Answer:

Step-by-step explanation:
For a quadratic function to have a vertex with an x-coordinate of 3, then

Let a=1, then we have


So now our equation becomes:

We now find two factors of c that add up to -6.
Let these factors be 1, and c.
Then


Therefore the factors are :
1 and -7.
The function becomes:

The factored form is

<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>
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.
Answer:
4b^-1
Step-by-step explanation:
16a/4 = 4a
4a/a = 4
4/b = 4b^-1
40 units multiply by 6 units equal 240 units
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