3 years ago

Evaluate 2x - y + 4z, if x = 1, y = 2 and z = -1

Mathematics

1 answer:

lidiya [134]3 years ago

5 0

2 x 1 - 2 + 4 x -1 =

the answer is -4.

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Elimination Method: 6x - 4y = -24 and 4x + 5y = -2

nirvana33 [79]

Answer:

$(-2;-6)$

Step-by-step explanation:

First of all, let's rewrite the first one after dividing both sides by 2.

$\left \{ {{3x-2y=-12\atop {4x+5y=-2}} \right.$

Now, let's pick one you want to eliminate.

<u>Eliminating x:</u> Let's multiply the first one by 4, the second by 3, and subtract one from the other. Rest is simply solving an equation in one variable

$4I-3II : 12x-8y-12x+15y = -48 - (-6)\\7y = -42 \rightarrow y= -6$

<u>Eliminating y:</u> Let's multiply the first by 5, the second by 2, and add them together. Rest is simply solving an equation in one variable

$5I+2II: 15x -10y +8x +10y = -60 +4\\23x = -56 \rightarrow x=-2$

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3 years ago

When Alexis Ross works overtime (and hours over 40 hours a week), she is paid 1.5 times her regular hourly rate. Last week she w

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40 hours at 10.10 per hour = 404

10.10 x 1.5 = 15.15 overtime pay per hour

15.15 x 8 = 121.20

404 + 121.20 = $525.20 total

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4 years ago

Estimate 200,629 +28,542

Alinara [238K]

$200,629 \approx 201,000\\28,542 \approx 29,000\\\\ 201,000 + 29,000 = 230,000\\200,629 + 28,542 \approx 230,000$

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4 years ago

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Write the number eighteeb in another way

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Standard form - eighteen

number form - 18

expanded form - 10 + 8

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3 years ago

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Answer: 21.375 cm2

Step-by-step explanation:

Area of rectangle = length x width = 3.5 x 4.4 = 15.75 cm2

Area of triangle = 1/2 x base x height = 1/2 x 2.5 x 4.5 = 5.625 cm2

Add rectangle and triangle area = 21.375 cm2

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3 years ago

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