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sweet-ann [11.9K]
3 years ago
9

Evaluate n+2x2 when n=3 and x=−2.

Mathematics
1 answer:
krok68 [10]3 years ago
7 0

Answer:

When n=3 and x=−2  the answer is 11.

Step-by-step explanation:

Given:

Let p (n,x) be the function such that

p (n,x) = n + 2x^{2}

To Find:

p (n,x) = p ( 3, -2) = ?

Solution:

p (n,x) = n + 2x^{2}

Substituting n = 3 and x = -2 we get

p (3, -2) = 3 + 2(-2)^{2}

Negative square gives positive number therefore (-2)²=4

p (3, -2) = 3 + 2\times 4

p (3, -2) = 3 + 8\\p (3, -2) = 11

When n=3 and x=−2  the answer is 11.

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4x+5y=-13;5x-2y=-8 solve elimination method <br> Step by step
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4x + 5y = -13
2(4x + 5y) = 2(-13)
8x + 10y = -26 (equation 1)

5x - 2y = -8
5(5x - 2y) = 5(-8)
25x - 10y = -40 (equation 2)

equation 1 + equation 2,
(8x + 10y) + (25x - 10y) = (-26) + (-40)
8x + 10y + 25x - 10y = -26 + -40
33x = -66
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substitute x = -2 into equation 1,
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It takes machine A x hours to manufacture a deck of cards that machine B can manufacture in y hours. If machine A operates alone
nlexa [21]

Answer:

The expression that shows how long the two machines will operate simultaneously is:

\frac{y(100x-z)}{x+y}

Step-by-step explanation:

We know that:

x: hours to manufacture a deck of cards for machine A

y: hours to manufacture a deck of cards for machine B

z: hours that machine A operates alone

The number of decks manufactured only by machine A is:

\frac{z}{x}

So, the remaining decks are given by:

100-\frac{z}{x}=\frac{100x-z}{x}

Then, the combined rate of machines A and B would be:

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The work-rate formula is:

Amount= Rate \times Time

Hence, the time that the two machines work simultaneously is:

Time=\frac{Amount}{Rate}

Time=\frac{Amount}{Rate} =\frac{\frac{100x-z}{x} }{\frac{x+y}{xy} } ={\frac{100x-z}{x} \times \frac{xy}{x+y}=\frac{y(100x-z)}{x+y}

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