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neonofarm [45]
2 years ago
6

Put the following equation in standard form and determine the quadratic, linear, and constant coefficients. -3x2 - 8 = 5x - 7

Mathematics
1 answer:
marusya05 [52]2 years ago
8 0

Answer:

  • -3x² -5x -1 = 0
  • -3 (quadratic)
  • -5 (linear)
  • -1 (constant)

Step-by-step explanation:

The equation will be in standard form when terms are listed in order of decreasing degree, and the right side of the equation is 0.

<h3>Standard form</h3>

We can subtract the right-side expression from both sides to get standard form.

  -3x² -8 -(5x -7) = 5x -7 -(5x -7)

  -3x² -8 -5x +7 = 0 . . . . . . . simplify a bit

  -3x² -5x -1 = 0 . . . . . . . . . collect terms

The standard form equation can be written ...

  -3x² -5x -1 = 0

<h3>Coefficients</h3>

The quadratic coefficient is the coefficient of the term with degree 2. The quadratic coefficient is -3.

The linear coefficient is the coefficient of the term with degree 1. The linear coefficient is -5.

The constant coefficient is the coefficient of the term with no variables. The constant is -1.

__

<em>Additional comment</em>

We can make the leading coefficient positive by multiplying the equation by -1. This gives ...

  3x² +5x +1 = 0

with quadratic, linear, and constant coefficients 3, 5, 1.

This is a legitimate answer to this question. In the case of linear equations, the "standard form" has the constant on the right side of the equal sign, and the leading coefficient is required to be positive. A negative leading coefficient can sometimes lead to errors (when the sign is overlooked), so having a positive leading coefficient is often preferred.

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Given:

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We know that,

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Let x be the length of each edge on its base. Then the height of the container is:

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Putting V=2000,\ l=x,\ w=x,\ h=2x, we get

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8 0
3 years ago
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Answer:

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How do I create an equation and solve for x
vekshin1

Answer:

Equation: (2x + 30) + 106 = 180

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Step-by-step explanation:

<u>We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;</u>

180 - (33 + 41) = missing angle

180 - 74 = missing angle

<u>106</u>°<u> = missing angle</u>

Now we can set up our equation to solve for x:

(2x + 30) + missing angle = 180°

<u>(2x + 30) + 106 = 180</u>°<u> => This would be our equation:</u>

Now let's solve:

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Hope this helps!

6 0
3 years ago
Read 2 more answers
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