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3 years ago

13. Photography world has a portrait special. A

Mathematics

2 answers:

solong [7]3 years ago

7 0

Answer:

35x + 60y = 690

Why:

We need to correct number to represent X (which is 35) and Y (which is 60).

And 35x + 60y = 690, 690 being the total, fits what we need to answer.

All of the other options display an incorrect number for the X and Y values.

nalin [4]3 years ago

3 0

Answer:

35x + 60y = 690

Step-by-step explanation:

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What is the slope of y=45x

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Answer:

45/1

Step-by-step explanation:

45x is the rate at which the line goes up

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2 years ago

What is the quotient of 2.408 • 10^24 divided by 6.02 • 10^23

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Answer:

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Step-by-step explanation:

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3 years ago

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

Read 2 more answers

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Answer:

Essence

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago