Answer:
7r^2-64r+64
49r-64r+64
-15r+64
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
Apply the negative exponent rule
The bases will cancel each other
Answer
The vertex is at point (-3, -1)
The axis of symmetry is x = -3
Explanation
We are asked to find the vertex and axis of symmetry of the equation given.
f(x) = x² + 6x + 8
The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.
The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.
To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.
(df/dx) = 0
f(x) = x² + 6x + 8
(df/dx) = 2x + 6
At the vertex
(df/dx) = 2x + 6 = 0
2x = -6
Divide both sides by 2
(2x/2) = (-6/2)
x = -3
We then insert this into the equation to get the corresponding f(x) value.
f(x) = x² + 6x + 8
f(-3) = (-3)² + 6(-3) + 8
= 9 - 18 + 8
= -1
Hence, the vertex is at point (-3, -1)
And since the axis of symmetry has to pass through the vertex,
The axis of symmetry is x = -3
Hope this Helps!!!
Answer:
1
Step-by-step explanation:
You can use greatest common factor(gcf)
list the factors of 18 and 30.
18- 1, 2, 3, 6, 9, 18
30- 1, 2, 3, 5, 6, 10, 15, 30
now the factor that is greatest is 6.
this mean you can use the largest square tile of 6in by 6in without overlap or cutting.
