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Vikki [24]
3 years ago
8

Can anyone please explain this to me​

Mathematics
1 answer:
Crazy boy [7]3 years ago
5 0
What Grade even is this ..
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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
Elena-2011 [213]

Answer:

f(x) = (x + 1)(x - 7)

Step-by-step explanation:

For a quadratic function to have a vertex with an x-coordinate of 3, then

3 =  -  \frac{b}{2a}

Let a=1, then we have

3 =  -  \frac{b}{2}

b =  - 2 \times 3 =  - 6

So now our equation becomes:

f(x) = {x}^{2}  - 6x + c

We now find two factors of c that add up to -6.

Let these factors be 1, and c.

Then

c + 1 =  - 6

c =  - 6 - 1 =  - 7

Therefore the factors are :

1 and -7.

The function becomes:

f(x) =  {x}^{2}  - 6x - 7

The factored form is

f(x) = (x + 1)(x - 7)

7 0
3 years ago
Heyyy ummm... help??
atroni [7]

<u>T</u><u>h</u><u>e</u><u> </u><u>s</u><u>t</u><u>a</u><u>t</u><u>e</u><u>m</u><u>e</u><u>n</u><u>t</u><u>s</u><u> </u><u>t</u><u>r</u><u>u</u><u>e</u><u> </u><u>f</u><u>o</u><u>r</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>g</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>f</u><u>u</u><u>n</u><u>c</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>a</u><u>r</u><u>e</u><u>:</u>

  • f(0) =  \frac{3}{2}
  • f(4) =   \frac{7}{2}

I tried them all and these two were correct, their solutions are as follows:

= f(x) = 1/2x + 3/2

= f(0) = 1/2 × 0 + 3/2

= f(0) = 0 + 3/2

= f(0) = 3/2

= f(x) = 1/2x + 3/2

= f(4) = 1/2 × 4 + 3/2

= f(4) = 2 + 3/2

= f(4) = 4+3/2

= f(4) = 7/2

So, that's how these two are correct.

7 0
3 years ago
Read 2 more answers
Simplify 16a divided by 4ab
zimovet [89]

Answer:

4b^-1

Step-by-step explanation:

16a/4 = 4a

4a/a = 4

4/b = 4b^-1

5 0
3 years ago
Read 2 more answers
A retirangle has an area of 40 units.the lenght is 6 units greater then the width
slega [8]
40 units multiply by 6 units equal 240 units

3 0
3 years ago
Read 2 more answers
Need Help ASAP
iren2701 [21]
The sum of the interior angles of a triangle is 180 degrees

2x-9+3x+x+3=180
6x-6=180
6x=186
x=31

A=2(31)-9
A=62-9
A=53
8 0
3 years ago
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