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dezoksy [38]
3 years ago
5

Study the products shown. Is there a pattern?

Mathematics
2 answers:
Komok [63]3 years ago
8 0
C is the square of half of b.

This is evident in all products,

(6/2)² = 3²
= 9
(8/2)² = 4²
= 16
(10/2)² = 5²
= 25
(12/2)² = 6²
= 36
(b/2)² = c
GenaCL600 [577]3 years ago
5 0

Answer:

The correct option is 3. c is the square of half of b.

Step-by-step explanation:

The given equations are

(x+3)^2=x^2+6x+9

(x+4)^2=x^2+8x+16

(x+5)^2=x^2+10x+25

(x+6)^2=x^2+12x+36

These are the perfect square. According to this pattern,

(x+y)^2=x^2+2xy+y^2           .... (1)

Each product is in the form

(x+y)^2=ax^2+bx+c         .... (2)

From (1) and (2), we get

b=2y

c=y^2

c=(\frac{b}{2})^2                    [\because b=2y]

It means c is the square of half of b.

Therefore the correct option is 3.

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Which statement correctly compares functions f and g? function f function g An exponential function passes through (minus 1, 5),
slamgirl [31]

A statement correctly compares functions f and g is that: C. they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

<h3>What is a function?</h3>

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).

<h3>The types of function.</h3>

In Mathematics, there are different types of functions and these include the following;

  • Periodic function
  • Inverse function
  • Modulus function
  • Signum function
  • Piece-wise defined function.

Function g is represented by the following table and a line representing these data is plotted in the graph that is shown in the image attached below.

x          -1   0   1    2   3   4

g(x)     24  6   0  -2  

Based on the line, we can logically deduce the following points:

  • y-intercept approaches -2.43 to 24.86.
  • x-intercept approaches negative infinity (-∞) to infinity (∞).

This ultimately implies that, a statement correctly compares functions f and g is that both functions have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

Read more on function here: brainly.com/question/9315909

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6 0
1 year ago
Graph f(x) = 4[x] + 5
Elena L [17]

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\cocoatextscaling1\cocoaplatform1{\fonttbl\f0\fnil\fcharset0 HelveticaNeue;}

{\colortbl;\red255\green255\blue255;\red60\green64\blue67;}

{\*\expandedcolortbl;;\cssrgb\c23529\c25098\c26275;}

\deftab720

\pard\pardeftab720\partightenfactor0

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6 0
3 years ago
Thirteen equals one plus four s
victus00 [196]
13=1+4s
So you find S
So you take out 1, and subtract 1 from thirteen
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s=3
6 0
3 years ago
Please help!! I need the answer to the question in the picture!!!!
zloy xaker [14]

Answer:

\large\boxed{D.\ x=-2(y+3)^2-1}

Step-by-step explanation:

The equation of a horizontal parabola in the standard form:

x=a(y-k)^2+h

(h, k) - vertex

if a > 0, then open right

if a < 0, then open left

We have the vertrex (-1, -3) and the parabola is open left (a < 0).

Therefore the equation of a given parabola could be:

x=-2(y-(-3))^2+(-1)=-2(y+3)^2-1

8 0
3 years ago
If 6x=9y find the value of x:y.​
Ad libitum [116K]

Answer:

A complete angle is one which measures 360∘360∘.

The three angles

6x+20∘,9y+30∘,3z+40∘6x+20∘,9y+30∘,3z+40∘

add up to 360∘360∘, as per the question.

6x+20∘+9y+30∘+3z+40∘=360∘6x+20∘+9y+30∘+3z+40∘=360∘

⟹3(2x+3y+z)+90∘=360∘⟹3(2x+3y+z)+90∘=360∘

⟹3(2x+3y+z)=270∘⟹3(2x+3y+z)=270∘

⟹2x+3y+z=90∘⟹2x+3y+z=90∘

This is the required relation.

7 0
3 years ago
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