Answer:
x ∈ {-5, 3}
Step-by-step explanation:
The vertex form of the equation for a parabola with vertex (h, k) and vertical scale factor "a" is ...
... y = a(x -h)^2 +k
Your vertex and y-intercept allow us to find the value of "a" by putting these numbers into this equation.
... -15 = a(0 -(-1))^2 +(-16)
.. -15 = a -16 . . . . simplify
... 1 = a . . . . . . . . add 16
Then the vertex form of the equation of the parabola is ...
... y = (x+1)^2 -16
The x-intercepts occur where y = 0:
... 0 = (x +1)^2 -16
... 16 = (x +1)^2 . . . . . . . . . add 16
... ±√16 = ±4 = x +1 . . . . . take the square root
... -1 ±4 = x . . . . . . . . . . . . these are the x-intercepts: -5, +3
Answer:
-8(x²-2)
Step-by-step explanation:
Factor -8 out of -8x²
-8(x²)+16
Factor -8 out of 16.
-8(x²)-8(-2)
Factor -8 out of -8(x²)-8(-2).
Answer:
Step-by-step explanation:
6 cups × (1 serving)/(¼ cup) = 24 servings
Answer: 0.25 miles
Step-by-step explanation:
When solving a word question, look for certain words that tell you what you should be solving for, and how to solve it.
In this problem, the group DIVIDES the length of the road EQUALLY, which tells you that in order to solve the problem, you must divide the length of the road by the number of volunteers.
The road is 2 miles long, and there are 8 volunteers, so
8/2 = 0.25
Thus, each person must clean 0.25 miles of road.
I clicked by accident to answer this question and don't know how to delete my entry. (sorry)
54*1 = 54
54^1=54 however 54^0=1