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3 years ago

Where a is determined by the conditions x2 + y2 ≤ 1 and x + y ≥ 1?

Mathematics

1 answer:

strojnjashka [21]3 years ago

3 0

See, pls, the attached picture, the area determined by the conditions marked by yellow lines.

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2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

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2 years ago

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The cost of manufacturing lawn mowers is $12,320 in overhead costs and $396 per lawn mower in production costs. Marketing studie

ANEK [815]

Hello, your cost function will be 12,320+(x*396). Your revenue function will be (452x) and the profit function will be (452x)-12,320+(x*396). I hope this helps, have a good day.

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3 years ago

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Whats the value of x? ill give brainliest

NemiM [27]

Answer:

150°

Step-by-step explanation:

180-30=150...............

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Tiffinay plans to use 275 dollars. She wants to buy 3 pants for 42 each and 5 shirts for 27 dollars each she will pay taxs it wi

Zielflug [23.3K]

Answer:

$7.50

Step-by-step explanation:

$42 × 3 = $126

$27 × 5 = $135

$126 + $135 = $261

$275 - $261 = $14

$14 - $6.50 = $7.50

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3 years ago

Help I need this done ASAP anyone know how to solve this

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Equation~ 5b + (2b - 4) + (3b -6)= 180.

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