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4 years ago

Evaluate the function f(x) = 3x + 5 for each of the following input values:

Mathematics

2 answers:

statuscvo [17]4 years ago

8 0

F(0)=3(0)+5
=0+5
=5

F(4)=3(4)+5
=12+5
=17

MakcuM [25]4 years ago

4 0

To find the output, we simply plug in the input values into our x-values.

For a) we will input 0 where x is. 3(0)+5= 5. So the answer for A) is 5.

For b) we will input 4 where x is. 3(4)+5= 17. So the answer for B) is 17.

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2 years ago

Read 2 more answers

What is the arc length?

Gwar [14]

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approximately 21, when rounded to nearest tenth.

Step-by-step explanation:

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3 years ago

Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.

ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

$a_n = a_1 + d(n-1)$

Plug in $a_1 = 4, \ d = 8, \ n = 10$ and you should get the following:

$a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\$

The tenth term is <u>76</u>

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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

$\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}$

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in $a_n = a_1 + d(n-1)$ which shifts everything one spot to the left.

7 0

2 years ago