Answer:
vertical asymptote X=-1
horizontal asymptote Y=2
Step-by-step explanation:
Percent is parts out of 100 so
45%=45/100=9/20
'of' means multiply
18 =9/20 times something
multiply both sides by 20/9 to clear fraction
360/9=something
40=something
the value is 40
Step-by-step explanation:
Total numbers of pizza toppings = 12
Number of three topping pizzas can be ordered are:

where = n = number of elements
k = number of elements choosen
n= 12 , k = 3

We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.
Answer:
A) y = (x + 3)² + 4
B) y = (x - 3)² + 2
C) y = (x - 1)² - 5
Step-by-step explanation:
2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)
As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to
"+ 4" to shift the curve upward by 2
y = (x + 3)² + 4
When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)
This means that the term in parenthesis must be zero with our desired x value
(3 + C)² = 0
3 + C = 0
C = -3
y = (x - 3)² + 2
4 units right and 7 units down mean that the vertex is desired at (1, -5)
(1 + C)² = 0
C = -1
y = (x - 1)² - 5
you cant add or subtract or multiply or divide if the variables arent the same so the simplified version of <span>-3x²ym + 7x - 5ymx² + 16x would be
</span> -3x²ym <span>- 5ymx² + 23x</span>