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timofeeve [1]
2 years ago
7

1. it has at least 10 values. 2. it has at least 3 values that are different. 3. it has a mean and median of 12.

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
8 0

Answer: 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17

Step-by-step explanation:

First, we can ensure that 12 is the median by putting it in the middle and putting the same amount of numbers to its left and right side. To make the values have a mean of 12, the easy why to do it is to subtrate one as you move to the left and add one as you move to the right, that way they will cancel each other out and keep the mean at 12. The answer has a total of 11 values, has more than 3 values that are different, and has a mean and median of 12.

7+8+9+10+11+12+13+14+15+16+17=132

132/11=12

There are 5 values to each side of 12, making 12 the median.

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1 Solve the compound inequality 4x&gt;-16 or 6x &lt;-48<br>​
Yuliya22 [10]

Answer:

Step-by-step explanation:

4x > -16 reduces to x > -4:  All numbers greater than x = -4 (shaded area to the right of -4).

6x < -48 reduces to x < -8:  All numbers to the left of -8 (shaded area to the left of -8).

Solution:  (-infinity, -4) ∪ (-8, infinity)

The number line between -8 and -4 is not part of the solution set (is not shaded or darkened)

Draw an open circle at -8 and extend an arrow to the left of this circle.  Then draw an open circle at -4 and extend an arrow to the right of this circle.

5 0
3 years ago
(03.05 MC) Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for
ycow [4]

Answer:

x = 0 and x = -2 are solutions of the given rational equation.

Step-by-step explanation:

We must solve the following rational equation:

\frac{x}{2} = \frac{x^{2}}{x-2}

Now we present the procedure:

1) \frac{x}{2} = \frac{x^{2}}{x-2} Given

2) x\cdot (x-2) = 2\cdot x^{2} Compatibility with multiplication/Existence of the multiplicative inverse/Definition of division/Modulative property.

3) x^{2}-2\cdot x = 2\cdot x^{2} Distributive property/a^{b}\cdot a^{c} = a^{b+c}

4) x^{2} + 2\cdot x = 0 Compatibility with addition/Existence of the additive inverse/Modulative property/Reflexive property

5) x \cdot (x+2) = 0 Distributive property/a^{b}\cdot a^{c} = a^{b+c}

6) x = 0\, \lor\, x = -2 Result

Now we check the rational equation with each root:

x = 0

\frac{x}{2} = \frac{x^{2}}{x-2}

\frac{0}{2} = \frac{0^{2}}{0-2}

0 = \frac{0}{-2}

0 = 0

x = 0 is a solution of the rational equation.

x = -2

\frac{x}{2} = \frac{x^{2}}{x-2}

\frac{-2}{2} =  \frac{(-2)^{2}}{-2-2}

-1 = -1

x = -2 is a solution of the rational equation.

4 0
3 years ago
A the slope of f(x) is greater than the slope of g(x)
Komok [63]

To find the slope of g(x), use the slope formula(m):

m=\frac{y_2-y_1}{x_2-x_1}        And plug in two points, I will use:

(0, 2) = (x₁, y₁)

(5, 4) = (x₂, y₂)

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{4-2}{5-0}

m=\frac{2}{5}

You could do the same to find f(x) by finding two points and using the slope formula, or you could use this to tell visibly:

m=\frac{rise}{run}

Rise is the number of units you go up(+) or down(-) from each distinguished point

Run is the number of units you go to the right from each distinguished point

If you look at the graph, you can see the points (0, -1) and (3, 1). From each point, you go up 2 units and to the right 3 units (you can make sure by using another point). So the slope of f(x) is  \frac{2}{3}

Whichever line looks more vertical(and is positive) has the greater slope. So the slope of f(x) is greater than the slope of g(x). The answer is option A

7 0
3 years ago
(4x 10) + (5x2) + (7 x 1 10) + (8 160) = ?
jarptica [38.1K]

Answer:

It's 45.78

Step-by-step explanation:

4 x 10 = 40

5 x 1 = 5

7 x 1/10 = 0.7

8 x 1/100 = 0.08

add them all together and you get 45.78

6 0
3 years ago
What is the percent saved on a pair of sun glasses with a regular price of $15.95 which are on sale for $13.56?
icang [17]

Answer:

15%

Step-by-step explanation:

15% of 15.95 is 2.39, which if we subtract from 15.95 we get 13.56

Could I please have Brainliest? Hope this helps! :)

8 0
3 years ago
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