Step-by-step explanation:
8x-5= 6x + 1
8x - 6x = 1+5
2x = 6
x= 2/6 = 1/3
x= 0.333
Vertex: (-5,-2); parabola opens up;
General form of the equation for a vertical parabola opening up is:
y-k = a(x-h)^2; knowing that the vertex is at (-5,-2), we can write:
y+2 = a(x+5)^2. We need to find the value of the coefficient a.
From the graph we see that y is 10 when x is approx. -1 3/4 (or -7/4).
subst. these values into y+2 = a(x+5)^2, we get:
10 + 2 = a(-7/4 + 5)^2, or 12 = a(13/4)^2, or 1 = a(169/16).
Solving for a: a = 16/169 = 0.09, or approx 16/160, or 1/10. Unfortunately, this is not close to any of the four answer choices.
I thought it best to try again, and fortunately my second try was correct:
10+2 = a(13/4)^2, or (169/16)a. Thus, 12 = a(169/16)
12
Solving for a: a = ------------- = 1.14. The answer choice closest to this is 1.
169/16
Answer A is correct.
Answer:
y – 8 = –0.2(x + 10)
Step-by-step explanation:
<h2>
Answer:</h2>
5 3/4 inches
<h2>
Step-by-step explanation:</h2><h3>Known :</h3>
- It snowed 1 3/8 in the morning
- It snowed 4 3/8 in the morning
<h3>Asked :</h3>
- The total amount of the snowfall
<h3>Solution :</h3>
We can add the amount of snowfall in Belmont in the afternoon and in the morning to find the total amount of snowfall.
4 3/8 + 1 3/8
= (4 + 1) + (3/8 + 3/8)
= 5 + 6/8
= 5 6/8
= 5 3/4
<h3>Conclusion :</h3>
The total amount of snowfall is 5 3/4 inches
The coordinate point is 8