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Inessa05 [86]
3 years ago
5

Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4.

Mathematics
1 answer:
Gwar [14]3 years ago
8 0

Answer:

5

Step-by-step explanation:

You divide the change in the output value by the change in the input value.

  Input: 0 |  4

Output: 1  |  21

20/4= 5

You might be interested in
1/4 divides by 5/13=?
katrin2010 [14]
1/4 dividend by 5/13 is the same as
1/4 multiplied by 13/5 it’s inverse
1 x13 / 4x 5 = 13/20
8 0
3 years ago
A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be r
antoniya [11.8K]
The function is h(t) = -16t^2 + 80t + 224, and according to the description of the function in the problem statement, we have the following:

at t=0 after being thrown (that is, at initial time), the height of the ball is calculated by h(0) as follows:

h(0) = -16(0)^2 + 80(0) + 224=0+0+224=224 (ft), which is the initial height, as expected.


At t=1 (sec), the height would be  h(1) = -16(1)^2 + 80(1) + 224=-16+80+224=288. 

etc.


The path is parabolic, as we know by seeing that the function is a quadratic polynomial function. This function has been given in factored form as well. From that we can see that the zeros of the function are t=7 and t=-2.

This means that at t=7 sec, the height h is 0, which means that the ball has hit the ground. t=-2 has no significance in the context of our problem so we just neglect it.


Answer: B) 7 sec



6 0
3 years ago
Read 2 more answers
1. The sum of first n terms of an arithmetic sequence is 3n²+4n
valentina_108 [34]

Answer:

<h3>           a.  a₁=7,     b.  a_n=7n+1,    c.  a₂₀=141</h3>

Step-by-step explanation:

a.

 a_1=S_1=3\cdot1^2+4\cdot1=3+4=7

b.

   a_1+a_2=S_2\\\\a_1+a_1+d=3\cdot2^2+4\cdot2\\\\7+7+d=3\cdot4+8\\\\14+d=12+8\\\\d=6\\\\\\a_n=a_1+d(n-1)\\\\a_n=7+6(n-1)\\\\a_n=7+6n-6\\\\\underline{a_n=7n+1}

c.

 a_{20}=7\cdot20+1=141

5 0
2 years ago
PLEASEEEEEE HELP ME WITH THIS ONE ASAP PLEASE AND THANK YOU
Artemon [7]

Answer:

x=9 and z=83

Step-by-step explanation:

First you subtract 97 from 180 because that gives you z because 180 is a flat angle and 83 plus 97 gives 180. For x the opposite angle is also 97 so you set the equation 5x + 52 = 180 and you solve for x to get the x value. Hope this helps :)

6 0
3 years ago
What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?
bonufazy [111]

The <em><u>correct answer</u></em> is:

Any real number for x except 5, and any real number for y.

Explanation:

A function is a relation in which each element of the domain, or x-value, is mapped to one element of the range, or y-value.  This means that no x can be mapped to more than one y, so if we have the same number used twice for x, we do not have a function.

This means that 5 cannot be used for x in the other ordered pair.

Since there is no restriction on y in order to be a function, y can be any real number.

8 0
2 years ago
Read 2 more answers
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