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yan [13]
2 years ago
10

ms. cox and her three friends are dining at a restaurant. the food they order cost %80. the bill includes an additional 15% serv

ice charge. how much does each person pay if they share the bill equally
Mathematics
1 answer:
zlopas [31]2 years ago
5 0

did i hear help i will help you soooooooo oooooooooo

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In Problems 23–30, use the given zero to find the remaining zeros of each function
Talja [164]

Answer:

x =  2i, x = -2i and x = 4 are the roots of given polynomial.

Step-by-step explanation:

We are given the following expression in the question:

f(x) = x^3 - 4x^2+ 4x - 16

One of the zeroes of the above polynomial is 2i, that is :

f(x) = x^3 - 4x^2+ 4x - 16\\f(2i) = (2i)^3 - 4(2i)^2+ 4(2i) - 16\\= -8i+ 16+8i-16 = 0

Thus, we can write

(x-2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Now, we check if -2i is a root of the given polynomial:

f(x) = x^3 - 4x^2+ 4x - 16\\f(-2i) = (-2i)^3 - 4(-2i)^2+ 4(-2i) - 16\\= 8i+ 16-8i-16 = 0

Thus, we can write

(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Therefore,

(x-2i)(x+2i)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16\\(x^2 + 4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

Dividing the given polynomial:

\displaystyle\frac{x^3 - 4x^2 + 4x - 16}{x^2+4} = x -4

Thus,

(x-4)\text{ is a factor of polynomial }x^3 - 4x^2 + 4x - 16

X = 4 is a root of the given polynomial.

f(x) = x^3 - 4x^2+ 4x - 16\\f(4) = (4)^3 - 4(4)^2+ 4(4) - 16\\= 64-64+16-16 = 0

Thus, 2i, -2i and 4 are the roots of given polynomial.

4 0
3 years ago
Plz help me with this
Lady_Fox [76]
Basically it’s asking when is the function g(x) greater than the function of f(x), which are both graphed on the graph. g(x) needs to be above f(x) for it to be greater, and that is shows between 0-2 and 4+, making the answer A
5 0
3 years ago
Find 15 * 15 * 15 * 500 how does this compare to finding 45 x 500
andrew11 [14]
15 * 15 * 15 * 500 = 1,687,500. it's different from finding 45 * 500 because 
15 * 15* 15 * 500 is the same as writing it as 15^3 * 500. This meaning you multiply the number 15 by itself 3 times, not add it 3 times, which is what
45 * 500 was showing. I hope this helped. 
4 0
3 years ago
What is the least common multiple. Thanks.
o-na [289]

Before we start, find the LCM of 9, 5, and 5, which is 1. The least common multiple for the x is x^3, because it is the smallest exponent. The smallest multiple for y is 0, because the last factor doesn't even have y. For z, it is z^2. So your answer is 1x^3z^2, or just x^3,z^2.

6 0
3 years ago
What is 8.89 × 1010 in standard notation?
SSSSS [86.1K]

Answer:

8978.9

Step-by-step explanation:

MULTIPLY THE THE GIVEN AND

8.89  ×  1010 = 8978.9

THEN THE RESULT WOUD BE THE STANDARD NOTATION.

8 0
3 years ago
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