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Vaselesa [24]
3 years ago
8

Does an equation always have a solution? Could you come up w/ an equation that does not have a solution? If yes, explain why thi

s equation does not have a solution?
Mathematics
2 answers:
Damm [24]3 years ago
8 0
An equation does not always have a solution. Sometimes, an equation can have a variable that does not equal the remaining value on the other side. For example, root negative x could never equal a number squared.
√-x ≠ 14²
This equation cannot have a solution because you can't square any number to get a negative solution. Therefore, x= no solution.
AveGali [126]3 years ago
7 0
No an equation doesn't always have a solution. An example would be 2x+3=2x+7
To solve this you would subtract 2x on each side, which that would give you 3=7 therefore that equation has no solution
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Give an example of a quadratic with complex roots. Explain how you know it has complex roots.
Vladimir [108]
2x^2 + x + 3=0 has only complex roots.

The determinant is 1-4*2*3 = -23

-23 (or any determinant) is the part under the square root sign,  If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.
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3 years ago
A vertical line has points C, E, F from top to bottom. 2 lines extend from point E. One line extends to point A and another exte
Alex Ar [27]
It would be something I’m just not sure
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Lysha bought stock at $2.50 for each share. The price of the stock increased $4.75 after one month. It then decreased $1.25 and
Softa [21]

Answer:3.55

Step-by-step explanation:

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3 years ago
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Suppose P varies directly with q and that P=36 when q=9 . <br> What is the value of P when q=3?
Yuri [45]

Answer:

P=12

Step-by-step explanation:

Since P=36 and q=9, this looks like a ratio of 4:1. So if q=3, multiply that value by 4 to get your answer

7 0
3 years ago
Complete the equation for the standard form of the line that has an x-intercept of –4 and a y-intercept of 3
Kazeer [188]

Answer:

The equation for the standard form of the line will be:

  • 3x + (-4y) = -12

Step-by-step explanation:

Given

  • x-intercept = –4
  • y-intercept = 3

The equation of a line in standard form

  • Ax + By = C

where A is a positive integer and B, C are integers

We know the equation of a line in  slope-intercept form

y = mx+b

where m is the slope and b the y-intercept

To calculate the slope, use the gradient formula

m = y₂-y₁ / x₂-x₁

let  

(x₁, y₁) = (-4, 0)             ∵ x-intercept = (-4, 0)

(x₂, y₂) = (0, 3)              ∵ y-intercept = (0, 3)

m = y₂-y₁ / x₂-x₁

    = (3 - 0) / (0 - (-4))

    = 3 / 4

Thus, the equation in slope-intercept form:

y = mx+b

y = 3/4x + 3

  • Writing in standard form

Multiply y = 3/4x + 3 by 4

4y = 3x + 12

3x-4y = -12

3x + (-4y) = -12

Thus, the equation for the standard form of the line will be:

  • 3x + (-4y) = -12

7 0
3 years ago
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