Can someone please Help me?

Mathematics

1 answer:

Mila [183]3 years ago

5 0

9514 1404 393

Answer:

see below

Step-by-step explanation:

It is easiest to compare the equations when they are written in the same form.

The first set can be written in slope-intercept form.

y = 2x +7

y = 2x +7 . . . . add 2x

These equations are identical, so have infinitely many solutions.

The second set can be written in standard form.

y +4x = -5

y +4x = -10

These equations differ only in their constant, so have no solutions.

The third set is already written in slope-intercept form. The equations have different slopes, so have exactly one solution.

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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

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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 76

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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

Ann is mailing packages. Each small package costs her $2.10 to send. Each large package costs her $3.30. How much will it cost h

Liula [17]

Answer:

$35.76

Step-by-step explanation:

12.60

23.10

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35.76

4 0