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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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eight hot dogs at the baseball park cost $28. how much does one hot dog cost? (let h = price of hot dog)
tangare [24]

Answer: $3.50

Step-by-step explanation:28/8=3.5

=3.50

8 0
2 years ago
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Can somebody pls help me!! :(( it’s due today
Lemur [1.5K]

Answer: $4110.8 (more likely - 95% sure) or $2,107 (less likely)

Step-by-step explanation: It could be $4110.8 because you have the take the total they made and subtract is from the cost of the toys ($7,230-$2,450=$4,780). Then you have to take the result of that and get 14% of it, then subtract that from the $4,780 amount. Then you get the final answer which is $4110.8.

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However, it could also be $2,107 because the question itsn't that clear in the second sentence. It could be saying that $2,450 is the price of the toys (which is what I assumed above), or that it is the profit that the $2,450 (which I used below). I think that the above answer is more likely because if not then the first number would never be used. Anyways here is the second way it could be.

Step-by-step explanation: It could be $2,107 because you take the profit ($2,450) and get 14% of it, then subtract that from the $2,450 amount. Then you get the final answer which is $2,107.

If I was you, I would do the first one ($4110.8) because I really think it is that one. I just put the other one here just in case.

6 0
3 years ago
Joel biked 9 miles east and then 12 miles north. If he
andrey2020 [161]

Answer:

36 miles

Step-by-step explanation:

His entire journey, represented with a diagram, is in the shape of a right angle triangle.

We need to first find the hypotenuse of the triangle, then, add all the sides together:

hyp² = opp² + adj²

hyp² = 9² + 12²

hyp² = 81 + 144 = 225

Find the square root of both sides:

hyp = 15 miles

Therefore, adding the three sides together:

Total distance traveled = 9 + 12 + 15

Total distance traveled = 36 miles

He would ride 36 miles altogether.

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2 years ago
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katrin2010 [14]

Answer:

12

Step-by-step explanation:

2*6=12

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The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches What is the height of the tr
ExtremeBDS [4]
The height of the triangular base of the pyramid is calculated through the equation,
                                        h = (cos x)(18 in)
where h is height and x is half of the angle of the triangle. Since the triangle is equilateral, the value of  x is 30°. Substituting,
                                        h = (cos 30°)(18 in)
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