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mariarad [96]
2 years ago
11

Is (5,2) a solution to this system? x+4y=13 x-y=3 *

Mathematics
2 answers:
kompoz [17]2 years ago
8 0

Answer:

yes

Step-by-step explanation:

kirza4 [7]2 years ago
5 0

Answer:

Yes.

Step-by-step explanation:

x + 4y = 13

 x - y = 3              Subtracting:

0 + 4y - (-y) = 13 - 3

5y = 10

y = 2.

Plug y = 2 into the second equation:

x - 2 = 3

x = 5.

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RoseWind [281]
Answer:
1. 1/4
2. 5/6
3. 87/40
4. 2/11
5. 49/54
6. 3/8
7. 9/2
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10. 25/12
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3 years ago
Read 2 more answers
Evaluate the expression when m = -8.6 and n = -2.7. <br> -7n+4m
Sunny_sXe [5.5K]

Answer:

-15.5

Step-by-step explanation:

-7(-2.7)+4(-8.6)=-15.5

18.9-34.4=-15.5

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2 years ago
Zoey is 362 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer
xxMikexx [17]

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Step-by-step explanation:

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3 0
3 years ago
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A company's profit C (in thousands of dollars) can be modeled by the polynomial function C = - 5x ^ 3 + 6x ^ 2 + 15x , where x i
steposvetlana [31]

Answer:

849 items.

Step-by-step explanation:

Given that the profit C (in thousands of dollars) for x thousands of items related as

C = - 5x ^ 3 + 6x ^ 2 + 15x \\\\\Rightarrow -5x^3+6x^2+15x -C=0\cdots(i)

As the profit is $14,000 for producing 2000 items, so

C= 14 thousand dollars and

x= 2 thousand items.

Putting C= 14 in the equation ( we have),

-5x^3+6x^2+15x -14=0\cdots(ii)

Now, x=2 is one of the solutions to the equation (ii), so (x-2) is a factor of the equation (ii), we have

(x-2)(-5x^2-4x+7)=0 \\\\\Rightarrow x-2=2 \; or \; -5x^2-4x+7=0

We have the given solution for x-2=0, so sloving -5x^2-4x+7=0 for other solutions.

-5x^2-4x+7=0 \\\\\Rightarrow x= \frac {-(-4)\pm \sqrt {(-4)^2-4\times (-5)7}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm \sqrt {156}}{2\times (-5)} \\\\\Rightarrow x= \frac {4\pm 12.49}{2\times (-5)} \\\\\Rightarrow x = \frac {4+ 12.49}{2\times (-5)}, \frac {4- 12.49}{2\times (-5)} \\\\\Rightarrow x = -1.649, 0.849

As the number of items cant be negative, so x= 0.849 thousand is the other number of items.

Hence, the other number of items for the same profit is 849 items.

4 0
2 years ago
A furniture company sells a desk for $1,435. It cost the company $817 to make the desk. Last month, 253 desks were sold. What is
soldier1979 [14.2K]

Answer:

Net profit= $156,354

Step-by-step explanation:

Giving the following information:

A furniture company sells a desk for $1,435. It cost the company $817 to make the desk. Last month, 253 desks were sold.

<u>To calculate the net profit, we need to use the following formula:</u>

Net profit= number of units sold*(selling price - unitary cost)

Net profit= 253*(1,435 - 817)

Net profit= $156,354

8 0
2 years ago
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