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BabaBlast [244]
3 years ago
15

What is the product of 2x + y and 5x – y + 3? x2 + xy + x + y2 + y

Mathematics
2 answers:
bekas [8.4K]3 years ago
4 0

Answer:

The correct answer is 10x² + 3xy + 6x - y² + 3y

Step-by-step explanation:

It is given an expression (2x + y)(5x - y + 3)

<u>To find the product </u>

(2x + y)(5x - y + 3) = 2x * 5x  - 2x*y + 2x*3 + y*5x -y² + 3y

 = 10x² - 2xy + 6x + 5xy - y² + 3y

 = 10x² + 3xy + 6x - y² + 3y

Therefore the correct answer is  

10x² + 3xy + 6x - y² + 3y

miskamm [114]3 years ago
3 0

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

Step-by-step explanation:

You need to remember the Product of powers property:

(a^m)(a^n)=a^{(m+n)}

Then, knowing this property, now you have to apply the Distributive property. So:

(2x+y)(5x-y+3)=\\\\=(2x)(5x)-(2x)(y)+(2x)(3)+(y)(5x)-(y)(y)+(y)(3)\\\\=10x^2-2xy+6x+5xy-y^2+3y

Finally, to simplify this expression, you need to add the like terms.

Therefore, you get that the product is:

=10x^2+3xy+6x-y^2+3y

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Dominick borrowed $6,000 from a credit union at 9% simple interest for 30 months. What were his monthly installment payments to
Lady_Fox [76]

<em>Answer: </em>

<em>A = $7,350.00</em>

<em></em>

<em>Step-by-step explanation:</em>

<em>Equation:</em>

<em>A = P(1 + rt)</em>

<em>First, converting R percent to r a decimal</em>

<em>r = R/100 = 9%/100 = 0.09 per year.</em>

<em>Putting time into years for simplicity,</em>

<em>30 months / 12 months/year = 2.5 years.</em>

<em></em>

<em></em>

<em>Solving our equation:</em>

<em>A = 6000(1 + (0.09 × 2.5)) = 7350 </em>

<em>A = $7,350.00</em>

<em>The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 9% per year for 2.5 years (30 months) is $7,350.00.</em>

<em>* Therefor, the answer is $7,350.00.</em>

<em>* Hopefully this helps:) Mark me the brainliest:)!!!</em>

7 0
3 years ago
What’s the answer???
azamat

Answer:

C = 6.28 in.

A = 3.14 in.^2

Step-by-step explanation:

C = (pi)d

C = 3.14 * 2 in.

C = 6.28 in.

A = (pi)r^2

r = d/2 = 2 in./2 = 1 in.

A = 3.14 * (1 in.^2)

A = 3.14 in.^2

7 0
2 years ago
Read 2 more answers
The blueprint of a rectangular house is 2.5 inches by 1.5 inches. If the scale is 1:20, what is the perimeter of the actual hous
defon

Answer:

160

Step-by-step explanation:

(2.5 x 2)+(1.5 x 2) =8      (perimeter of scale)

8x20 = 160

4 0
2 years ago
How many FIVES are equal in value to £7?
OLga [1]
<span>£1 equals to 1.43 us dollars.

7 </span>× 1.43 = <span>10.01

</span>10.01 ÷ 5 = <span>2.002
</span>
2 fives are equal to <span>£7. </span>
5 0
3 years ago
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution. How many of each should be used ?
schepotkina [342]

Answer:

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

Step-by-step explanation:

Let us represent:

The number of liters of 25% acid solution = x

The number of liters of 40% acid solution = y

Our system of Equations =

x + y = 240 liters....... Equation 1

x = 240 - y

A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.

25% × x + 40% × y = 240 liters × 30%

0.25x+ 0.4y = 72...... Equation 2

We substitute 240 - y for x in Equation 2

0.25(240 - y)+ 0.4y = 72

60 - 0.25y + 0.4y = 72

Collect like terms

- 0.25y + 0.4y = 72 - 60

0.15y = 12

y = 12/0.15

y = 80 Liters

Solving for x

x = 240 - y

x = 240 liters - 80 Liters

x = 160 liters

Therefore,

The number of liters of 25% acid solution = x = 160 liters

The number of liters of 40% acid solution = y = 80 liters

5 0
2 years ago
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