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Sergio [31]
3 years ago
13

Which polynomial function has a leading coefficient of 2, root - 4 with multiplicity 3, and root 10 with multiplicity 1?

Mathematics
1 answer:
Arlecino [84]3 years ago
6 0

Answer:

second option

Step-by-step explanation:

Given x = a, x = b are roots of f(x) then the factors are

(x - a) and (x - b)

and f(x) is the product of the factors

f(x) = a(x - a)(x - b) ← where a is a multiplier

If the roots have multiplicity then the factor is repeated

x = a with multiplicity 2, then factors are (x - a) and (x - a)

Here a = 2

x = - 4 with multiplicity 3, thus factors (x + 4 ), (x + 4), (x + 4)

x = 10 with multiplicity 1 has factor (x - 10)

Thus the polynomial function is

f(x) = 2(x + 4)(x + 4)(x + 4)(x - 10)

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Kari's paper cup holds 6 fluid ounces. If one ounce is equivalent to 29.6 milliliters, how many milliliters does her paper cup h
Degger [83]

Answer:

Equivalent measurements: teaspoon, ounce, pint, pound

You will find a table of equivalent measurements in the back of many cookbooks:

1 tablespoon = 3 teaspoons  

      1 cup = 16 tablespoon = 8 ounces  

    1/4 cup = 4 tablespoons  

    1/3 cup = 5 tablespoons plus 1 teaspoon  

     1 pint = 2 cups = 16 ounces  

    1 quart = 4 cups (2 pints) = 32 ounces  

   1 gallon = 4 quarts

    1 pound = 16 ounces

  1/2 pound = 8 ounces

  1/4 pound = 4 ounces

Note that a pint is 16 ounces of volume, while a pound is 16 ounces of weight. The popular rhyme "A pint's a pound, the world around" can help you remember this, but keep in mind that they're not really equivalent.

Doubling a recipe can be easy (just put in two of each measurement), but what if you need to divide a recipe in half? Here are some measurements that may help:

Measurement    1/2 Measurement

1/8 teaspoon   just a dash

1 tablespoon   1 1/2 teaspoons

1/4 cup        2 tablespoons

1/3 cup        2 tablespoons + 2 teaspoons

3/4 cup        6 tablespoons

Step-by-step explanation:

7 0
3 years ago
Please help! Will mark brainliest
iris [78.8K]
5 x 10^-2, 50%, 1/3, 0.6
Second option
5 0
3 years ago
two cylindrical candles have a scale factor of 3:5. The larger candle has a volume of 40(3.14) cubic inches. Fund the volume of
joja [24]

5 = 40\pi \\ 3 =( (40 \div 5) \times 3)\pi \\  = 24\pi
7 0
3 years ago
A football team tries to move the ball forward as many yards as possible on each play, but sometimes they end up behind where th
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Answer:

Given:

The distances, in yards, that a team moves on its first five plays are 2, 21, 4, 3, and 25.

Solved:

1. The greatest number is 25

2. If the moved distances are square, which one is largest?

3. The move which is greater than 4 is considered "big play"

=> 21 and 25 are big play (21 > 4, 25 > 4)

Hope this helps!

:)

3 0
3 years ago
A student says that a coordinate grid under a dilation with the center at the origin and scale factor 2 does not change the grid
Kisachek [45]

Answer:

Dilation changes (x,y) values not the grid or coordinate plane. Basically, dilating a graph or a coordinate grid means the original coordinates you may have had will be changed with the dilation.  For example, a triangle plotted had its original area of 26 dilated to an area of 58.

8 0
3 years ago
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