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Lyrx [107]
3 years ago
8

Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis

tinct roots
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
5 0

Answer:

Find any two x-intercepts that are equal distance from the axis of symmetry. Use those x-intercepts to write factors of the function by subtracting their values from x.For example, 2 and 4 are each 1 unit from x = 3,

Step-by-step explanation:

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IgorC [24]

Answer:

C

Step-by-step explanation:

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8 0
3 years ago
Nima uses 2/3 cup peanuts, 1/2 cup cashews , 3/4 cup pecans, and some raisins in a recipe that makes 2 1/4 cups of trail mix. Ho
aliina [53]

Answer: There are 2/3 cups of peanuts and 21/4 cups of trail mix if you are to subtract the two witch gives you 4.58333333333 then simplify that as a fraction  u should get 41/2 then simplify that u should get  20 or 1/2

Step-by-step explanation:

8 0
3 years ago
Kerry invited 23 friends to his pool party. They played a game where everyone had to separate into groups. Each group had the sa
Alex17521 [72]

Answer:

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Step-by-step explanation:

6 0
2 years ago
How many x-intercepts would the function shown below have?<br> f(x) = -5x (2x + 1)? (x² – 6)(x² + 9)
BabaBlast [244]

Step-by-step explanation:

Here we have

f

(

x

)

=

2

x

2

(

x

2

−

9

)

, which can be factorized as

f

(

x

)

=

2

x

2

(

x

+

3

)

(

x

−

3

)

As there is no common factor between numerator and denominator, there s no hole.

Further vertical asymptotes are

x

=

−

3

and

x

=

3

and as

f

(

x

)

=

2

x

2

(

x

2

−

9

)

=

2

1

−

9

x

2

, as

x

→

∞

,

f

(

x

)

→

2

, hence horizontal asymptote is

y

=

2

.

Observe that

f

(

−

x

)

=

f

(

x

)

and hence graph is symmetric w.r.t.

y

-axis. Further as

x

=

0

,

f

(

x

)

=

0

. Using calculas we can find that at

(

0

,

0

)

there is a local maxima as

d

y

d

x

=

−

36

x

(

x

2

−

9

)

2

and at

x

=

0

it is

0

. Further while for

x

<

−

3

and

x

>

3

, function is positive, for

−

3

<

x

<

3

function is negative.

Now take a few values of

x

say

{

−

10

,

−

7

,

−

4

,

−

2

,

−

1

,

1

,

2

,

4

,

7

,

10

}

and corresponding values of

f

(

x

)

are

{

2

18

91

,

2

9

20

,

4

4

7

,

−

1

3

5

,

−

1

4

,

−

1

4

,

−

1

3

5

,

4

4

7

,

2

9

20

,

2

18

91

}

5 0
3 years ago
5x-(x +3)=1/3(9x+18)-5
goldfiish [28.3K]
Here is the answer with the work shown
7 0
3 years ago
Read 2 more answers
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