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3 years ago

Can I get help with this? Ez points

Mathematics

1 answer:

VMariaS [17]3 years ago

6 0

9514 1404 393

Answer:

(-1, -1), (-1, 5), (2, -1)

Step-by-step explanation:

All of the blanks are filled with -1. (see attached)

_____

The attachment also shows the solutions that maximize or minimize the value of z.

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Find the sum of the geometric series given a1=2, r=−3, and n=8.

inn [45]

Answer:

Sum of the G.P is -3280

Step-by-step explanation:

Summation:

${ \bf{sum = \frac{a( {r}^{n }-1 )}{r - 1} }} \\ \\ { \tt{sum = \frac{2( { { - 3}^{8 } -1)} }{ - 3 - 1} }} \\ { \tt{ = \frac{13120}{-4} }} \\ = -3280$

3 0

3 years ago

Read 2 more answers

-3(12 - m) = -1(m - 8)

victus00 [196]

Answer:

m = 7

Step-by-step explanation:

- 3(12 - m) = - 1(m - 8)

- 36 - (- 3m) = - m - 8

- 36 + 3m = - m - 8

- 36 + 3m + m = - m + m - 8

- 36 + 4m = - 8

- 36 + 36 + 4m = - 8 + 36

4m = 28

4m ÷ 4 = 28 ÷ 4

m = 7

7 0

3 years ago

Solve these linear equations by Cramer's Rules Xj=det Bj / det A:

timurjin [86]

Answer:

(a) $x_1=-2,x_2=1$

(b) $x_1=\frac{3}{4} ,x_2=-\frac{1}{2} ,x_3=\frac{1}{4}$

Step-by-step explanation:

(a) For using Cramer's rule you need to find matrix $A$ and the matrix $B_j$ for each variable. The matrix $A$ is formed with the coefficients of the variables in the system. The first step is to accommodate the equations, one under the other, to get $A$ more easily.

$2x_1+5x_2=1\\x_1+4x_2=2$

$\therefore A=\left[\begin{array}{cc}2&5\\1&4\end{array}\right]$

To get $B_1$ , replace in the matrix A the 1st column with the results of the equations:

$B_1=\left[\begin{array}{cc}1&5\\2&4\end{array}\right]$

To get $B_2$ , replace in the matrix A the 2nd column with the results of the equations:

$B_2=\left[\begin{array}{cc}2&1\\1&2\end{array}\right]$

Apply the rule to solve $x_1$ :

$x_1=\frac{det\left(\begin{array}{cc}1&5\\2&4\end{array}\right)}{det\left(\begin{array}{cc}2&5\\1&4\end{array}\right)} =\frac{(1)(4)-(2)(5)}{(2)(4)-(1)(5)} =\frac{4-10}{8-5}=\frac{-6}{3}=-2\\x_1=-2$

In the case of B2, the determinant is going to be zero. Instead of using the rule, substitute the values of the variable $x_1$ in one of the equations and solve for $x_2$ :

$2x_1+5x_2=1\\2(-2)+5x_2=1\\-4+5x_2=1\\5x_2=1+4\\ 5x_2=5\\x_2=1$

(b) In this system, follow the same steps,ust remember $B_3$ is formed by replacing the 3rd column of A with the results of the equations:

$2x_1+x_2 =1\\x_1+2x_2+x_3=0\\x_2+2x_3=0$

$\therefore A=\left[\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right]$

$B_1=\left[\begin{array}{ccc}1&1&0\\0&2&1\\0&1&2\end{array}\right]$

$B_2=\left[\begin{array}{ccc}2&1&0\\1&0&1\\0&0&2\end{array}\right]$

$B_3=\left[\begin{array}{ccc}2&1&1\\1&2&0\\0&1&0\end{array}\right]$

$x_1=\frac{det\left(\begin{array}{ccc}1&1&0\\0&2&1\\0&1&2\end{array}\right)}{det\left(\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right)} =\frac{1(2)(2)+(0)(1)(0)+(0)(1)(1)-(1)(1)(1)-(0)(1)(2)-(0)(2)(0)}{(2)(2)(2)+(1)(1)(0)+(0)(1)(1)-(2)(1)(1)-(1)(1)(2)-(0)(2)(0)}\\ x_1=\frac{4+0+0-1-0-0}{8+0+0-2-2-0} =\frac{3}{4} \\x_1=\frac{3}{4}$

$x_2=\frac{det\left(\begin{array}{ccc}2&1&0\\1&0&1\\0&0&2\end{array}\right)}{det\left(\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right)} =\frac{(2)(0)(2)+(1)(0)(0)+(0)(1)(1)-(2)(0)(1)-(1)(1)(2)-(0)(0)(0)}{4} \\x_2=\frac{0+0+0-0-2-0}{4}=\frac{-2}{4}=-\frac{1}{2}\\x_2=-\frac{1}{2}$

$x_3=\frac{det\left(\begin{array}{ccc}2&1&1\\1&2&0\\0&1&0\end{array}\right)}{det\left(\begin{array}{ccc}2&1&0\\1&2&1\\0&1&2\end{array}\right)}=\frac{(2)(2)(0)+(1)(1)(1)+(0)(1)(0)-(2)(1)(0)-(1)(1)(0)-(0)(2)(1)}{4} \\x_3=\frac{0+1+0-0-0-0}{4}=\frac{1}{4}\\x_3=\frac{1}{4}$

6 0

3 years ago

A 90% confidence interval for the average weight (in pounds) of Americans was found to be (185, 210). The point estimate for thi

Lynna [10]

Answer:

B. 12.5

Step-by-step explanation:

We have the lowe confidence interval = 185

The upper confidence interval = 210

Mean of X = (lower confidence + upper confidence interval)/2

Mean of X = 185 + 210/2

= 197.5

The margin of error = the upper confidence interval - mean of X

= 210-197.5

= 12.5

3 0

3 years ago

Help me I got 25 missing assignments

leva [86]

Answer:

think it's the last one

Step-by-step explanation:

sorry if i'm wrong

6 0

3 years ago