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3 years ago

Given the trinomial 2x2 − 5x + 3, what is the value of the Discriminant and what can be said about the solutions.

1 answer:

4 0

The formula to finding a discriminant would be b^2-4ac, the b value of this trinomial being -5, the a value being 2, the c value being 3. Then, you plug the values in the equation and solve: (-5)^2-4(2)(3)
This would simplify to 1, meaning there are two solutions since the discriminant value is positive. If it is 0, there is one solution, if it is negative, then there are no real solutions.

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Which is true regarding the system of equations?<br><br> x minus 4 y = 1. 5 x minus 20 y = 4.

goldfiish [28.3K]

Answer:

No solution

Step-by-step explanation:

x - 4y = 1 --> (1)

5x - 20y = 4 --> (2)

y = (¼)x - ¼ --> (1)

y = (¼)x - ⅕ --> (2)

Since these are 2 parallel lines with different y-intercepts, they will never meet

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3 years ago

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Natali5045456 [20]

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2 years ago

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nikklg [1K]

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3 years ago

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Brums [2.3K]

Answer:

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Step-by-step explanation:

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7 0

2 years ago

Use these functions a(x) =4x +9 and b(x) =3x -5 to complete the function operations listed below

Sloan [31]

Consider that we need to find $(a+b)(x), (a-b)(x), (ab)(x),\left(\dfrac{a}{b}\right)(x)$ .

Given:

The functions are:

$a(x)=4x+9$

$b(x)=3x-5$

To find:

The function operations $(a+b)(x), (a-b)(x), (ab)(x),\left(\dfrac{a}{b}\right)(x)$ .

Solution:

We have,

$a(x)=4x+9$

$b(x)=3x-5$

Now,

$(a+b)(x)=a(x)+b(x)$

$(a+b)(x)=4x+9+3x-5$

$(a+b)(x)=7x+4$

Similarly,

$(a-b)(x)=a(x)-b(x)$

$(a-b)(x)=4x+9-(3x-5)$

$(a-b)(x)=4x+9-3x+5$

$(a-b)(x)=x+14$

And,

$(ab)(x)=a(x)b(x)$

$(ab)(x)=(4x+9)(3x-5)$

$(ab)(x)=12x^2-20x+27x-45$

$(ab)(x)=12x^2+7x-45$

And,

$\left(\dfrac{a}{b}\right)(x)=\dfrac{a(x)}{b(x)}$

$\left(\dfrac{a}{b}\right)(x)=\dfrac{4x+9}{3x-5}$

Therefore, the required functions are $(a+b)(x)=7x+4$ , $(a-b)(x)=x+14$ , $(ab)(x)=12x^2+7x-45$ and $\left(\dfrac{a}{b}\right)(x)=\dfrac{4x+9}{3x-5}$ .

4 0

3 years ago