Y-intercept: -5
slope: 6/2 = 3
equation of line: y = 3x - 5
inequality: y > 3x - 5
Answer:
12,138 people
Step-by-step explanation:
Create an equation using the basic exponential growth equation:
y = a(1 + r)^t, where a is the initial amount, r is the growth rate as a decimal, and t is the amount of time in years.
Plug in the values we know
y = a(1 + r)^t
y = 8200(1 + 0.04)^10
y = 8200(1.04)^10
= 12,138 people
Answer:
x = -1
Step-by-step explanation:
With the axis of symmetry, think of it as where you would slice this line in half, and both sides would look identical to each other. Since this is a quadratic function, this would be at where the vertex is.
The vertex is the part of the line where it "turns" around and starts going the other way. So vertex of this line is at (-1, 3).
Therefore, the axis of symmetry is at x = -1. This is since the function is pointing either up/down, and any value that is x = _ is a vertical line.
1. The correct answer should be A
2. The answer should be C
3. I think the answer is D
4. The answer should be D
Hope this helps :)
The area under the speed curve tells you how much distance the vehicle covers.
The distance for first 30 s corresponds to the area of a rectangle with height <em>k</em> m/s and length 30 s, or
(<em>k</em> m/s) (30 s) = 30<em>k</em> m
The distance for the last 20 s corresponds to the area of triangle with height <em>k</em> m/s and length 20 s, or
1/2 (<em>k</em> m/s) (20 s) = 10<em>k</em> m
If the total distance traveled was 1.7 km = 1700 m, then
30<em>k</em> + 10<em>k</em> = 1700
40<em>k</em> = 1700
<em>k</em> = 42.5
