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3 years ago

Is 9.56556555 a rational or irrational number?

Mathematics

1 answer:

pantera1 [17]3 years ago

7 0

Answer:

irrational

Step-by-step explanation:

the decimal does not terminate

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Which of the following polynomial functions is graphed below?

Olegator [25]

Answer: B. f(x)=(x+4)(x-2)^2(x+3)

Step-by-step explanation:

in the graph there's two negative x value and one positive x value

so the function should be in a form of f(x)= (x+a) (x-b)^2 (x+c)

the one with negative value has a square, (x-b)^{2}, because that's where the y = 0 (the point is hitting the (x,0))

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MissTica

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3 years ago

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

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2 years ago

Find all zeros f(x)=x^4+6x^3+173x^2+332x+164

zheka24 [161]

The zeros are (-1,0)

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3 years ago