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torisob [31]
3 years ago
10

How many solutions does this linear have? y= 2x+4 x + 2y = 8

Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

y = 2x + 4

in standard form is

2x - y = -4

Second equation is

x + 2y = 8

Those aren't parallel.

Answer: exactly one solution

Let's solve,

x +2(2x + 4) = 8

5x + 8 = 8

5x = 0

x = 0

y = 2x + 4 = 4

Solution is (0,4)

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What is y=-10x's constant of proportionality and how would describe a graph's constant rate of change.
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So, on a graph, we would consider that per unit, it would decrease by -10, since its a negative slope. 

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5 0
4 years ago
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Flura [38]

Answer:

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Step-by-step explanation:

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3 years ago
Increase £16870 by 3%<br> Give your answer rounded to 2 DP.
ludmilkaskok [199]

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7 0
3 years ago
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For the given statement Pn, write the statements P1, Pk, and Pk+1.
Leno4ka [110]

Answer:

P_{1} =  2

P_{k} = k(k+1)

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Step-by-step explanation:

We are given the statement,

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That is,

P_{n} as 2 + 4 + 6 + . . . + 2n = \sum_{i=1}^{n}2i

So, we have,

P_{1} = \sum_{i=1}^{1}2i = 2

P_{k} = \sum_{i=1}^{k}2i = 2 + 4 + 6 + . . . + 2k = k(k+1)

P_{k+1} = \sum_{i=1}^{k}2i = 2 + 4 + 6 + . . . + 2k + 2(k+1) = (k+1)(k+2)

Thus, we get,

P_{1} =  2

P_{k} = k(k+1)

P_{k+1} = (k+1)(k+2)

7 0
3 years ago
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In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded regi
miv72 [106K]
Let's find the area of the outer circle and the inside circle
the inside's circle area
A= π x 6²=36<span>π
the outer's
A' = </span>π x 4x²= 4<span>πx²
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</span>
3 0
3 years ago
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