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lukranit [14]
3 years ago
12

Y = 2x + 3 X Y -3 -1 2 4 5

Mathematics
2 answers:
antoniya [11.8K]3 years ago
4 0
Y = 2x + 3 \\  \\ x=-3 \\ Y = 2(-3) + 3=-6+3=-3\\  \\ x=-1 \\ Y = 2(-1) + 3=-2+3=1\\  \\ x=2 \\ Y = 2(2) + 3=4+3=7\\  \\ x=4 \\ Y = 2(4) + 3=8+3=11\\  \\ x=5 \\ Y = 2(5) + 3=10+3=13
Strike441 [17]3 years ago
3 0
Y=2x+3
for x = -3 y = 2*(-3)+3=-6+3=-3
for x = -1 y = 2*(-1)+3=-2+3=1
for x = 2 y = 2*2+3 = 4+3 = 7
for x = 4 y = 2*4+3 = 8+3 =11
for x = 5 y = 2*5+3 = 10+3 =13
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Votes received by Wayne is 112

<em><u>Solution:</u></em>

To find: votes received by Wayne

Let the vote received by Wayne be "x"

<em><u>Juan received 4 times as many votes as Wayne</u></em>

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x  ---- eqn 1

<em><u>Neal received twenty less votes than Juan</u></em>

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

Neal votes = 4x - 20 ---- eqn 2

<em><u>Kerry got half as many votes as Neal</u></em>

Kerry votes = half of neal votes

Kerry votes = \frac{4x - 20}{2}  ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112

Therefore votes received by Wayne is 112

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3 years ago
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Dmitry [639]

The product in simplest form is (x - 4)

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

\frac{8}{2x+8} \times \frac{x^2-16}{4}

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

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Substitute these in given expression

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\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4

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4.5 is a rational number, as it can be represented as 9/2. Many important numbers in mathematics, however, are irrational, and cannot be written as ratios.

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