All categories

3 years ago

Find all x-intercepts of the function. y = x³ - 9x² + 18x

Mathematics

2 answers:

iris [78.8K]3 years ago

6 0

Answer:

Step-by-step explanation:

X-intercepts mean y=0 so we have

y = x³ - 9x² + 18x = 0

Factoring

x³ - 9x² + 18x = 0

x*(x² - 9x +18) = 0

x*(x-3)*(x-6) = 0

So x-intercepts are at x=0, x=3 and x=6

PolarNik [594]3 years ago

3 0

Answer:

Step-by-step explanation:

see plot, intercepts at 0, 3, 6

You might be interested in

Triangle MNP has side lengths 3.5 cm, 4.1 cm, and 4.3 cm. A triangle with what side lengths would be similar to triangle MNP?

atroni [7]

Answer:

Option 1,

The triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm

Step-by-step explanation:

Given triangle MNP has side lengths 3.5 cm, 4.1 cm, and 4.3 cm. we have to find the similarity triangle sides from the given option.

As we know, the two triangles are similar if the measures of the corresponding sides of two triangles are proportional.

For the first option: 35 cm, 41 cm, 43 cm

$\frac{3.5}{4.1}=\frac{4.1}{41}=\frac{4.3}{43}=\frac{1}{10}$

which shows that the sides are proportional.

we have to choose only one option ∴ we needn't have to check the others

Hence, the triangle MNP is similar to the triangle with side lengths 35 cm, 41 cm, 43 cm

6 0

3 years ago

3x-2>4<br> What’s the answer

Oxana [17]

Answer:

Step-by-step explanation:

3 0

3 years ago

A line’s equation is given in point-slope form:<br> y−6=(−23)(x+6)<br> This line’s slope is?

Nikolay [14]

The slope of the line is -23

<h3>How to determine the slope of the line?</h3>

The line’s equation is given in point-slope form:

y − 6 = (−23)(x + 6)

The line’s equation in point-slope is represented as:

y − y1 = m(x - x1)

Where

m represents the slope

By comparing y − y1 = m(x - x1) and y − 6 = (−23)(x + 6), we have

m = -23

Hence. the slope of the line is -23