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3 years ago

Select the number sentence that illustrates the commutative property of addition.

2 answers:

5 0

10+23=23+10. That is because commutative property is when you have two equations that's equal the same amount. You can tell it is of addition because it's basically using addition to find the answer to both equations (which are the same)

zhuklara [117]3 years ago

3 0

I would say 23+10=33

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What is the equation of the line whose slope is 3 that passes through the point (-1, 5).

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the point slope equation of a line is y - y1 = m (x - x1)

plug in x1 and y1 and m
y- (5) = (3)(x - (-1))
y - 5 = 3x + 3
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4 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

NeX [460]

Answer:

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

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

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 a is a zero of the function. For three zeroes a, b, and c, 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

Pls help giving brainleist and 20 points

stich3 [128]

Answer:

The first one is B because 5 times 7 is 35 and you put it as a fraction and the second one is B because the answer is 35/16 and if you simplify it the answer would be 2 3/16

Step-by-step explanation:

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3 years ago