{15} *36=\frac{36}{15} \\ \\ =\frac{12}{5}

\frac{12}{5} =2\frac{2}{5}

therefore

the answer Part b) is

To make 3 dozen dinner rolls are needed 2\frac{2}{5} cup of flour

Part c) How many rolls can you make with 5 2/3 cups of flour?

5\frac{2}{3} =\frac{17}{3}

by using proportion

\frac{\frac{1}{3}}{5}  =\frac{\frac{17}{3}}{x} \\ \\ \frac{x}{3} =\frac{85}{3} \\ \\ x=85

therefore

the answer part c) is

85 rolls

6 0
2 years ago
Read 2 more answers
Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$43 thousand less than twice that of an
natka813 [3]

Answer:

A person who holds a master's degree would earn an average $63,000

A person who holds a bachelor's only would earn an average $53,000

Step-by-step explanation:

We will need to construct equations from the sentences.

Firstly, let the yearly average for a master's degree holder be m and that of bachelor's be b.

Now, we know that someone with a master's earn 43000 less than twice what someone with bachelors earn.

Mathematically,

m = 2b - 43,000

Combined, they have an average salary of 116,000

Mathematically,

m + b = 116,000

Now we have 2 equations to solve simultaneously.

m = 2b - 43,000 ......(i)

m + b = 116,000 .......(ii)

We can sub I into ii

2b - 43,000 + b = 116,000

2b+b = 116,000 + 43,000

3b = 159,000

b = 159,000/3 = 53,000

m = 2b - 43,000

m = 2(53,000) - 43,000 = 63,000

6 0
3 years ago
Jeanine paid an annual premium of $1,200 in total liability coverage for her car, including up to $400,000 in bodily injury cove
Vinil7 [7]

The answer is B- Yes, the cost of the annual premium for 12 years was less than the accident claims.

3 0
3 years ago
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