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atroni [7]
2 years ago
11

Add the algebraic expressions x²+x-2 and 2x²-5x+7​

Mathematics
2 answers:
dalvyx [7]2 years ago
8 0

\large \mathfrak{Solution : }

  • {x}^{2}  + x - 2 + 2 {x}^{2}  - 5x + 7

  • {x}^{2}  + 2 {x}^{2}  + x - 5x - 2 + 7

  • 3 {x}^{2}  - 4x + 5

tigry1 [53]2 years ago
3 0

Answer:

3x^2-4x+5

Step-by-step explanation:

x^2+x-2+2x^2-5x+7

<u>Group like terms:</u>

<u></u>x^2+2x^2+x-5x-2+7<u></u>

<u>Add similar elements:</u>

<u></u>x^2+2x^2<u></u>

=3x^{2}

<u>Add similar elements:</u>

<u></u>x-5x<u></u>

=-4x

3x^2-4x-2+7

<u>Add the numbers:</u>

<u />-2+7

=3x^2-4x+5

<h3 /><h3>~❃❃ OPEACEO❃❃~ </h3>
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Answer:

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Step-by-step explanation:

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Find the midpoint of CD if C(0, 3) and D(4,7).​
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Maggie’s brother is three years younger than twice her age. The sum of their ages is 24. How old is maggie?
JulsSmile [24]

To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:

m + b = 24

b = 2m - 3

To solve, we are going to substitute the value for b in terms of m given by the second equation into the first equation for the variable b.

m + b = 24

m + 2m - 3 = 24

To simplify, we must first combine the variable terms on the left side of the equation using addition.

3m - 3 = 24

Next, we should add 3 to both sides of the equation to get the variable term alone on the left side of the equation.

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Finally, we should divide both sides by 3 in order to get the variable m alone.

m = 9

Therefore, Maggie is 9 years old (using the first equation and substituting in this value you can find that her brother is 15 years old).

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Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l
creativ13 [48]

Using a system of equations, it is found that the unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

For the system:

  • x is the unit price of a bag of chips.
  • y is the unit price of liter of pop.
  • z is the unit price for a chocolate bar.

From the table, the equations are:

2x + 2y + z = 9.25

3x + 4y + z = 14.50

x + 3y + 3z = 12

Replacing the <u>first equation on the second and the third:</u>

z = 9.25 - 2x - 2y

3x + 4y + z = 14.50

3x + 4y + 9.25 - 2x - 2y = 14.50

x + 2y = 5.25

x = 5.25 - 2y

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Since x = 5.25 - 2y:

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-7y = -10.5

y = \frac{10.5}{7}

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Then:

x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25

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The unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

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