Graph the function f.

Solve the matrix equation for a, b, c, and d. [1 2] [a b] [6 5][3 4] [c d]= [19 8]

Anit [1.1K]

Answer:

The answer is " $\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}$ ".

Step-by-step explanation:

$\bold{\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]}$

Solve the L.H.S part:

$\left[\begin{array}{cc}1&2\\3&4\end{array}\right] \left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\\\\\\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]$

After calculating the L.H.S part compare the value with R.H.S:

$\left[\begin{array}{cc}a+2c&b+2d\\3a+4c&3b+4d\end{array}\right]= \left[\begin{array}{cc}6&5\\ 19&8\end{array}\right]} \\\\$

$\to a+2c =6....(i)\\\\\to b+2d =5....(ii)\\\\\to 3a+4c =19....(iii)\\\\\to 3b+4d = 8 ....(iv)\\\\$

In equation (i) multiply by 3 and subtract by equation (iii):

$\to 3a+6c=18\\\to 3a+4c=19\\\\\text{subtract}... \\\\\to 2c = -1\\\\\to c= - \frac{1}{2}$

put the value of c in equation (i):

$\to a+ 2 (- \frac{1}{2})=6\\\\\to a- 2 \times \frac{1}{2}=6\\\\\to a- 1=6\\\\\to a =6 +1\\\\\to a = 7\\$

In equation (ii) multiply by 3 then subtract by equation (iv):

$\to 3b+6d=15\\\to 3b+4d=8\\\\\text{subtract...}\\\\\to 2d = 7\\\\\to d= \frac{7}{2}\\$

put the value of d in equation (iv):

$\to 3b+4 (\frac{7}{2})=8\\\\\to 3b+4 \times \frac{7}{2}=8\\\\\to 3b+14=8\\\\\to 3b =8-14\\\\\to 3b = -6\\\\\to b= \frac{-6}{3}\\\\\to b= -2$

The final answer is " $\bold{\left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}7&-2\\ -\frac{1}{2}&\frac{7}{2}\end{array}\right]}$ ".

4 0

3 years ago

Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that

masha68 [24]

Answer:

This procedure does not result in a binomial distribution because in each trial there are more than two possible outcomes, that is, this problem cannot be simplified as a yes or no question.

Step-by-step explanation:

For the binomial probability distribution being satisfied, two things are necessary:

1) The answer can only be two outcomes, two possibilities, for example, yes/no questions.

2) The probability of a success(an answer) on each trial must be the same. That is, if we are going to survey 100 people if they are Buffalo Bills fans, they will answer yes or no, and each of those 100 people will have the same probability of being a Buffalo Bills fans.

In this problem, we have that:

Surveying 20 college students and recording their favorite TV show.

There is infinite possibilities for each answer. One can answer Narcos, other Monday Night Football, other Sportscentre, and so it goes.

So this procedure does not result in a binomial distribution because in each trial there are more than two possible answers, that is, this problem cannot be simplified as a yes or no question.

If for example, we asked the 20 students if Monday Night Football was their favorite show, then they could answer only yes or no, so it would be a binomial procedure.

3 0

3 years ago

Coco needs 150mg of a medication that comes in tablets labelled 100mg each. How many tablets will you give her?

shtirl [24]

Answer:

1.5

Step-by-step explanation:

If 1 tablet is 100mg, and you need 150mg, we set up this equation:

Let x be the number of tablets Coco needs.

x = 150/100

x = 1.5

Therefore, you need 1.5 tablets for the medication.

7 0

2 years ago

Write an equation for the line that passes through (1, -1) and (0, -4).

yanalaym [24]

Answer:

hope you will understand my handwriting.. and if it was helpful then plz mark me as brainliest.

8 0

3 years ago

Single choice question

posledela

Answer:

D

Step-by-step explanation:

Because the discount price is the whole equation 24(1-x),

the original price is 24 technically, and the percent of discount has been given as x...

3 0

2 years ago

Graph the function f.​

Graph the function f.