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iren [92.7K]
3 years ago
10

Which law says "If p and p Imported Asset q are true statements, then q is a true statement as well?"

Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0
Law of Syllogism is the answer
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Axis of sym: x =
marta [7]

Answer:

<h2>SEE BELOW</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • quadratic function
  • PEMDAS
<h3>let's solve:</h3>

vertex:(h,k)

therefore

vertex:(-1,4)

axis of symmetry:x=h

therefore

axis of symmetry:x=-1

  • to find the quadratic equation we need to figure out the vertex form of quadratic equation and then simply it to standard form i.e ax²+bx+c=0

vertex form of quadratic equation:

  • y=a(x-h)²+k

therefore

  • y=a(x-(-1))²+4
  • y=a(x+1)²+4

it's to notice that we don't know what a is

therefore we have to figure it out

the graph crosses y-asix at (0,3) coordinates

so,

3=a(0+1)²+4

simplify parentheses:

3 = a(1 {)}^{2}  + 4

simplify exponent:

3 =  a + 4

therefore

a =  - 1

our vertex form of quadratic equation is

  • y=-(x+1)²+4

let's simplify it to standard form

simplify square:

y =  - ( {x}^{2}  + 2x + 1)  + 4

simplify parentheses:

y =  -  {x}^{2}  - 2x - 1 + 4

simplify addition:

y =  -  {x}^{2}  - 2x + 3

therefore our answer is D)y=-x²-2x+3

the domain of the function

x\in \mathbb{R}

and the range of the function is

y\leqslant 4

zeroes of the function:

-  {x}^{2}  - 2x + 3 = 0

\sf divide \: both \: sides \: by \:  - 1

{x}^{2}  + 2x - 3 = 0

\implies \:  {x}^{2} +   3x  - x  +  3 = 0

factor out x and -1 respectively:

\sf \implies \: x(x + 3)   - 1(x  + 3 )= 0

group:

\implies \: (x - 1)(x + 3) = 0

therefore

\begin{cases} x_{1} = 1 \\  x_{2}  =  - 3\end{cases}

4 0
3 years ago
Can someone help me solve this?
sdas [7]
The area of a triangle is base x height/2,
so all you have to do is multiply 6x20 to get 120 and then divide that by 2 to get 60 m squared!! :)
5 0
3 years ago
Substitute the known value of x​ into y=4x+20​. Then solve for y entering the equation in simplest form
scoray [572]

Answer:

y=24, when x=1.

Step-by-step explanation:

Given: y=4x+20

To find: Value of y, substituting the known value of x

We have,

y=4x+20 ...(i)

Putting x=1 in equation (i), we get

y=4(1)+20

\implies y=4+20

\implies y=24  

Hence, the value of y is 24, when the value of x is 1.

8 0
3 years ago
The graph of relation v is shown. Which of the following graphs represents the relation and its inverse?
Elis [28]

Step-by-step explanation:

The relation and its inverse (if it exists) must be symmetrical about the line y = x.

Hence the answer is the 2nd from the top.

5 0
3 years ago
Read 2 more answers
What is-6 5/6 in decimal form? -6.516 -6.3125
olga2289 [7]
The answer is -6.833333333
8 0
3 years ago
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