Given the next quadratic function:
to sketch its graph, first, we need to find its vertex. The x-coordinate of the vertex is found as follows:
where <em>a</em> and <em>b</em> are the first two coefficients of the quadratic function. Substituting with a = 2 and b = 3, we get:
The y-coordinate of the vertex is found by substituting the x-coordinate in the quadratic function, as follows:
The factorization indicates that the curve crosses the x-axis at the points (-2, 0) and (1/2, 0). We also know that the curve crosses the y-axis at (0,-2). Connecting these points and the vertex (-0.75, -3.125) with a U-shaped curve, we get:
Why not look up "standard deviation" yourself, to be sure? But yes, the std. dev. is the sqrt of the variance.
Hong kong and Indonesia maybe
Train A will take 2 more hours than train B. Train A will take 5 hours while train B will only take 3 hours.
Answer:
Step-by-step explanation:
let x represent the number of minutes of call made.
Let y represent the cost for x minutes of call.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (10.86 - 5.91)/(10 - 5)
m = 4.95/5 = 0.99
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = intercept
m = slope
To determine the intercept, we would substitute x = 10, y = 10.86 and m = 0.99 into y = mx + c. It becomes
10.86 = 0.99 × 10 + c = 9.9 + c
c = 10.86 - 9.9
c = 0.96
The linear function becomes
y = 0.99x + 0.96
Therefore, for $12, the number of minutes would be
12 = 0.99x + 0.96
0.99x = 12 - 0.96
0.99x = 11.04
x = 11.04/0.99
x = 11.15 minutes
