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Kisachek [45]
3 years ago
15

If a is the average (arithmetic mean) of 4x and 7, b is the average of 5x and 6, and c is the average of 3x and 11, what is the

average of a, b, and c, in terms of x?
Mathematics
1 answer:
Debora [2.8K]3 years ago
7 0

Answer:

2x+4

Step-by-step explanation:

Given that a is the average (arithmetic mean) of 4x and 7, b is the average of 5x and 6, and c is the average of 3x and 11

By definition of arithmetic mean,

we have a=\frac{4x+7}{2} \\b=\frac{5x+6}{2} \\c=\frac{3x+11}{2}

Let us calculate sum of a,b,c in terms of x

a+b+c = \frac{4x+7+5x+6+3x+11}{2} \\=6x+12

Average = sum/3 = \frac{6x+12}{3} =2x+4

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The function — is used to model the height of an object projected in the air, where h(t) is the height in meters and t is the ti
MissTica

The answer choice which represents the domain and range of the function h(t) as given in the task content in which case, values are rounded to the nearest hundredth is; Domain: [0, 3.85] and Range: [0, 18.05].

<h3>What are the domain and range of the function as given in the task content?</h3>

It follows from convention that the domain of a function simply refers to the set of all possible input values for that function.

Also, the range of a function is the set of all possible output values for such function.

On this note, by observing the graph in the attached image, it follows that the Domain of the function in discuss is; [0, 3.85].

While the range is the difference between the minimum and maximum height attained and can be computed as follows;

At minimum height, t = 0; hence, h(t) = 0.

At maximum height; h'(t) = 0 where h'(t) = h'(t)=-9.74t+18.75 and hence, t = 1.92.

Hence, h(1.92) = 18.05.

The range is therefore; [0, 18.05].

Read more on domain and range;

brainly.com/question/1942755

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6 0
2 years ago
Plzz i need help with this can somebody help me?
Olin [163]

Answer:

the answer is b

Step-by-step explanation:

if u divide .14 by .2

its gonna give u .8

2 times 8 is 16 but there are two decimals so its .16

hope this helps

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Sorry we can’t help with this
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Slope is 5
Y intercept is 5

Solve:
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(Isolate Y by adding y to both sides to get it alone and adding 5 to both sides)
Y=5x+5
We know that slope (m) is w the X so in this case it is 5
And then to find the y intercept we substitute O for X.
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Step-by-step explanation:

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