Answer:
<u>point-slope form:</u> y - 0 = ½(x - 3)
Step-by-step explanation:
Given the slope, m = ½, and the x-intercept, (3, 0):
We can substitute these values into the point-slope form:
y - y1 = m(x - x1)
y - 0 = ½(x - 3) ← This is the point-slope form.
If ever you need to transform the point-slope form into its slope-intercept form, y = mx + b:
Distribute ½ into the parenthesis:
y - 0 = ½(x - 3)
y = ½x - 3/2 (this is the slope-intercept form).
Answer:
20 votes
Step-by-step explanation:
You start with the percents: You always start with 100%
100-5=95
Then you multiply
95 x 4
4 is how many votes he received the 2nd time
95 x 4= 380
Then you subtract
380-360= 20
Your Welcome :)
Our current list has 11!/2!11!/2! arrangements which we must divide into equivalence classes just as before, only this time the classes contain arrangements where only the two As are arranged, following this logic requires us to divide by arrangement of the 2 As giving (11!/2!)/2!=11!/(2!2)(11!/2!)/2!=11!/(2!2).
Repeating the process one last time for equivalence classes for arrangements of only T's leads us to divide the list once again by 2
Answer:
The axis of symmetry is x = -2 and the vertex is (-2, 9)
Step-by-step explanation:
To find the vertex of the standard form equation, use the formula x = -b/2a. Then substitute -b/2a into the equation and solve for y.
Here a = -1, b = -4 and c = 5.
Substitute the values and solve.
x = -(-4)/2(-1)
x = 4/-2
x = -2
Substitute x = -2.
y = -(-2)^2 -4(-2) + 5
y = -4 + 8 + 5
y = 9
So the axis of symmetry is x = -2 and the vertex is (-2, 9).