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4 years ago

In the matrix equation below, what are the values of x and y?

Mathematics

1 answer:

Helga [31]4 years ago

5 0

Answer:

The value of x = 5 and y = 2

The correct answer is last option

Step-by-step explanation:

From the figure we can see that, subtraction of two matrices.

The resultant matrix shows the corresponding terms difference.

<u>To find the value of x </u>

1/2(x + 3) - (3*(-1)) = 7

x/2 + 3/2 +3 = 7

x/2 +3/2 = 7 - 3 = 4

x + 3 = 8

x = 8 - 3 = 5

x = 5

<u>To find the value of y </u>

8/2 -3 (y +1) = -5

4 - 3(y +1)/ = -5

3(y +1) = 4 + 5 = 9

y + 1 = 9 / 3 = 3

y = 3 - 1 = 2

Therefore the value of x = 5 and y = 2

The correct answer is last option

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Alinara [238K]

Answer:

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Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Someone answer please I would be very grateful

Reil [10]

Answer:

Part A : 9.555 . 10^38

Part B : 7.4 . 10^-3

Step-by-step explanation:

$3.9 \: . \: {10}^{33} . \: 2.45 \: . \: {10}^{5} \\ 3.9 \: . \: 2.45 \: . \: {10}^{33 + 5} \\ 9.555 \: . \: {10}^{38} \\$

$7.4 \: . \: {10}^{ - 3}mm \\ 7.4 \: . \: \frac{1}{ {10}^{3} } \\ 0.0074mm$

$7.4 \: . \: {10}^{3}mm \\ 7.4 \: . \: 1000 \\ 7400mm$

A blood cell is too small. So the more reasonable measurement is 0.0074mm.

7 0

3 years ago

How to solve 8x+y=23<br> -10x-y=-27

yuradex [85]

<h2>Hey there!</h2>

<h3>At first we have find the value of "y",</h3>

<h3>Finding the value of "y"</h3>

Here,

8x + y = 23 - 10x - y = - 27

10(8x + y) = 23 × 10 8 (- 10x - y) = - 27 × 8

80x + 10y = 230 ---> (i) - 80x - 8y = - 216 ----> (ii)

<h3>By elimination method,</h3>

<h3>Equation (i) - (ii)</h3>

(80x + 10y) - (-80x - 8y) = 230 - (-216)

=> 80x + 10y + 80x + 8y = 230 + 216

=> 10y + 8y = 446

=> 18y = 446

=> y = 446/18

=> y = 24.7

<h3>Putting the value of "y" in Equation (i)</h3>

80x + 10y = 230

=> 80x + 10 × 24.7 = 230

=> 80x + 247 = 230

=> 80x = 230 - 247

=> 80x = -17

=> x = -17/80

=> x = - 0.21

<h3>Therefore the values of "x" and "y" are</h3>

x = -0.21 and y = 24.7

<h2>Hope it helps </h2>

5 0

3 years ago

A school has 3400 students. They conduct a random sample of 124 students and find that 38 of them hate the school.

Contact [7]

Answer:

a) We need a sample size of at least 2401.

b) We need a sample size of at least 1936.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

In which

z is the zscore that has a pvalue of .

The margin of error is:

95% confidence level

So , z is the value of Z that has a pvalue of , so .

(a) you are unwilling to predict the proportion value at your school and

We use , which is when we are going to need the largest sample size.

So we need to find We need a sample size of at least 2401.

(b) you use the results from the surveyed school as a guideline.

Now the same calculation, just with . So

We need a sample size of at least 1936.

5 0

3 years ago

Enter an equation for the function. Give your answer in the form a(b)". In the event that a = 1, give your

Anna [14]

Answer:

$r(n)=14,000(0.50)^n$

Step-by-step explanation:

we know that

The equation of a exponential decay function is equal to

$r=a(1-r)^n$

where

r is the number of bacteria remaining

n is the number of hours since the antibiotic was applied

a is the initial value

r is the rate of change

we have

$a=14,000\ bacteria\\r=50\%=50/100=0.50$

substitute

$r(n)=14,000(1-0.50)^n$

$r(n)=14,000(0.50)^n$

8 0

4 years ago