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3 years ago

Write the equation in standard form. Then factor the left side of the equation. 3x2 + 19x = 14

Mathematics

2 answers:

solong [7]3 years ago

7 0

3x^2+19x-14=0 Standard form
(3x-2)(x+7)=0 Factored

Airida [17]3 years ago

6 0

Answer:

Standard form of the equation, $3x^2+19x-14=0$

Factor of the equation is, $(x+7)(3x-2)=0$

Step-by-step explanation:

The standard form of the quadratic equation is given as

$Ax^2+Bx+C = 0$

Given the equation:

$3x^2+19x = 14$

Subtract 14 from both sides we have;

$3x^2+19x-14=0$

⇒The standard form of the equation is, $3x^2+19x-14=0$

Now, find the factor of the given equation:

$3x^2+19x-14=0$

⇒ $3x^2+21x-2x-14=0$

⇒ $3x(x+7)-2(x+7) = 0$

⇒ $(x+7)(3x-2)=0$

Therefore, the factor of the equation is, $(x+7)(3x-2)=0$

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An unknown number y is 12 more than an unknown number x. The number y is also x less than 17. The equations to find x and y are

grandymaker [24]

Answer:

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3 years ago

Read 2 more answers

What are the points of discontinutity y=(x-3)/x^2-12x+27

madreJ [45]

Answer:

$(3, -\frac{1}{6})$

Step-by-step explanation:

We can rewrite the equation as

$y = \frac{x - 3}{(x - 3)(x - 9)}$

Notice that we have $x - 3$ in both the numerator and the denominator, so it looks like we can divide it out. However, what if $x - 3$ is $0$ ? Then we would have $y = \frac{0}{0 \times (x - 9)} = \frac{0}{0}$ , which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for $x = 3$ , but this one is not).

A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at $x = 3$ . In the simplified version of the function, if we plug in $x = 3$ , we get

$y = \frac{1}{((3) - 9)} = -\frac{1}{6}$

So the point $(3, -\frac{1}{6})$ is our only point of discontinuity.

It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at $x = 9$ (since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of $x$