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2 years ago

From the set {0, 1, 15}, use substitution to determine which value of makes the equation true.

Mathematics

1 answer:

DanielleElmas [232]2 years ago

6 0

Answer:

b = 0.

Step-by-step explanation:

The only value for b that makes the equation true is 0. So, the equation has a unique solution of b = 0.

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Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Col

natali 33 [55]

Answer:

$\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

$\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]$

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

$A^{-1}$ = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = $\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right]$

$A^{-1}$ = $\frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right]$ = $\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

4 0

3 years ago

Find the distance between (-3, 11) and (-6,4).Round to the nearest then the

Likurg_2 [28]

Answer:

d =7.6

Step-by-step explanation:

$(-3,11) =(x_1,y_1)\\(-6,4)=(x_2,y_2)\\\\\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\\\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\=\sqrt{\left(-6-\left(-3\right)\right)^2+\left(4-11\right)^2}\\= \sqrt{(-6+3)^2+(4-11)^2}\\ \\d= \sqrt{(-3)^2+(-7)^2} \\\\d = \sqrt{9+49}\\ \\d = \sqrt{58}\\\\d = 7.61577\\\\d =7.6$

3 0

3 years ago

A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fai

azamat

Answer:

Probability (Both fail) = 0.001369

Probability (None fails) =0.927369

Probability (at least one fails) = 0.072631

Step-by-step explanation:

given data

Probability (fail) P = 0.037

two alternators is independent

solution

we get here first probability that both will fail will be

Probability (Both fail) = 0.045² ................1

Probability (Both fail) = 0.001369

and

now we get probability that neither will fail

Probability (None fails) = (1-0.037)² ...............2

Probability (None fails) =0.927369

and

now we get probability that at least one fails

Probability (at least one fails) = 1 - Probability (non fails) .................3

Probability (at least one fails) = 1 - 0.927369

Probability (at least one fails) = 0.072631

3 0

3 years ago

What is the range of possible values for x?

lys-0071 [83]

The answer is x is greater than 4.0 but less than 12.0

3 0

3 years ago

Which is the best way to describe l-2l?

Kisachek [45]

Answer:

yes.

2L=4680+520

2L=5200

L=5200:2

L=2600

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers