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3 years ago

Suppose U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is the universal set and Q = {3, 6, 9). What is Q"?

Mathematics

1 answer:

mario62 [17]3 years ago

3 0

Answer:

$\{3, 6, 9\}$

Step-by-step explanation:

U is the universal set, that is, a set that contains the universe of possible sets, which is formed by 10 elements in this. Q is a subset of U formed by three elements: 3, 6, 9. ( $Q \subseteq U$ )

$Q''$ represents the complement of the complement of $Q$ . The complement of $Q$ is the subset of $U$ formed by elements not contained in $Q$ . which simbolized by $Q'$ . That is, 1, 2, 4, 5, 7, 8, 10.

The complement of $Q'$ corresponds to the elements contained in $Q$ . Hence, the correct answer is $\{3, 6, 9\}$ .

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Divide -3x^3-2x^2-x-2 by x-2

Rasek [7]

Let's do this by Briot-Ruffini

First: Find the monomial root

x - 2 = 0

x = 2

Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2

Copy the first coeficient

2 | -3 -2 -1 -2

-3

Multiply him by the root and sum with the next coeficient

2.(-3) = -6

-6 + (-2) = -8

2 | -3 -2 -1 -2

-3 -8

Do the same

2.(-8) = -16

-16 + (-1) = -17

2 | -3 -2 -1 -2

-3 -8 -17

The same,

2.(-17) = -34

-34 + (-2) = -36

2 | -3 -2 -1 -2

-3 -8 -17 -36

Now you just need to put the "x" after all these numbers with one exponent less, see

2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36

You may be asking what exponent -36 should be, and I say:

None or the monomial. He's like the rest of this division, so you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)

Just divide the rest by the monomial.

5 0

3 years ago

Use a graphing calculator to graph the function and its parent function. Then describe the transformations, f(x)=(x+3)+1/4

nlexa [21]

Most of the graphing resources used shows that the graph is translated up by 3.25 (3 + 1/4). If you add the 3 and the 1/4, you get the equation of a line:

f(x) = x + 3.25,

which means that the graph of f(x)= x now has a y intercept of 3.25.

The graphs are below. The red line represents f(x) = x, and the green line represents (x+3)+1/4. Hope this helps!

8 0

2 years ago

A large cheese pizza costs $7.50. Each additional topping for the pizza costs $1.35. If the total bill for the pizza Sally order

konstantin123 [22]

Answer: She ordered 4 toppings.

Step-by-step explanation:

Given: Total cost of pizza = $ 12.90

Cost of pizza =$7.50

Price per topping = $1.35

Let x = Number of toppings,

Total cost of pizza = (Cost of pizza) + (price per topping) × (Number of topping)

$12.90= 7.50+1.35x\\\\\Rightarrow\ 1.35x=12.90-7.50\\\\\Rightarrow\ 1.35x=5.4\\\\\Rightarrow\ x=\dfrac{5.4}{1.35}\\\\\Rightarrow\ x=\dfrac{540}{135}=4$

hence, she ordered 4 toppings.

5 0

2 years ago

I’ll mark youyou brainlist I’ll mark youyou brainlist

ale4655 [162]

8r + 206 + 7r +79 = 360
15r + 285 = 360
15r = 75
r = 5

7(5) + 79
35 + 79

angle YMB is 114°

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2 years ago

Read 2 more answers

GIVING BRAINLEST!!!Joe and Tim observed two points, P and Q, on a number line. A number line is shown from negative 1 to positiv

Veronika [31]

Answer:

Step-by-step explanation:

P is 5 ticks to the left of 0, so it would be -5/8

Q is 5 ticks to the right of 0, so it would be at 5/8

an absolute value turns a negative number into a positive number

so absolute value of P located at -5/8 = 5/8

this is the location of point Q

Joe said that the absolute values of the numbers represented by the two points are the same.

8 0

3 years ago