Answer:
0.5 I think. because for every 2 on the x axis, it grows 1 on the y axis.
Answer:
Table B
Step-by-step explanation:
If you see any number in the input being used more than once, it is not a function. If all numbers of the input are different, it is a function.
Only Table B is a function since all input numbers are different.
Answer:
Below.
Step-by-step explanation:
You find the values of y by substituting the values of x in the expression x^2 + 3x - 1.
So f(-4) = (-4)^2 + 3(-4) - 1 = 16-12-1 = 3
in the same way f(-3) = -1, f(-2) = -3, f(-1) = -3,
f(0) = -1 and f(1) = 3.
Now plot the points (-4, 3) , (-3, -1) and so on
Then you can read the values off this graph.
Answer:
1,500
Step-by-step explanation:
Ratio of Sugar to Flour: 5:8 -> 25:40
Ratio of Flour to Baking Soda: 10:1 -> 40:4
Sugar to Flour to Soda: 25x:40x:4x
=
-> x = 60
Sugar = 25x = 1,500
Hope this helps :)
Answer:

Step-by-step explanation:
∵ The quadratic equation form is :
y = [1/2(b - k)] (x - a)² + (b + k)/2
Where (a , b) is the focus and directrix y = k
∵ The focus is (4 , -3) and directix is y = -6
∵ 
∴ 
∴ 
another way:
Assume that (x , y) is the general point on the parabola
∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)
By using the distance rule:
∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)
∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9
∴ 12y - 6y = (x - 4)² + 9 - 36
∴ 6y = (x - 4)² - 27 ⇒ ÷ 6
∴ y = 1/6 (x - 4)² - 9/2