What is the product of 2x + y and 5x – y + 3?

Answers

Answer 1

Answer:

Answer: The required product is $10x^2-y^2+3xy+6x+3y.$

Step-by-step explanation: We are to find the product f the following two algebraic expressions:

$E_1=2x+y,\n\nE_2=5x-y+3.$

To find the product of the above two expressions, we must multiply each term of the first expression with each term of the second expression.

The multiplication is as follows:

$M\n\n=E_1 * E_2\n\n=(2x+y)*(5x-y+3)\n\n=10x^2-2xy+6x+5xy-y^2+3y\n\n=10x^2-y^2+3xy+6x+3y.$

Thus, the required product is $10x^2-y^2+3xy+6x+3y.$

Answer 2

Answer:

Answer: $10x^2-y^2+3xy+6x+3y$

Step-by-step explanation:

Given expressions are 2x+ y and 5x -y +3

Product of 2x+y and 5x-y+3 is

$(2x+y)* (5x-y+3) = 2x* (5x-y+3) + y* (5x-y+3)$ ( by applying distributive property under multiplication over addition)

⇒ $(2x+y)* (5x-y+3) = 10x^2-2xy+6x+5xy-y^2+3y$ (again by distributive property)

⇒ $(2x+y)* (5x-y+3) = 10x^2-y^2+3xy+6x+3y$ ( by operating the like terms.)

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Help!! Math question ASAP!!!!

Answers

Hello,

Answer B

Is y=(5,t) a solution of -5x+y=-40
==>-5*5+t=-40
==>t=-40+15
==>t=-15

Now change the t to y (all is done to make you not to find the answer)
y=-15.

Simplify the expression.
(-8.6) ^0
0
-8.6
1
-1

Answers

Any number raised to power of zero is always a one.
Thus (-8.6) ^0=1

At the movie theatre, child admission is $6.10 and adult admission is $9.20 . On Thursday, three times as many adult tickets as child tickets were sold, for a total sales of $707.70 . How many child tickets were sold that day?

Answers

Answer:

21 child tickets.

Step-by-step explanation:

Let x represent number of adult tickets and y represent number of child tickets.

We have been given that on Thursday, three times as many adult tickets as child tickets were sold. We can represent this information in an equation as:

$x=3y...(1)$

We have been given that at a the movie theater, child admission is $6.10 and adult admission is $9.20.The all tickets were sold for a total of $707.70. We can represent this information in an equation as:

$9.20x+6.10y=707.70...(2)$

Upon substituting equation (1) in equation (2), we will get:

$9.20(3y)+6.10y=707.70$

$27.6y+6.10y=707.70$

$33.7y=707.70$

$(33.7y)/(33.7)=(707.70)/(33.7)$

$y=21$

Therefore, 21 child tickets were sold on Thursday.

12.57 round to the nearest tenth

Answers

You get 12.6

After the decimal starts the the tenth place. In order to round to the tenth place, we need to know the hundredth place which is the 7. If the hundredth place is 5 or greater then we round up and if it's 4 or lower then we keep the tenth place the same number as it is before.

Since the hundredth place is greater than or equal to 5, we round up the tenth place to 6. If you have any questions then leave a comment. Good luck!

12.57 rounded to the nearest tenth is 12.6 because the 5 is the tenth place and you have to look at the number to the right of that which is 7. 5 and up rounds up, so the 5 becomes 6 and the 7 disappears.

A student heats 100 g of aluminum to 60°C. He places it in 100 g of water at 20°C. Over time, what will most likely happen?a. The water's temperature will increase slightly, and the metal's temperature will decrease a lot.

b. The water's temperature will increase a lot, and the metal's temperature will decrease slightly.

c. The water's temperature will decrease slightly, and the metal's temperature will increase a lot.

d. The water's temperature will increase by about the same amount as the metal's temperature decreases.

Answers

What is relevant here is that both water and metal have the same weight - if they had a different weight, one of them would change the temperature more than the other. (the one with more weight would change less).
But in the present case:

d. The water's temperature will increase by about the same amount as the metal's temperature decreases.

Answer:

Option A

Step-by-step explanation:

Given : A student heats 100 g of aluminum to 60°C. He places it in 100 g of water at 20°C.

To find : Over time, what will most likely happen?

Solution :

We know,

Heat will flow out of the warm aluminum and into the cool water.

The final "equilibrium" temperature will be a little less than 40°C (the average of 60° and 20°), because the specific heat of the aluminum is about 8% less than the specific heat of the water.

So when some quantity of heat flows from the aluminum to the water, the temperature of the water rises a little less than the temperature of the aluminum falls.

Therefore, Option A is correct.

The water's temperature will increase slightly, and the metal's temperature will decrease a lot.

If the total area of a dartboard is 30,000 mm2 and the area of the bull's-eye is 1000 mm2, what is the probability of getting a bull's-eye?A. 6%
B. 3%
C. 33%
D. 25%