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3 years ago

Write a third-degree polynomial function whose zeros are 1, −3, and 4.

2 answers:

8 0

Recall that zeroes can be transformed into factors by subtracting them from x. This gives us the following factors:

(x - 1)(x + 3)(x - 4)

Now, if you multiply the first two factors together, you get the following:

(x² + 2x - 3)

Multiply that by the last factor, (x - 4), and you get this:

(x³ + 2x² - 3x - 4x² - 8x + 12)

This can be simplified:

(x³ - 2x² - 11x + 12)

And there's your final answer. Hope this helped!

blondinia [14]3 years ago

7 0

(x³ - 2x² - 11x + 12)

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The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.

Vaselesa [24]

Answer: The wavelength for X-rays with the given frequency is $1\times 10^{-10}m$

Step-by-step explanation:

To calculate the wavelength of light, we use the equation:

$\lambda=\frac{c}{\nu}$

where,

$\lambda$ = wavelength of the light

c = speed of light = $3\times 10^8m/s$

$\nu$ = frequency of light = $3\times 10^{18}s^{-1}$

Putting the values in above equation, we get:

$\lambda=\frac{3\times 10^8m/s}{3\times 10^{19}s^{-1}}=1\times 10^{-10}m$

Hence, the wavelength for X-rays with the given frequency is $1\times 10^{-10}m$

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2 years ago

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The domain is x≥ 2 and the range is y≥ 5. The domain is x≥ 2 and the range is y≥ 6. The domain and range are all positive real n

Dmitry [639]

Answer:

Step-by-step explanation:

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2 years ago

If a backpack can fit 10 pounds of good, how many backpacks are necessary for 35 pounds of good.

slega [8]

Answer:

3.5

hope this helps

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3 years ago

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A relation is plotted as a linear function on the coordinate plane starting at point C (0,−1)(0,−1) and ending at point D (2,−11

Alika [10]

To find the rate of change, or slope, pick two points. The slope, is change in y coordinates over change in x coordinates.
$slope = \frac{y2-y1}{x2-x1}$ .

In this case, the slope is
$\frac{-11+1}{2-0} = \frac{-10}{2} = -5$ .
Remember that subtracting a negative number equals adding the number without the negative sign.
a-(-b) = a+b

Now for the y-intercept. The y-intercept is where the graph intersects the y-axis, where x = 0.
You have the coordinate (0, -1), where x = 0. So the y-intercept is -1.

Putting these values into the slope-intercept form y = mx+b, the equation is
y = -5x - 1

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3 years ago

Circumference of a circle

gregori [183]

Answer:

24.48757954 (I don’t know what it wants you to round it by

Step-by-step explanation:

Circumference= pi times diameter, radius is half of the diameter, so divide 153.86 divided by pi and then divide by 2 again

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3 years ago