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stepladder [879]
3 years ago
6

in how many ways can a student arrange 6 textbooks on a locker shelf that can hold 4 books at a time? 30 120 240 360

Mathematics
1 answer:
denis23 [38]3 years ago
4 0
On the 1st place he can put 6 textbooks, on the 2nd 5 textbooks etc...
6 · 5 · 4 · 3 = 360
Answer: D) He can arrange textbooks in 360 ways.
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1)A System of equations is shown below . What is the solution to the system of equations? 5x+2y=-15 2x-2y=-6
meriva

Answer:

x= -3 and y= 0

Step-by-step explanation:

5x+2y=-15

<u>2x-2y=-6     </u>

<u>7x        =-21</u>

x= -3

Putting value of x in equation 1  

5(-3) +2y=-15

-15+2y= -15

2y= 0

y= 0

This can be solved with the help of matrices

In matrix form the above equations can be written in the form

\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right]  \left[\begin{array}{ccc}x\\y\\\end{array}\right]  = \left[\begin{array}{ccc}-15\\-6\\\end{array}\right]

Let

\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right] = A  \left[\begin{array}{ccc}x\\y\\\end{array}\right]  = X  and  \left[\begin{array}{ccc}-15\\-6\\\end{array}\right]= B

Then AX= B

or X= A⁻¹ B

where  A⁻¹= adj A/ ║A║   where mod A≠ 0

adj A=  \left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right]

║A║= ( 5*-2- 2*2)= -10-4= -14≠0

X= A⁻¹ B

 \left[\begin{array}{ccc}x\\y\\\end{array}\right]    =- 1/14  \left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right]   \left[\begin{array}{ccc}-15\\-6\\\end{array}\right]

 \left[\begin{array}{ccc}x\\y\\\end{array}\right]    =- 1/14     \left[\begin{array}{ccc}-2*-15&+ -2*-6\\-2*-15&+ 5*-6\\\end{array}\right]

 \left[\begin{array}{ccc}x\\y\\\end{array}\right]  =- 1/14 \left[\begin{array}{ccc} 30&+12\\30&+-30\\\end{array}\right]

 \left[\begin{array}{ccc}x\\y\\\end{array}\right]  =- 1/14 \left[\begin{array}{ccc}42\\0\\\end{array}\right]

\left[\begin{array}{ccc}x\\y\\\end{array}\right]  = \left[\begin{array}{ccc}-42/14\\0/-14\\\end{array}\right]

\left[\begin{array}{ccc}x\\y\\\end{array}\right]  = \left[\begin{array}{ccc}-3\\0\\\end{array}\right]

From here x= -3 and y= 0

Solution Set = [(-3,0)]

3 0
3 years ago
Adding fractions with unlike denominators<br>​
insens350 [35]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
On the morning of the sale, the store donated 50 pairs of shoes to a homeless shelter. Then they sold 64% of their remaining inv
jekas [21]

Answer:

850.

Step-by-step explanation:

Let the number at the start be x shoes. Then:

x - 50 - 0.64(x - 50) = 288

x - 0.64x - 50 + 32 = 288

0.36x = 288 + 50 - 32

0.36x = 306

x = 306/0.36 =  850.

6 0
2 years ago
Solve<br> y=2x2-3x-1<br> y=x-3
4vir4ik [10]

Answer:

The value of x is 1 and y = -2

Step-by-step explanation:

y = 2x²- 3x - 1;

y = x - 3

2x²- 3x - 1 = x - 3

2x² - 3x - 1 - x + 3 = 0

2x² - 4x + 2 = 0

take 2 as common

2(x² - 2x + 1) = 0

x² - 2x + 1 = 0

x² - x - x + 1 = 0

x(x - 1) - 1(x - 1) = 0

(x - 1) (x - 1) = 0

x - 1 = 0 or x - 1 = 0

x = 1 or x = 1

Now,

y = x - 3

y = 1 - 3

y = - 2

Thus, The value of x is 1 and y is -2

<u>-TheUnknown</u><u>Scientist</u>

4 0
2 years ago
Mark all of the statements that are true.
Kipish [7]
The statements that are true are:

<span>a. The range for this function is the set {3}.      [range is the value of y, here the value of y is 3 for all value of x]
</span>
<span>c. The domain for this function is all real numbers.      [the domain is the value of x, as you can see, the graph span all the x axis]</span>

5 0
3 years ago
Read 2 more answers
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