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polet [3.4K]
3 years ago
5

What is the mean of the data set? 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18 a.14.75 b.15.75 c.13.50 d.14.00 need answer asa

p
Mathematics
1 answer:
cricket20 [7]3 years ago
7 0
If you add them all up and divide it with how many different numbers you have then you get 13.5 (C)
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Hello, I am currently very stuck with this problem and I am unsure as to how I would solve it.
borishaifa [10]

We have the equation

20y=x^2-10-15

Let's complete the square, to do it let's add and subtract 25 on the right side

\begin{gathered} 20y=x^2-10-15+25-25 \\  \\ 20y=(x-5)^2-15-25_{} \\  \\ 20y=(x-5)^2-40 \\  \\  \end{gathered}

Now we can have y in function of x

\begin{gathered} y=\frac{1}{20}(x-5)^2-2 \\  \\  \end{gathered}

Now we can already identify the vertex because it's in the vertex form:

y=a(x-h)+k

Where the vertex is

(h,k)

As we can see, h = 5 and k = -2, then the vertex is

(5,-2)

Now we can continue and find the focus, the focus is

\mleft(h,k+\frac{1}{4a}\mright)

We have a = 1/20, therefore

\begin{gathered} \mleft(5,-2+5\mright) \\  \\ (5,3) \end{gathered}

The focus is

(5,3)

And the last one, the directrix, it's

y=k-\frac{1}{4a}

Then

\begin{gathered} y=-2-5 \\  \\ y=-7 \end{gathered}

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7

5 0
1 year ago
Hey! i’ll give brainliest please help
balu736 [363]

Answer:A!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
If using the method of completing the square to solve the quadratic equation x^2-10x-13=0, which number would have to be added t
Maru [420]

Answer: The solution to the problem is based on the solutions

from the subproblems.

x = {8.464101615, 1.535898385}

Step-by-step explanation:  

x^2-10x+13=0

Simplifying

x2 + -10x + 13 = 0

Reorder the terms:

13 + -10x + x2 = 0

Solving

13 + -10x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.

13 + -10x + -13 + x2 = 0 + -13

Reorder the terms:

13 + -13 + -10x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0

0 + -10x + x2 = 0 + -13

-10x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13

-10x + x2 = -13

The x term is -10x.  Take half its coefficient (-5).

Square it (25) and add it to both sides.

Add '25' to each side of the equation.

-10x + 25 + x2 = -13 + 25

Reorder the terms:

25 + -10x + x2 = -13 + 25

Combine like terms: -13 + 25 = 12

25 + -10x + x2 = 12

Factor a perfect square on the left side:

(x + -5)(x + -5) = 12

Calculate the square root of the right side: 3.464101615

Break this problem into two subproblems by setting  

(x + -5) equal to 3.464101615 and -3.464101615.

6 0
2 years ago
Find the slope of the line through the pair of points (17, -12) (11, 5)
BARSIC [14]

Hello!

Step-by-step explanation:

Slope formula: \frac{Y^2^-^Y^1}{X^2-X^1}=\frac{rise}{run}

Y^2,Y^1=(5,-12)

X^2,X^1=(11,17)

\frac{5-(-12)=5+12=17}{11-17=-6}=\frac{17}{-6}

Answer: \frac{17}{-6}

Slope is 17.

Y-intercept is -6.

Hope this helps!


4 0
3 years ago
Please help will give Brain to right person
spin [16.1K]
Okay so i’m 100% because i just started learning this but i think ASA
8 0
3 years ago
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