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Anestetic [448]
1 year ago
9

The process of completing the square

Mathematics
1 answer:
iVinArrow [24]1 year ago
5 0

The method of completing the square can be used to determine the vertex of a function. he unknown value is -162

<h3>Completing the square of a function</h3>

The method of completing the square can be used to determine the vertex of a function.

Given the quadratic function

-2x² + 36x
-2(x²-18)

Complete the square

-2(x² - 18x + ( -9)²+ 9²)
-2(x-9)² + -2(81)
-2(x-9)² - 162

Compare

On comparing with the expression, you can see that the unknown value is -162

Learn more on completing the square here: brainly.com/question/13981588

#SPJ1

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110% of 70 as a decimal.
Leviafan [203]

110% OF 70 is 77( if you meant of as in multiply)

otherwise...I'm sure its 0.77


sorry if its incorrect

hope I was able to help in some way...

5 0
3 years ago
Using a fair coin and a number cube with faces numbered 1 through 6, what is the probability of getting heads and rolling a 5?
torisob [31]

Step-by-step explanation:

Use Multiplication Principle with states that if a event can occur n ways, and another mutually exclusive event occur p ways, then the total outcome is

n \times p

The possible ways of rolling a dice is 6 and the possible ways of flipping a coin is 2 so we have

6 \times 2 = 12

Now, we use the fact that proabliblity is

Number of favorable outcomes/ Total outcomes.

We can only get a head and a 5 once out of the set so the number of favorable outcomes is 1. Total outcomes is 12 so we have

\frac{1}{12}

A is the answer.

3 0
2 years ago
How do you simplify this?<br>x²y+xy² / y²+2/5 × xy​​​
polet [3.4K]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • How do you simplify this?
  • x²y+xy² / y²+2/5 × xy

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\sf\frac{  { x  }^{ 2  }  y+x { y  }^{ 2  }    }{  { y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy  } \\

Factor the expressions that are not already factored.

_____

<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>

<u>NUMERATOR</u> \downarrow

\sf \: x ^ { 2 } y + x y ^ { 2 }

Factor out xy.

\sf \: xy\left(x+y\right)

<u>DENOMINATOR</u> \downarrow

\sf{ y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy \\

Factor out 1/5.

\sf \: {\frac{1}{5}y\left(2x+5y\right)}  \\

_____

Continuing...

\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)}  \\

Cancel out y in both the numerator and denominator.

\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)}  \\

Expand the expression.

\sf\frac{x^{2}+xy}{\frac{2}{5}x+y}  \\

This can further simplified to as \downarrow

=    \boxed{\boxed{\bf\frac{5x\left(x  +y\right)}{2x+5y}}}

3 0
3 years ago
Y=x7<br><br><br> Please help I really confused
tigry1 [53]

Answer:

Where is the rest of the question? What is it asking?

Step-by-step explanation:

Well I guess if you want to change up the equation you can do 7 * X = Y

The * is just a multiplecation symbol if you didnt know

8 0
3 years ago
Find f(5) for f (x)=1/4 (2)^x
Ber [7]
F(5) = 1/4(2)^5
f(5) = 1/4 (32)
f(5) = 8

answer
A. 8
7 0
3 years ago
Read 2 more answers
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