Answer:
27/18= 1.5
18/6 = 3
3•1.5= 4.5
Step-by-step explanation:
$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.
Answer: The first number is 4
Explanation: Since the sum of the two numbers is ten, x + y = 10
Also, since the difference of the two numbers is two, then x - y = 2
Since x - y = 2, another way to write that is x = y + 2 and since x is exactly the same as y + 2, we can plug in "y + 2" in place of x in the first equation (x + y = 10) to get (y + 2) + y = 10. Then we solve this equation by combining like-terms.
2y + 2 = 10
2y = 8
y = 4
Since x = y + 2, x = 4 + 2 or x = 6
I hope this helped you!
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:
k\.
Step-by-step explanation:
The figure has reflective symmetry about a line if that line divides the figure in two similar parts, which are reflections of one another.
Notice that the two figures formed when the shape is divided by line k are not similar, since one has 7 vertices and the other just 4.
Notice that the two figures formed when the shape is divided by line m are not similar, since one has 7 vertices and the other just 4.
The line l divides the figure in two shape, one is a trapezoid and the other isn't.
Only line n divides the figure in two similar shapes.
Therefore, the correct choice is B) n only.
