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marusya05 [52]
3 years ago
7

Simplify (2x^{2} - 5x + 3) - (-x^{2} + 4x - 5)

Mathematics
1 answer:
MrRissso [65]3 years ago
5 0

Answer:

3x^2 - 9x + 8

Step-by-step explanation:

To simplify:

  • Distribute the -1 into the second term.
  • Collect and combine like-terms (terms with the same variables or powers)

The expression can be rewritten has (2x^2 - 5x + 3) -1(-x^2 + 4x - 5)

After distributing the -1, the equation becomes:

  • (2x^2 - 5x + 3) + (x^2 - 4x + 5)

The like-terms are:

  • 2x^2 and x^2
  • -5x and -4x
  • 3 and 5

Combine the like-terms:

  • 2x^2 + x^2 = 3x^2
  • -5x - 4x = -9x
  • 3 + 5 = 8

Substitute the simplified like-terms into the expression, in descending order:

  • 3x^2 - 9x + 8
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Please help me find the slope of the line graphed below!
valentinak56 [21]

Answer:

slope = - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

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Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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8 0
3 years ago
Read 2 more answers
school teacher and needs 22 pieces of wood, 3 over 8 ft long, for a class project. If he has a 9-ft board from which to cut the
tiny-mole [99]

Answer:

Yes, he will have enough 3 over 8 ft pieces for his class.

Step-by-step explanation:

Given:

Number of wood required = 22

Length of each wood, l=\frac{3}{8}\textrm{ ft}

Total length of the board, L=9\textrm{ ft}

Therefore, the number of woods that can be made using the given board is given as:

\textrm{Number of woods made}=\frac{\textrm{Total length of board}}{\textrm{Length of each wood}}\\\textrm{Number of woods made}=\frac{L}{l}=\frac{9}{\frac{3}{8}}=9\times \frac{8}{3}=\frac{72}{3}=24

So, he can make 24 woods of length \frac{3}{8}\textrm{ ft} using the 9 ft board. But he has to make only 22 pieces.

Therefore, he has enough of the wood to make the required number of pieces.

3 0
3 years ago
Which of the following fractions equal to 1/4
shutvik [7]

Answer:

D

Step-by-step explanation:

A  no   = 1/5

B no   = 4

C  no   = 1/3

D   yes

E     no = 17/50

4 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%2B2%2B%3D-2%5C%5C" id="TexFormula1" title="\frac{x}{2}+2+=-2\\" alt="\fr
expeople1 [14]
-8 is your answer so x=-8
5 0
3 years ago
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