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Orlov [11]
3 years ago
8

Which simplified expression matches the set of tiles shown?

Mathematics
1 answer:
notka56 [123]3 years ago
6 0

Answer:

The expression  - x² - x + 2  and   - x² + x + 2  matches the set of tiles

Step-by-step explanation:

Given four expression as :

A ) - x² - x + 2

solving by mid term breaking

Or,  - x² - 2 x + x + 2

Or,  - x ( x + 2 ) + 1 ( x + 2 )

or, ( x + 2 ) ( - x + 1 )

B )   x² - x + 2

solving by mid term breaking

Or,   x² - 2 x + x + 2

or,  x ( x - 2 ) + 1 ( x + 2 )

So, the expression will not break

C )  - x² + x + 2

solving by mid term break

Or,  - x² + 2 x - x + 2

or,  - x ( x - 2 ) - 1 ( x - 2 )

or,  ( x - 2 ) ( - x - 1 )

D )  x² + x + 2

solving by mid term break

Or, ) x² + 2 x - x + 2

Or,   x ( x + 2 ) - 1 ( x - 2 )

so, The expression will not break

Hence The expression  - x² - x + 2  and   - x² + x + 2  matches the set of tiles answer

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Answer:

The graph in the attached figure

Step-by-step explanation:

The complete question is

Which graph best represents the solution to the following system?

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we have

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isolate the variable y

Adds 2y both sides

5x \leq 10+2y

Subtract 10 both sides

5x-10 \leq 2y

Divide by 2 both sides

2.5x-5 \leq y

Rewrite

y \geq 2.5x-5

The solution of the inequality A is the shaded area above the solid line

The equation of the solid line is y=2.5x-5

The slope of the solid line is positive m=2.5

The y-intercept of the solid line is (0,-5)

The x-intercept of the solid line is (2,0)

x+y < 5 -----> inequality B

Isolate the variable y

Subtract x both sides

y < -x+5

The solution of the inequality B is the shaded area below the dashed line

The equation of the dashed line is y=-x+5

The slope of the dashed line is negative m=-1

The y-intercept of the dashed line is (0,5)

The x-intercept of the dashed line is (5,0)

using a graphing tool

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