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liubo4ka [24]
3 years ago
15

Simplify -12u + 11z “Enter the original expression if it cannot be simplified”

Mathematics
1 answer:
jeka943 years ago
6 0

Answer:

-12u + 11z

Step-by-step explanation:

The above expression cannot be simplified, for:

1) There is no common variable (one being <em>u</em>, and the other being <em>z</em>).

2) There are no common factors in between 12 & 11)

 - Factors of 12: 1, 2, 3, 4, 6, 12

 - Factors of 11: 1, 11

~

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Does (3,8) make the Equation y=x-5 true?
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Answer:

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Step-by-step explanation:

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3 years ago
Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros. Write the function in sta
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Answer:

f(x)=x^3+(3+\sqrt{5})x^2+(6\sqrt{5}-18)x

or

f(x)=x^3+3x^2+\sqrt{5}x^2-18x+6\sqrt{5}x

Step-by-step explanation:

A polynomial function with 3 zeroes is going to be of degree 3, so we're going to have at least least 3 factors of the form x-a, where <em>a </em>is a zero of the function. For three zeroes <em>a</em>, <em>b</em>, and <em>c</em>, we'd have the factors x-a,\ x-b, and x-c, making our function look like

f(x)=(x-a)(x-b)(x-c)

Substituting our roots for a, b, and c:

f(x)=(x-(-6))(x-0)(x-(3-\sqrt{5}))\\=(x+6)(x)(x-3+\sqrt{5})

To write this function in standard form, we can expand from left to right:

f(x)=(x^2+6x)(x-3+\sqrt{5})\\=(x^2+6x)x-(x^2+6x)3+(x^2+6x)\sqrt{5}\\=x^3+6x^2-3x^2-18x+\sqrt{5}x^2+6\sqrt{5}x\\=x^3+3x^2+\sqrt{5}x^2-18x+6\sqrt{5}x

At this point, we could either leave it as is, or group the coefficients for the x^2 and x terms to get

f(x)=x^3+(3+\sqrt{5})x^2+(6\sqrt{5}-18)x

7 0
4 years ago
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Answer:

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Step-by-step explanation:

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Answer: f^-1(n)= -n-3

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Answer:

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