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3 years ago

Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial.

Mathematics

1 answer:

dedylja [7]3 years ago

3 0

Answer:

Not a factor

Step-by-step explanation:

If (x - 3) is a factor then f(3) = 0

f(x) = x² - 4x + 30

f(3) = 2(3)² - 4(3) + 30 = 18 - 12 + 30 = 36 ≠ 0

Since f(3) ≠ 0 then (x - 3) is not a factor of f(x)

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The volume of a water walking ball is $\frac{4}{3}\pi$

saw5 [17]

If the radius of the ball is 1 meter. Then the diameter of the ball will be 2 meters.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The volume of a water walking ball (in cubic meters) is given below.

$\rightarrow\dfrac{4}{3}\pi$

Then the diameter of the sphere will be

We know the volume of the sphere is given as

$V = \dfrac{4}{3}\pi r^3$

where r is the radius of the ball.

Then the radius of the ball will be

$\rm \dfrac{4}{3}\pi = \dfrac{4}{3}\pi r^3\\\\r^3 \ = 1\\\\r \ \ = 1\ m$

Then the diameter of the ball will be

d = 2r

d = 2 × 1

d = 2 m

More about the geometry link is given below.

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2 years ago

The equation for the line of best fit is f(x) â‰ 1. 8x â’ 5. 4 for the set of values in the table. A 2-column table with 7 rows.

AleksandrR [38]

The equation for the line of best fit, the good approximation for x when f(x) = 30 is 20.

Given that

The equation for the line of best fit is f(x) = 1.8x − 5.4 for the set of values in the table.

A 2-column table with 7 rows.

The first column is labeled x with entries 4, 5, 6, 6, 8, 9, 10.

The second column is labeled f(x) with entries 5, 2, 5, 6, 8, 7, 18.

We have to determine

Using the equation for the line of best fit, what is a good approximation for x when f(x) = 30?

According to the question

The quadratic regression equation can be expressed as;

$\rm f(x) = 1.8x - 5.4$

Then,

The approximation for x when f(x) = 30 is,

$\rm f(x) = 1.8x - 5.4\\\\\rm 30= 1.8x - 5.4 \\\\ 1.8x= 30+5.4\\\\1.8x=35.4\\\\x = \dfrac{35.4}{1.4}\\\\x=19.67\\\\x=20 \ approx$

Hence, the equation for the line of best fit, the good approximation for x when f(x) = 30 is 20.

To know more about the Quadratic equation click the link given below.

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3 0

3 years ago

Which statement best describes an equilateral triangle?

Furkat [3]

<span>The statement that best describes an equilateral triangle is tha it has all sides of same length.</span>

6 0

4 years ago

Which equation satisfies all three pairs of a and b values listed in the table?

Tom [10]

Answer:

$y = 3x -10$

Step-by-step explanation:

The function seems to increase at a constant rate of 3 units. This means that the equation that satisfies these points could be that of a straight line.

We use the first two points to find the slope of the line.

(0, -10)

(1, -7)

(2, -4)

The equation of a line is:

$y = mx + b$

Where m is the slope of the line and b is the cutoff point with the y axis.

To find the slope of a line we use the following equation:

$m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-7 - (- 10)}{1-0}$

$m = 3$

So:

$y = 3x + b$

The cut point (b) is found by replacing in the previous equation, any of the three points provided and clearing b.

$-7 = 3(1) + b$

$b = -10$

Now we can write the equation of the line sought.

$y = 3x -10$

You can verify that the three points provided belong to this equation.

7 0

4 years ago

Read 2 more answers

Look at the pic and ANSWER CORRECTLY FOR POINTS

irinina [24]

Answer:

yes

Step-by-step explanation:

same sides+same angles= congruence

7 0

3 years ago