Answer:
-1
Step-by-step explanation:
5^(3b-1) = 5^(b-3)
3b-1=b-3 / +1 -b
2b = -2
b = -1
Get two points and do change in y over change in x
for example
the 2 points are (2,4) (4,8)
change in y: 8-4= 4
change in x: 4-2=2
4/2= 2
Answer:
The parabola's axis of symmetry is x = -6
Step-by-step explanation:
Parabola general equation:
y = a*(x - r1)*(x - r2)
Equation given:
y = (-1/4)*(x + 2)*(x + 10)
a = -1/4
r1 = -2
r2 = -10
To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:
y = (-1/4)*(2+ 2)*(2 + 10) = -12
Then, point (2, 10) is not included in the parabola.
If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward
Axis of symmetry:
h = (r1 + r2)/2
h = (-2 + -10)/2 = -6
Then, The parabola's axis of symmetry is x = -6
To find Parabola's vertex, replace with the axis of symmetry:
y = (-1/4)*(-6 + 2)*(-6 + 10) = 4
Therefore, the parabola has a vertex at (-6, 4)
Answer:
(h, k) is the point that represents the vertex of this absolute value function
Step-by-step explanation:
Recall that the vertex of an absolute value function occurs when the expression within the absolute value symbol becomes "zero", because it is at this point that the results in sign differ for x-values to the left and x-values to the right of this boundary point.
Therefore, in your case, the vertex occurs at x = h, and when x = h, then you can find the y-value of the vertex by looking at what f(h) renders:
f(h) = a | h - h | + k = 0 + k = k
Then the point of the vertex is: (h, k)
Answer:
Step-by-step explanation:
Slope is equal to the change in y over the change in x.
The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates .
Substitute in the values of x and y into the equation to find the slope.
Simplify.
<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>slope</u><u> </u><u>is</u><u> </u><u>3</u><u>/</u><u>4</u><u>.</u>
