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3 years ago

10)Simplify the expression.6(4x + 12) – 9x - 18 - 4(-6)

Mathematics

1 answer:

aleksklad [387]3 years ago

4 0

Answer:

$\boxed{\bold{15x+78}}$

Step By Step Explanation:

Apply Rule - (-a) = a

$\bold{6\left(4x+12\right)-9x-18+4\cdot \:6}$

Multiply: 4 · 6 = 24

$\bold{6\left(4x+12\right)-9x-18+24}$

Expand $\bold{6\left(4x+12\right): \ 24x+72}$

= $\bold{24x+72-9x-18+24}$

Simplify $\bold{24x+72-9x-18+24}$

= $\bold{15x+78}$

━ Mordancy ━

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P(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).

Mila [183]

Answer:

The polynomial is:

$p(x) = -x^3 - 2x^2 + 5x + 6$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Zeros of −3, −1, and 2

This means that $x_1 = -3, x_2 = -1, x_3 = 2$ . Thus

$p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)$

$p(x) = a(x - (-3))*(x - (-1))*(x-2)$

$p(x) = a(x+3)(x+1)(x-2)$

$p(x) = a(x^2+4x+3)(x-2)$

$p(x) = a(x^3+2x^2-5x-6)$

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This means that when $x = 1, p(x) = 12$ . We use this to find a.

$12 = a(1 + 2 - 5 - 6)$

$-12a = 12$

$a = -\frac{12}{12}$

$a = -1$

Thus

$p(x) = -(x^3+2x^2-5x-6)$

$p(x) = -x^3 - 2x^2 + 5x + 6$

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Answer:

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Step-by-step explanation:

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Standard deviation of 1.3

This means that $\sigma = 1.3$

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This means that $n = 124$

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Step-by-step explanation:

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Standard deviation : $\sigma= 2\text{ lbs}$

Let X be the random variable that represents the weight of randomly selected student .

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$z=\dfrac{5-5}{2}=0$

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3 years ago

10)Simplify the expression.6(4x + 12) – 9x - 18 - 4(-6)​

10)Simplify the expression.6(4x + 12) – 9x - 18 - 4(-6)