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maxonik [38]
3 years ago
11

Y = -x + 3 y = 2x + 6

Mathematics
1 answer:
Andrei [34K]3 years ago
8 0

Answer:

y=4

x=-1

Step-by-step explanation:

replace y

2x+6=-x+3

3x=-3

x=-1

y=2x+6

y=2(-1)+6

y=-2+6

y=4

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What is the difference? StartFraction 2 x 5 Over x squared minus 3 x EndFraction minus StartFraction 3 x 5 Over x cubed minus 9
Fiesta28 [93]

The expression which is equivalent to the difference of the given algebraic fraction is,

\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}

<h3>What is the difference? </h3>

Difference is the mathematical operation in which the one number is subtract from another number.

To find the difference of two fraction numbers, we find the least common factor of denominator and write the all numbers as one fraction.

The given expression in the problem is,

\dfrac{2x+5}{x^2-3x}-\dfrac{3x+5}{x^3-9x}-\dfrac{x+1}{x^2-9}

Factorize the denominator of each term as,

\dfrac{2x+5}{x(x-3)}-\dfrac{3x+5}{x(x-3)(x+3)}-\dfrac{x+1}{(x-3)(x+3)}

Here, the least common factor of the denominators is x(x-3)(x+3), therefore, the expression can be written as,

\dfrac{(x+3)(2x+5)-(3x+5)-(x)(x+1)}{x(x-3)(x+3)}\\\dfr\dfrac{2x^2+5x+6x+15-3x-5-x^2-x}{x(x-3)(x+3)}\\\dfr\dfrac{x^2+7x+10}{x(x-3)(x+3)}\\\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}

Hence, the expression which is equivalent to the difference of the given algebraic fraction is,

\dfr\dfrac{(x+5)(x+2)}{x(x-3)(x+3)}

Learn more about the difference of two fractions here;

brainly.com/question/13222

6 0
2 years ago
PLEASE HELP WILL GIVE brainliest if it helps :)
Zolol [24]

Answer:

i cant do the graph rn but the slope would be y=4x-2

Step-by-step explanation:

8 0
3 years ago
The first four terms of a sequence are shown on the graph below. On a coordinate plane, points are at (1, negative 1), (2, 8), (
Masja [62]

Answer:

  • The next term of the sequence is represented by the point (5, –64)

Step-by-step explanation:

<u>Note:</u> <em>The first point should be (1, - 4)</em>

According to the points, the sequence is:

  • t₁ = - 4, t₂ = 8, t₃ = - 16, t₄ = 32

or

  • - 4, 8, - 16, 32, ...

We can observe it is a geometric sequence with common ratio of - 2, as:

  • r = 32/ - 16 = - 16/8 = 8/ - 4 = - 2

The following term is:

  • t₅ = t₄*r = 32*(- 2) = - 64

The coordinates of same term are:

  • (5, - 64)

As we see the correct answer choice is D.

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2 years ago
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UkoKoshka [18]

Answer:

102 and 102

72 and 72

142 and 142

Step-by-step explanation:

5 0
3 years ago
Andrea ran 4 3/8 miles on
MrRissso [65]
(4 3/8) + (5 1/3)

(4+5)(3/8 + 1/3)

9 + (17/24)

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