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

the vertex form could be

(x - 3)^2 - c    where c is the y coordinate of the vertex This graph would open upwards.  The graph is symmetrical about the line x = 3

-  so if  it has 2 distinct roots  they will be at equal intervals either side of x = 3 .

So we could make those root x = 1 and x = 5

f(x)  =  (x - 1 ) x - 5)  would be  an example of  what you require

f(x)   = (x - 8)(x + 2)  

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

for a it would be 24 children.

for b i don't understand the question. is it saying for each individual person they pick 5 reds to 7 greens or is it the whole group. clarify and i hope this can you.

step-by-step explanation: