Answer:
Second option
Third option
Fourth option
Step-by-step explanation:
We have the following quadratic function

Use the distributive property to multiply the expression


For a function of the form
the x coordinate of the vertex is:

Then in this case the coordinate of the vertex is:


To obtain the y coordinate of the vertex we evaluate the function at 



Then the vertex is: (-3, -16)
We can see in the graph that the zeros of the function are x=1 and x=-7
Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞
The function is positive for
and 
The correct answers are:
Second option
Third option
Fourth option
Answer:
10 units
Step-by-step explanation:
1. Do the square in the middle
2 x 2 = 4
2. Do the triangle on the left
2 x 2 divided by 2 = 2
3. Do the triangle on the right
4 x 2 divided by 2 = 4
4. Add them all up
4 + 2 + 4 = 10
x = number of adult tickets
y = number of children tickets
9x + 6y = 1053
x+y = 127 so x = 127 - y
replace x = 127 - y into 9x + 6y = 1053
9(127 - y) + 6y = 1053
1143 -9y + 6y = 1053
-3y = 1053 -1143
-3y = -90
y = 30
x = 127 - 30
x = 97
answer: 97 adults and 30 children
Answer:
Associative property of addition
Step-by-step explanation:
(4+10)+(-10)
We want to change the parentheses to
4 + ( 10 + -10)
We can use the Associative property of addition
( a+b) + c = a+ ( b+c)