Identify the augmented matrix that represents this liner system <br> 2x-3y=4 <br> 5x+7y=39

A student’s work to simplify and combine radicals is shown below. Select the statement which best applies to the sample mathemat

jeka94

Your answer is incorrect. You forgot to get the square root of 25 and 4. Answer should be 16√2

we can only subtract radicals that are the same. At first glance, 4√50 - 2√8 are not the same, so they are not likely to be subtracted. However, each radical can still be simplified.

4 √50 = 4 √25 * 2 = 4 * 5 √2 = 20 √2
2 √8 = 2 √4 * 2 = 2 * 2 √2 = 4 √2

Now that the radicals are the same. then you can subtract the numbers.

20 √2 - 4 √2 = 16√2

4 0

2 years ago

Evaluate the integral of the quotient of the cosine of x and the square root of the quantity 1 plus sine x, dx.

VMariaS [17]

Answer:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.

Step-by-step explanation:

In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.

Let u = 1 + sin(x).

This means du/dx = cos(x). This implies dx = du/cos(x).

Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.

∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))

= ∫(u^(-1/2) * du). Integrating:

(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.

Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!

4 0

2 years ago

Read 2 more answers

A bag contains 42 cups of dog food, your dog eats 2 and 1/3 cups a day, how many days does the dog food last?

Marina86 [1]

You keep adding 2 and 1/3 to get your answer

8 0

2 years ago

Can anybody help with this?

Ainat [17]

Answer:

a. 3

b. [5,6]

c. $Median=\frac{n}{2}$

d.Game theory to predict future outcomes based on past results.

Step-by-step explanation:

a. Median is defined as the middlemost data point in a data set of data points arranged in a ranking order.

-Arranging our data points in Ranking order:

0,0,1,1,2,2,3,5,5,5,6,8,8

-Our set has 13 entries. The 7th term is the median Value.

#Hence, the median value of our data set is 3

b. Increasing the median value by 2. And let x and y be the two new scores

-From a above, median is 3:

$M_n=M_{old}+2=3+2\\\\=5$

-The new median value is 5. Adding two data points, makes the 8Th term the median value.

-Given that values of 5 was originally the 8th term, For the median value to be 5,both x and y have to have a value of 5, or one must be a 5 and the next a higher value:

-Hence, [5,6], 5,5] are both possible pairs of x and y

c. From the definition of median in a above,

#If the data points are an odd number of entries, then the median value is (n/2)+1, hence a whole number.

$Median=\frac{n}{2}+1$

#If the data points are an odd number of entries, then the median value is (n/2), hence a decimal number e.g 2.5:

$Median=\frac{n}{2}$

d. Using game theory, real-world scenarios for such situations asruns in baseball games can be predicted from past outcomes.

-As such, we can predict that the next two games are likely to be in the range of the first 13 scores.

5 0

2 years ago

A beverage company operates two factories. Their outputs are represented by these expressions, where b is the number of bottles

svet-max [94.6K]

Answer:

C 2b3 + b2 - 2b - 380

Step-by-step explanation:

Given:

Factory A: 2b^3 – 3b^2 + b - 120

Factory B: 4b^2 – 3b – 260

The company's total output = factory A + factory B

= (2b^3 – 3b^2 + b - 120) + (4b^2 – 3b – 260)

= 2b^3 – 3b^2 + b - 120 + 4b^2 – 3b – 260

Collect like terms

= 2b^3 – 3b^2 + 4b^2 – 3b + b - 120 - 260

= 2b^3 + b^2 - 2b - 380

C. 2b^3 + b^2 - 2b - 380

Option C is the correct answer

5 0

3 years ago

Read 2 more answers

Identify the augmented matrix that represents this liner system 2x-3y=4 5x+7y=39