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Blababa [14]
3 years ago
6

Order the group of quadratic functions from widest to narrowest graph.

Mathematics
2 answers:
Alika [10]3 years ago
4 0
In a quadratic function, y = a(x²) the smaller the coefficient "a", the larger is the parabola:
From widest to narrowest:

1) y=1/3x² (Widest)

2) y= -1/2x² (Wider)

3) y=-9x² (narrowest)

mote1985 [20]3 years ago
3 0

Answer:

The parabola represented by equation y=\frac{1}{3}x^2 is widest

The parabola represented by equation y=-\frac{1}{2}x^2 is wider

and the parabola represented by equation y=-9x^2 is narrowest

Step-by-step explanation:

we know that equation of parabola is given as,

y= ax^2

Here,

a is a constant which decide the size of parabola

if value of a is larger than the parabola will be wider

here

we have given three parabola

y=-9x^2, y=\frac{1}{3}x^2, y=\frac{-1}{2}x^2

<u>and it is clear that </u>

-9

Therefore

The parabola represented by equation y=\frac{1}{3}x^2 is widest

The parabola represented by equation y=-\frac{1}{2}x^2 is wider

and the parabola represented by equation y=-9x^2 is narrowest

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AveGali [126]

Answer:

17/8

Step-by-step explanation:

2/1=2

11-2-6-7/8

9-6-7/8

3-7/8

24/8-7/8

17/8

8 0
3 years ago
The expression p/x^2 - 5x +6 simplifies to x+4/x-2. Which expression doees p represent?
gladu [14]
We know that
(ad)/(bd)=d/d time a/b=a/b since d's cancel
also
if a/b=c/d in simplest form, then a=c and b=d

we have
p/(x^2-5x+6)=(x+4)/(x-2)
therefor

p/(x^2-5x+6)=d/d times (x+4)/(x-2)
p/(x^2-5x+6)=d(x+4)/d(x-2)

therefor
p=d(x+4) and
x^2-5x+6=d(x-2)

we can solve last one
factor
(x-6)(x+1)=d(x-2)
divide both sides by (x-2)
[(x-6)(x+1)]/(x-2)=d
sub


p=d(x+4)
p=([(x-6)(x+1)]/(x-2))(x+4)
p= \frac {(x-6)(x+1)(x+4)}{(x-2)}

7 0
3 years ago
Please help meeeeeeeeeeeew
Paladinen [302]

Answer:

  • 40 sq. units

Step-by-step explanation:

<h3>Solution 1</h3>

The figure (kite) is symmetric and covers half of the area of rectangle with sides 8 units aby 10 units

<u>The area of the rectangle:</u>

  • A = 8*10 = 80 sq. units

<u>The area of the kite:</u>

  • A = 1/2*80 = 40 sq. units
<h3>Solution 2</h3>

Split the kite into two triangles and calculate their area and add up

<u>Triangle DCB has b = 8, h = 2 and has area:</u>

  • A = 1/2*8*2 = 8 sq. units

<u>Triangle DAB has b = 8, h = 8 and has area:</u>

  • A = 1/2*8*8 = 32 sq. units

<u>Total area:</u>

  • 8 + 32 = 40 sq. units
6 0
3 years ago
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Write this as a power of 2. ex ( 2^n) requires knowledge of negative exponents
Snowcat [4.5K]

Answer:

<h3>22.627417</h3>

Step-by-step explanation:

\frac{32}{ \sqrt[8]{16} }  \\

Simplify

\frac{32}{1.414213562}  \\   \\ = 22.627417

Method 2 :

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Step-by-step explanation:

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8 0
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