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hoa [83]
4 years ago
15

Find the sum of 2x2 + 3x - 4, 8 - 3x, and -5x2 + 2.

Mathematics
2 answers:
notka56 [123]4 years ago
7 0

Answer:

C) -3 x2 + 6

Step-by-step explanation:

Given algebraic expressions are:

  • \[2x^{2}+3x-4\]
  • \[8-3x\]
  • \[-5x^{2}+2\]

Adding the given expressions:

\[2x^{2}+3x-4 + 8-3x + (-5x^{2}+2)\]

Simplifying:

\[2x^{2}-5x^{2}+3x-3x-4 + 8 + 2\]

\[= (2-5)x^{2}+(3-3)x+(8 -4 + 2)\]

\[= -3x^{2}+6\]

Among the given options, this is equivalent to option C.

inessss [21]4 years ago
3 0
2x^2 +3x -4 +8 -3x -5x^2 +2
-3x^2 + 6

Answer is C) -3x^2 + 6
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At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress.
Paha777 [63]

Answer:

The number of yards of silk = x = 1.5 yards

The number of yards of cotton = y = 2.75yards

Step-by-step explanation:

At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.

Find the solution of the system of equations. Explain or show your reasoning

{x+y=4.25} ; {16.90x+4y=36.35}

Let the number of yards of silk = x

The number of yards of cotton = y

We are given the system of equations:

{x+y=4.25} ......Equation 1

x = 4.25 - y

{16.90x+4y=36.35}....... Equation 2

4.25 - y for x in Equation 2

16.90(4.25 - y) + 4y = 36.35

71.825 - 16.90y + 4y = 36.35

71.825 - 36.35 = 16.90 - 4y

35.475 = 12.90y

y = 35.475/12.90

y = 2.75 yards.

The number of yards of cotton = y

{x+y=4.25} ......Equation 1

x = 4.25 - y

x = 4.25 - 2.75

x = 1.5 yards

The number of yards of silk = x = 1.5 yards

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Step-by-step explanation:

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