PLEASEE ANSWER ASAP PLEASE CAN SOMEONE ANSWER QUESTION A AND B ASAPP 50 POINTTSS!!

Find the missing factor 8^3=(-2x)(A)

bagirrra123 [75]

-256.

how? 8 times 8 times 8 is 512.

512/2 is 256. But two negatives make a positive. So, it's -256.

7 0

3 years ago

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A = ???? 4 −2

irinina [24]

Answer:

1. The matrix A isn't the inverse of matrix B.

2. |B|=12, |A|=12

Step-by-step explanation:

1. We want to know if matrix A is the inverse of matrix B, this means that if you do the product between B and A you have to obtain the identity matrix.

We have:

$A=\left[\begin{array}{cc}4&-2\\-1&3\end{array}\right]$

and

$B=\left[\begin{array}{cc}3&2\\1&4\end{array}\right]$

A and B are 2×2 matrices (2 rows and 2 columns), if you multiply them you have to obtain a 2×2 matrix.

Then if A is the inverse of B:

$B.A=I$

Where,

$I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

Observation:

If you have two matrices:

$A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\and\\B=\left[\begin{array}{cc}e&f\\g&h\end{array}\right]\\\\\\A.B=\left[\begin{array}{cc}(a.e+b.g)&(a.f+b.h)\\(c.e+d.g)&(c.f+d.h)\end{array}\right]$

Now:

$B.A=\left[\begin{array}{cc}3&2\\1&4\end{array}\right].\left[\begin{array}{cc}4&-2\\-1&3\end{array}\right]\\\\\\B.A=\left[\begin{array}{cc}4.3+(-2).1&4.2+(-2).4\\(-1).3+3.1&(-1).2+3.4\end{array}\right]\\\\\\B.A=\left[\begin{array}{cc}12-2&8-8\\-3+3&-2+12\end{array}\right]\\\\\\B.A=\left[\begin{array}{cc}10&0\\0&10\end{array}\right]$

$B.A=\left[\begin{array}{cc}10&0\\0&10\end{array}\right]\neq \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=I\\\\\\B.A\neq I$

Then, the matrix A isn't the inverse of matrix B.

2. If you have a matrix A:

$A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

The determinant of the matrix is:

$|A|=ad-bc$

Then the determinant of B is:

$B=\left[\begin{array}{cc}3&2\\1&4\end{array}\right]$

$a=3, b=2, c=1, d=4$

$|B|=3.4-2.1\\|B|=12-2=10$

The determinant of A is:

$A=\left[\begin{array}{cc}4&-2\\-1&3\end{array}\right]$

$a=4, b=-2, c=-1, d=3$

$|A|=4.3-(-2).(-1)\\|B|=12-2=10$

6 0

4 years ago

A company is deciding whether or not to hire a new worker. The company must pay the worker hourly and cover a daily cost for ins

Alekssandra [29.7K]

The answer is 25; it represents the hourly wage for the worker

 y = 8x + 25

x is hours
y depends on x hours so y-intercept represent the hourly wage.

The y-intercept is y when x = 0:
y = 8x + 25
x = 0
____
y = 8 * 0 + 25
y = 0 + 25
y = 25

3 0

3 years ago

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1.Match the graph to the number of solutions. Choose: -One solution -infinite solutions -two solutions -three solutions no solut

Aleks [24]

Hello :
look : x-intercept
f(x) = 0 has :
1) one solution
2) two solutions
3) no solutions

3 0

3 years ago

Each table in the cafeteria can seat 10 students.how many tables are needed to seat 40 students

Vitek1552 [10]

Hi there!

To solve this problem, we need to divide the total amount of tables by the amount of students:

40 / 10 = 4

So, we need 4 tables to seat 40 students.

Hope this helps!

3 0

4 years ago

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