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3 years ago

8

A store sells small notebook for $7 and large notebook for $10. If a student buys 6 nb and spends $54, how many of each size did

he buy?

1 answer:

fgiga [73]3 years ago

7 0

4 large note books and 2 small note books

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Find the solution of the given initial value problem. ty' + 6y = t2 − t + 1, y(1) = 1 6 , t > 0

gtnhenbr [62]

Answer:

Step-by-step explanation:

Given is a differential equation as

$ty' + 6y = t^2 - t + 1, y(1) = 1 6 , t > 0$

Divide this by t to get in linear form

$y'+6y/t = t-1+1/t$

This is of the form

y' +p(t) y = Q(t)

where p(t) = 1/t $e^(\int 1/tdt) = t$

So solution would be

$yt = \int t^2-t+1 dt\\= t^3/3-t^2/2+t+C$

siubstitute y(1) = 16

$16 = 16^3/3-128+1+C\\C = -1206$

4 0

3 years ago

What is the equation of the axis of symmetry?

Anit [1.1K]

Answer:

x = 1

Step-by-step explanation:

Line of symmetry: x = h,

Where h is the x-coordinate of the vertex

5 0

3 years ago

Consider the first four terms of an arithmetic sequence below.

VMariaS [17]

7, 13, 19 and 25 have a common difference: 6.
6 added to 7 gives us 13; 6 added to 13 gives us 19, and so on.

Explicit formula: a(n) = 7 + 6(n-1), where 7 is the first term and n is the counter (1, 2, 3, ...).

The first term is 7 (given). This corresponds to n=1.

The second term is a(2) = 7 + 6(2-1), or 7 + 6, or 13. This corresponds to n = 2.

and so on.

6 0

3 years ago

Make a table for the following equations<br> y = 2x + 4

nekit [7.7K]

In order to make a table, we sample some x values (whichever we want), and we compute the expression for those value. Each x value will yield a unique y value.

If you need this table to graph the function, you'll only need two points, since this is a line, and having two points you just need to connect them.

Here are some samples, feel free to make more if you need to:

$f(x)=2x+4\implies f(0)=2\cdot 0 + 4 = 4$

$f(x)=2x+4\implies f(1)=2\cdot 1 + 4 = 6$

$f(x)=2x+4\implies f(2)=2\cdot 2 + 4 = 8$

$f(x)=2x+4\implies f(3)=2\cdot 3 + 4 = 10$

$f(x)=2x+4\implies f(4)=2\cdot 4 + 4 = 12$

So, we have the following table

$\begin{array}{c|c}0&4\\1&6\\2&8\\3&10\\4&12\end{array}$

4 0

3 years ago

Simplify by dividing <br> 3/5 ÷ -4/9<br><br> 1. -27/20<br> 2. 27/20<br> 3. -12/45<br> 4. 12/45

kramer

Answer:

The answer to your question is -27/20

Step-by-step explanation:

Divide 3/5 ÷ - 4/9

Process

1.- Just multiply the numerator of the first fraction by the denominator of the second fraction.

3 x - 9 = -27

2.- Multiply the denominator of the first fraction by the numerator of the second fraction.

5 x 4 = 20

3.- Join both results

-27/20

5 0

3 years ago