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Pepsi [2]
4 years ago
12

Which ordered pair (a, b) is a solution to the given system? 2a-5b=1 3a+5b=14

Mathematics
1 answer:
irakobra [83]4 years ago
8 0
2a - 5b = 1
3a + 5b = 14

Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.

    2a - 5b = 1
   3a + 5b = 14
+___________
    5a - 0 = 15
         5a = 15
           a = 3

Next, plug 3 for a into either of the equations and solve for b.

  2a - 5b = 1
2(3) - 5b = 1
    6 - 5b = 1
       - 5b = -5
           b = 1

Lastly, check all work by plugging both values for their respective variables.

     2a - 5b = 1
2(3) - 5(1) = 1
         6 - 5 = 1  --  This is true

     3a + 5b = 14
3(3) + 5(1) = 14
         9 + 5 = 14  --  This is true

The solution to the system of equations is (3, 1).
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Answer:

20x²+180x + 405

Step-by-step explanation:

Follow PEMDAS to know what you do first

square (2x + 9) by foiling

(2x+9) (2x + 9)

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Multiply by 5

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Estimate the area under the curve f(x) = x2 + 1 from x = 0 to x = 6 by using three circumscribed (over the curve) rectangles. An
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1) split the range in three identical invervals of size [6 - 0] / 3 = 2

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     area 1 = base * height = 2 * 5 = 10

2b) second rectangle: base 2, height f(2+2) = 4^2 + 1 = 17

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2c) third rectangle: base 2 height f(4+2) = 6^2 + 1 = 37

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3 0
3 years ago
On her last credit card bill, Linda paid a variable rate of 1.8 percent on the first $200 and 1.2 percent on
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Interest paid by Linda is equal to $4.272 approximately equal to $4.27.

<u> Solution: </u>

Given that  

Rate of interest on first $200 = 1.8%

Rate of interest on any amount over $200 = 1.2%

Unpaid balance amount of Linda’s credit card bill = $256

Need to calculate interest paid by her on $256.

Unpaid balance = $256  

=$200 + 56

Amount over $200 = 56

Interest paid on first $200 = 1.8% of 200

= 0.018 x 200 = $3.6

Interest paid on amount over $200 that is $56 = 1.2% of 56

= 0.012 x 56 = $0.672

So total interest paid on $256 = 3.6 + 0.672 = $4.272.

Hence interest paid by Linda is equal to $4.272 approximately equal to $4.27.

4 0
4 years ago
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