What is the vertex of the graph of the function below y=x^2+10x+24

Step-by-step explanation:

We are asked to find the vertex of the function .

First of all, we will find x-coordinate of vertex using formula .

Now, we will substitute in our given formula to find y-coordinate of vertex as:

Therefore, point is the vertex of the given function.

answer:

b: hannah charges a $7.00 initial fee

step-by-step explanation:

jaya's plan:

jayna charges $10 for the first hour, and $3 for each additional hour she babysits.

let she did job for h hours.

so, cost for first hour = $10

so, remaining hours = h-1

cost for each additional hours = $3

so, cost for (h-1) hours = 3(h-1)

so, jayna,s plan equation for h hours =

hannah's plan equation =

where d = dollars charged

h = hours

a)if they babysit for 5 hours, jayna will earn more

jayna,s plan equation   =

substitute h = 5 hours

so, jayna's earning =

hannah's plan equation =

substitute h = 5

so, hannah's earning =

since jayna is earning less .

so, option a is incorrect.

b)hannah charges a $7.00 initial fee

hannah's plan equation =

charges for h hours = 7h

so, charges for 1 hour = 7

thus option b is correct.

c) if they only babysit for 1 hour, hannah will earn more

jayna,s plan equation   =

substitute h = 1 hours

so, jayna's earning =

hannah's plan equation =

substitute h = 1

so, hannah's earning =

since hannah is earning less .

so, option c is incorrect.

d)jayna charges a lower hourly rate than hannah

jayna first hour earning = $10

hannah first hour earning = $7

since jayna charges a higher hourly rate than hannah.

so, option d is incorrect.

hence hannah charges a $7.00 initial fee compares the both.